Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3 12 ft.3. Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft. 3 16 ft.3. What are the widths of Kyle and Myla's boxes? Explain how you know.
Answers
Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.
Step-by-step explanation:
Formula : Volume of cuboidal box = length x width x height
\(width=\dfrac{Volume}{length\times height}\)
Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .
\(width=\dfrac{12}{2\times3}=2\ ft.\)
Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.
\(width=\dfrac{16}{4\times2}=2\ ft.\)
Hence, the widths of Kyle and Myla's boxes is the same as 2 ft.
Answer:
Step-by-step explanation:
Volume of cuboidal box = length x width x height
Related Questions
The major key with 2 flats is the key of _____. f major e♭ major a♭ major b♭ major *subject is music*
Answers
The major key with 2 flats is :
B♭ major
Answer:
The key of B♭ major has two flats
Step-by-step explanation:
An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.
Hope this helps
~Heaven~
Please Read the Attachment below
Answers
Answer:
Step-by-step explanation:
\(\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}\)
\(=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}\)
There are 18 girls in a class. If this number 3 by 5 is parts of the total number students in the class, find the total number of students in the class.
Answers
Answer:
33
Step-by-step explanation:
18 girls in a class
3*5=15
Answer:
30
Step-by-step explanation:
3 : 5 = 18 : x
x = 18 * 5 /3
x = 6 * 5 = 30
another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
Answers
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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55000/500 in standard form
Answers
Answer:
i think it is 110
Step-by-step explanation:
sorrt if i am wrong
What is the answer 3.9cm=___mm
Answers
Answer:
3.9cm= 39mm
Multiply 3.9 by 10 to convert cm into mm.
Jacob and Poppy bought petrol from different petrol
stations.
a) Was Jacob's petrol or Poppy's petrol better value for
money?
b) How much would 20 litres of petrol cost from the
cheaper petrol station?
Give your answer in pounds (£).
Jacob
£18.90 for 14 litres
of petrol
1
Poppy
£22.10 for 17 litres
of petrol
Answers
a) Poppy's petrol was better value for money as it cost less per liter. b) 20 liters of petrol from the cheaper petrol station (Poppy's petrol station) would cost £26.00.
How to determine if Jacob's petrol or Poppy's petrol better value for moneya) To determine which petrol was better value for money, we need to calculate the price per liter for each petrol station:
Jacob's petrol: £18.90 / 14 litres = £1.35 per litre
Poppy's petrol: £22.10 / 17 litres = £1.30 per litre
Therefore, Poppy's petrol was better value for money as it cost less per litre.
b) To calculate the cost of 20 litres of petrol from the cheaper petrol station, we need to determine which petrol station was cheaper:
Jacob's petrol: £1.35 per litre x 20 litres = £27.00
Poppy's petrol: £1.30 per litre x 20 litres = £26.00
Therefore, 20 litres of petrol from the cheaper petrol station (Poppy's petrol station) would cost £26.00.
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simplify (89^6x91^3)^0
Answers
i dont know but i do know that OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
I NEED HELP WITH THIS!
They plan to sell the small figures for $8 and the large figures for $10. How many of each figure should Pablo and Kenneth create to earn the most amount of money possible? For full credit, explain HOW you got your answer and WHY you think this is the best combination of figures.
Answers
Answer:
Not enough information
Step-by-step explanation:
There is no limit to how many figures you can create. There is not enough information to solve this. If this is only a part of the question, try to include all of it.
Answer: I disagree. If Pablo has enough time to make 10 figures. He could make 8 of the large figures and make $80.00 and then make 2 of the large figures and make $16. Together with the 8 small and 2 large figures they would make $96.00
Step-by-step explanation: I took the test. Dont know if its right, but its better than the other answer.
Please help, solve for x and n
Answers
Answer:
1. \( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}\)
2. \( \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}\)
Step-by-step explanation:
1. \( \sf{ \frac{6}{x + 1} = \frac{3}{x} }\)
Do cross multiplication
\( \dashrightarrow{ \sf{6x = 3(x + 1)}}\)
Distribute 3 through the parentheses
\( \dashrightarrow{ \sf{6x = 3x + 3}}\)
Move 3x to left hand side and change it's sign
\( \dashrightarrow{ \sf{6x - 3x = 3}}\)
Collect like terms
\( \dashrightarrow{ \sf{3x = 3}}\)
Divide both sides by 3
\( \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}\)
Calculate
\( \dashrightarrow{ \sf{x = 1}}\)
The value of x is 1
---------------------------------------------------------------------
2. \( \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} \)
Do cross multiplication
\( \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}\)
Distribute 2 through the parentheses
Similarly, distribute 6 through the parentheses
\( \dashrightarrow{ \sf{2n - 2 = 12n + 48}}\)
Move 12n to left hand side and change it's sign
Similarly, move 48 to right hand side and change it's sign
\( \dashrightarrow{ \sf{2n - 12n = 48 + 2}}\)
Collect like terms
\( \dashrightarrow{ \sf{ - 10n = 48 + 2}}\)
Add the numbers : 48 and 2
\( \dashrightarrow{ \sf{ - 10n = 50}}\)
Divide both sides by -10
\( \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}\)
Calculate
\( \dashrightarrow{ \sf{n = - 5}}\)
The value of n is -5 .
Hope I helped!
Best regards! :D
A triangular pyramid with a volume of 90 cubic inches has a height of 15 inches. A triangular prism with a volume of 270 cubic inches has a height of 15 inches What must be true of their bases?
Answers
The area of the bases of the second triangular pyramid will be 3 times the first one.
What is a triangular pyramid?
A tetrahedron is a four-sided, three-dimensional object that is also known as a triangular pyramid. Its triangular base is formed by three triangles, the sides of which meet at the apex above the base.
We are given that a triangular pyramid with a volume of 90 cubic inches has a height of 15 inches.
So, area of the bases is
⇒ Volume = \(\frac{1}{3}\) * A * H
⇒ 90 = \(\frac{1}{3}\) * A * 15
⇒ 90 = A * 5
⇒ A = 18 square inches.
Similarly, another pyramid with a volume of 270 cubic inches has a height of 15 inches.
So, area of the bases is
⇒ Volume = \(\frac{1}{3}\) * A * H
⇒ 270 = \(\frac{1}{3}\) * A * 15
⇒ 270 = A * 5
⇒ A = 54 square inches.
Hence, the area of the bases of the second triangular pyramid will be 3 times the first one.
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Solve using PEMDAS
11²-[3. (8-5)*7-19=
Answers
Step-by-step explanation:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Answer:
39.
Step-by-step explanation:
I say good try to the first guy, but aye, it's not fully answering the question.
PEMDAS is the order you solve all of this in. Parenthesis (), Exponents (^), Multiplication (*), Division (/), Addition (+), and Subtraction (-).
We would solve (8-5) first for 3, since there is no sign between both three's, this will be multiplication.
Next is the exponent, 11^2 is 11*11, which is equal to 121.
121 - 3 * 3 * 7 - 19
Next up is Multiplication. 3 * 3 = 9, and 9 * 7 is 63.
Now our equation is 121 - 63 - 19. There is no Division or addition symbol, so we skip to Subtraction.
121 - 63 = 58, and 58 - 19 = 39.
Your Answer is 39.
*giving brainest 5 stars and ty to correct answer*
Answers
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Each time you divide or multiply by a negative number, you must change the direction of the inequality symbol.
Four less than a number is twelve
Answers
Can someone please help me with this question?
A semicircle has radius 5.6cm. Work out the perimeter of the semicircle.
Answers
Answer:
28.79 cm.
Step-by-step explanation:
The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.
The diameter of the semicircle is 2 × 5.6cm = 11.2cm.
The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.
Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.
The perimeter of the semicircle is the sum of the diameter and the circumference, which is:
11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)
Therefore, the perimeter of the semicircle is approximately 28.79 cm.
Answer:
pi ( 5.6 ) + 11.2 or approximately 28.79291 cm
Step-by-step explanation:
The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.
Perimeter = 1/2 C + d
= 1/2 *pi*d + d
The diameter is 2 times the radius.
= 1/2 ( pi) * (2r) + 2r
= pi r + 2 r
= pi ( 5.6 ) + 11.2
Approximating pi, we get approximately 28.79291
Use the Chain Rule to evaluate the partial derivative ∂g∂θ at the point (r,θ) = (2√2, π 4) where g (x, y)=12x+7y2,x=r sinθ,y = r cos θ.
Answers
Using the Chain Rule to evaluate the partial derivative ∂g∂θ at the point (r,θ) = (2√2, π 4) where g (x, y)=12x+7y2,x=r sinθ,y = r cos θ is -32.
The Chain Rule is a method of taking partial derivatives of functions with respect to multiple variables. It states that the derivative of a function with respect to a variable is the sum of the derivatives of the function with respect to each of its input variables, multiplied by the derivative of each input variable with respect to the original variable.
To evaluate the partial derivative ∂g/∂θ at the point (r,θ) = (2√2, π/4) where g(x, y)=12x+7y^2, x=r sinθ, y = r cos θ, we can use the Chain Rule as follows:
∂g/∂θ = ∂g/∂x * ∂x/∂θ + ∂g/∂y * ∂y/∂θ
= (12)(r cosθ) + (14y)(-r sinθ)
= (12)(2√2 cos(π/4)) + (14(2√2 cos(π/4)))(-2√2 sin(π/4))
= (12)(2) + (14(2)(-2))
= 24 - 56
= -32
Therefore, the partial derivative ∂g/∂θ at the point (r,θ) = (2√2, π/4) is -32.
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find the $1314^{\text{th}}$ digit past the decimal point in the decimal expansion of $\dfrac{5}{14}$.
Answers
The $1314^\text{th}$ digit past the decimal point is 2.
To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.
The long division of $\frac{5}{14}$ is as follows:
```
0.35 <-- Quotient
-----
14 | 5.00
4.2 <-- Subtract: 5 - (14 * 0.3)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
100 <-- Bring down the 0
98 <-- Subtract: 100 - (14 * 7)
-----
20 <-- Bring down the 0
14 <-- Subtract: 20 - (14 * 1)
-----
60 <-- Bring down the 0
56 <-- Subtract: 60 - (14 * 4)
-----
40 <-- Bring down the 0
28 <-- Subtract: 40 - (14 * 2)
-----
120 <-- Bring down the 0
112 <-- Subtract: 120 - (14 * 8)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
...
```
We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.
Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.
So, the $1314^\text{th}$ digit past the decimal point is 2.
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What is the slope of the line that passes
through the points (-4, 4) and (-1, 3)?
Write your answer in simplest form.
Answers
Answer:
the answer is : m= -1/3
Step-by-step explanation:
you need the steps?
1.
Social Security and Medicare taxes are amounts employees can opt in or out of
paying each pay period.
O True
O False
Answers
________________
If the roots of the equation x² +kx+10=0
are alpha and Beta ,and a² +b^2 = 29, find the
possible values of k.
Answers
The possible values of k are 7 and -7.
We have,
To find the possible values of k, we need to consider the relationship between the roots of a quadratic equation and its coefficients.
For a quadratic equation of form ax² + bx + c = 0, the sum of the roots (alpha + beta) is equal to -b/a and the product of the roots (alpha x beta) is equal to c/a.
In the given equation x² + kx + 10 = 0, the sum of the roots is -(k/1) = -k, and the product of the roots is 10/1 = 10.
From the given condition a² + b² = 29, we can relate it to the sum and product of the roots using the following equations:
a² + b² = (alpha + beta)² - 2(alpha x beta)
29 = (-k)² - 2(10)
29 = k² - 20
Rearranging the equation:
k² = 29 + 20
k² = 49
Taking the square root of both sides:
k = ±√49
k = ±7
Therefore,
The possible values of k are 7 and -7.
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How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answers
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
+
9
y
Find
x
when
y
=
6
and
R
=
7
Answers
Answer:
15 2/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = -15.6
which of the following is a condition that must be satisfied to use a chi-square goodness-of-fit test? which of the following is a condition that must be satisfied to use a chi-square goodness-of-fit test? the sample size is greater than 30. the number of categories is less than 10% of the number of observations. the expected count is the same for each category. the population distribution is approximately normal. the expected count for each category is at least 5.
Answers
The condition that must be satisfied to use a chi-square goodness-of-fit test is D. The expected count for each category is at least 5.
A chi-square goodness-of-fit test is a statistical test used to determine whether the observed frequencies of categorical data match the expected frequencies. This test is often used to analyze categorical data, such as determining if the distribution of colors in a bag of candies matches the expected proportions.
The reason behind this condition is that the chi-square test is based on the assumption that the data follow a specific distribution. When the expected count for each category is less than 5, the test might not accurately represent the true distribution, and the results may be misleading. By having an expected count of at least 5 in each category, the test can better approximate the true distribution and provide more reliable results. Therefore, option D is correct.
The Question was Incomplete, Find the full content below :
which of the following is a condition that must be satisfied to use a chi-square goodness-of-fit test?
A. The sample size is greater than 30.
B. The number of categories is less than 10% of the number of observations.
C. The expected count is the same for each category. the population distribution is approximately normal.
D. The expected count for each category is at least 5.
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5) Lee's model airplane flies at 18 miles per hour. Lee took the plane to a field in windy weather. It took six minutes to fly 2.2 miles with the wind. How fast was the wind blowing?
Answers
The wind is blowing at the rate of 4 miles per hour
Speed and distancesThe formula for calculating speed is expressed as:
Speed = Distance/Time
Given the following parameters
Speed of airplane = 18 miles per hour
Speed in wind = 2.2 * 10 = 22 miles/hr
Speed of the wind = 22 - 18
Speed of the wind = 4mi/hr
Hence the wind is blowing at the rate of 4 miles per hour
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Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answers
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
4x^2-11x-3 Change it to factor form
Answers
Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
\((4x+1)(x-3)\)
Step-by-step explanation:
\((4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3\)
Hope this helps
suppose the heights of professional horse jockeys are normally distributed with a mean of 62 in. and a standard deviation of 2 in. which group describes 16% of the population of horse jockeys?
Answers
The groups that describes 16% of the population of horse jockeys are option (c) jockeys who are shorter than 60 in. and (d) jockeys who are between 60 in. and 64 in.
To solve this problem, we need to use the standard normal distribution, where we can find the z-score associated with the given percentages using a z-table or calculator. The z-score tells us how many standard deviations a value is from the mean.
First, we can standardize the values using the formula
z = (x - μ) / σ
where z is the z-score, x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
a) To find the jockeys who are shorter than 58 in., we can standardize the value as
z = (58 - 62) / 2 = -2
Using a z-table, we can find that the percentage of values below z = -2 is approximately 0.0228, which is less than 16%. Therefore, a) is not correct.
b) To find the jockeys who are taller than 64 in., we can standardize the value as
z = (64 - 62) / 2 = 1
Using a z-table, we can find that the percentage of values above z = 1 is approximately 0.1587, which is also less than 16%. Therefore, b) is not correct.
c) To find the jockeys who are shorter than 60 in., we can standardize the value as
z = (60 - 62) / 2 = -1
Using a z-table, we can find that the percentage of values below z = -1 is approximately 0.1587, which is less than 16%. Therefore, c) is correct.
d) To find the jockeys who are between 60 in. and 64 in., we can standardize the values as
z1 = (60 - 62) / 2 = -1
z2 = (64 - 62) / 2 = 1
Using a z-table, we can find the percentage between z1 and z2, which is approximately 0.6826. Therefore, d) is also correct.
Therefore, the correct answers are (c) jockeys who are shorter than 60 in. and (d) jockeys who are between 60 in. and 64 in.
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The given question is incomplete, the complete question is:
Suppose the heights of professional horse jockeys are normally distributed with a mean of 62 in. and a standard deviation of 2 in.
Which group describes 16% of the population of horse jockeys?
Select each correct answer.
a) jockeys who are shorter than 58 in.
b) jockeys who are taller than 64 in.
c) jockeys who are shorter than 60 in.
d) jockeys who are between 60 in. and 64 in.
on a number line what is the distance between -29and 100
Answers
Answer:
The total distance is 129
Step-by-step explanation:
In order to answer this question you will need to find 2 distances and then add them to each other.
Begin at -29. How far will you have to move to the right 29 in order to get to 0?
Now how far will you have to more to get from 0 to 100?
Draw an open number line to help you.
_____________________________________________________
-29 0 100
Your first distance is 29. Your second distance is 100.
The total distance is 129.
8.
In a class there are 11 boys and 19 girls.
The mean weight of all 30 children is 32.85 kg.
The mean weight of the 11 boys is 31.9 kg.
Work out the mean weight of the 19 girls.
Answers
i think the question is not correct write it again or attach the pic ic
The mean of a data set is the sum of all data elements divided by its count.
The mean weight of the 19 girls is 33.4 kg
Let
\(b \to\) boys
\(g \to\) girls
\(n \to\) the total population
So:
\(b = 11\)
\(\bar x_b = 31.9\)
\(g = 19\)
\(n = 30\)
\(\bar x = 32.85\)
The mean of all students is calculated as follows:
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{\bar x_b \times b + \bar x_g \times g}{n}\)
Substitute known values
\(32.85 = \frac{31.9 \times 11 + \bar x_g \times 19}{30}\)
\(32.85 = \frac{350.9 + \bar x_g \times 19}{30}\)
Multiply through by 30
\(30 \times 32.85 = 350.9 + \bar x_g \times 19\)
\(985.5 = 350.9 + \bar x_g \times 19\)
Collect like terms
\(985.5 -350.9 = \bar x_g \times 19\)
\(634.6 = \bar x_g \times 19\)
Divide through by 19
\(33.4 = \bar x_g\)
\(\bar x_g = 33.4\)
Hence, the mean weight of the girls is 33.4 kg
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A dollar store has five checkout lanes. The clerks in each lane have the same abilities, with each clerk being able to checkout a customer in 3 minutes on average. At its busiest times, customers to the dollar store arrive at the checkout counters at the rate of 70 per hour. 3 Click the icon to view the Lg values for the queuing model. a. The average waiting time if all 5 checkout lanes are being used is minutes. (Enter your response rounded to four decimal places.)
Answers
the average waiting time cannot be determined when all five checkout lanes are being used.
To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.
Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).
L = λ * W
Given:
Number of checkout lanes (m) = 5
Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)
Arrival rate (λ) = 70 customers per hour
First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:
Arrival rate per lane = λ / m
= 70 customers per hour / 5 lanes
= 14 customers per hour per lane
Next, we can calculate the average time a customer spends in the system (W) using the formula:
W = 1 / (μ - λ)
where μ is the average service rate and λ is the arrival rate per lane.
W = 1 / (3 - 14)
W = 1 / (-11)
W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)
However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.
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