Neil has 181 songs on a playlist. He's categorized them in the following manner: 31 gospel, 20 blues, 36 classical, 24 rap, 16 rock. 9 pop, and 45 jazz.
Answer:
Probability of being classical: 36/181
Step-by-step explanation:
So to find the probability of it being first played classical, we divide the total from the amount of classical:
P(classical):
36/181
How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Suppose the alternative you wanted to test was . State the correct rejection region for = 0.05. (hint it is lower tail test)
At tα/2= -1.66, we reject H0.
What is the Null hypothesis?
The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Data provided
sample size is 100, and
sample mean, 52.0 for x
The standard deviation of the sample, s= 22.0
Average population, = 60.0
Level of significance, = 0.05
Theorem testing
The alternate and the null hypothesis is
H0: u = 60
Ha: u < 60
Crucial component:
value crucial at 0.05
tα/2= -1.66
Region of rejection:
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1/3(a+b+c)=z
solve a
Greetings from Brasil...
isolating a:
(a + b + c)/3 = z
(a + b + c) = 3z
a = 3z - b - cCan someone help me with this question
Answer:
Yes.
Step-by-step explanation:
i Cannot see the number but. MOST likely yes
Step-by-step explanation:
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
Question 3 (1 point)
Julie drives by a stop light near her home once every morning. The stop light has red,
yellow and green lights. She wants to know the probability of the light being red on
two mornings.
Which list represents the sample space for two mornings at the stop light?
O {red, yellow, green}
O {red/red,red/yellow,red/green}
O {red/yellow, red/green, yellow/green, yellow/red,green/yellow, green/red}
{red/red,red/yellow,red/green,yellow/red,yellow/yellow,yellow/green,green/red,green/yellow,green/green}
The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.
How to find the sample space ?In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.
The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}
This includes all the possible lights that could be seen on the two mornings by Julie.
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In the figure below, what is m∠1 if m∠7 = 60°?. Single choice.
(10 Points)
60°
90°
120°
150°
( help please and the work too)
Answer:
60 degrees
Step-by-step explanation:
60 degrees. Reason: Corresponding angles are congruent
Write and exponential and a linear equation using the following points:
(0,9) and (1,10.8)
I had a delta math and it asked me this question
Linear equation: y=1.8x+9
Exponential equation y=9(1.2)^x
The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
The corner store sells apples at a rate of 1.25 dollars per apple.
a. What is the ratio of the amount in dollars to the number of apples?Jxjnshjsjms
(a) 1.25 dollars per apple
(b) Akia can buy 8 apples
(c) Christian can buy 4 apples
The corner store apples at a rate of $1.25 per apple.
Let c be the total cost of apples, n be the number of apples, and r be the ratio of the amount in dollars to the number of apples.
The formula rate is given as:
r = C/n
(a) So, the ratio of the amount in dollars to the number of apples will be:
r = c/n
r = $1.25 / 1 = 1.25 dollars/ apple
(b) Now, the number of apples that Akia can buy is:
r = c / n
n = c / r
n = [ $10 / ( 1.25 dollars/apple) ]
n = 8
(c) The number of apples that Christian can buy is:
n = c / r
n = 6 / 1.25
n = 4.8
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The complete question is mentioned below:
The corner store sells apples at a rate of 1.25 dollars per apple.
a. What is the ratio of the amount in dollars to the number of apples?
b. Akia is only able to spend $10 on apples. How many apples can she buy?
c. Christian has $6 in his wallet and wants to spend it on apples. How many apples can Christian buy?
whay is the slope of a perpendicular to the line whose equation is 3x+y=-6
Answer:
1/3
Step-by-step explanation:
3x + y = -6
y = -3x - 6
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -3 is 1/3
\( \large{ \boxed{ \tt{Answer : - 3}}}\)
Please see the attached picture for full solution!
-------- HappY LearninG <3 --------
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.2 feet. A sample of 53 men’s step lengths is taken.
Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Answer:
P[ X < 2,4 ] = 0,1587 or 15,87 %
Step-by-step explanation:
Normal Distribution N ( 2,6 , 0,2 )
mean = μ₀ = 2,6 ft and
standard dviation is
σ = 0,2 ft
Samle size 53 n = 53
2,4 - 2,6 = 0,2
That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation. The empircal rule establishes that the interval [ μ₀ ± σ] contans 68,3 % of all values, by symmetry
μ₀ - σ = 68,3/2
μ₀ - σ = 34,15
Then the half of the bell shape curve is 0,5 and from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between
0,5 - 0,3415 = 0,1585 or 15,85% is the probability
Other procedure is:
P[ X < 2,4 ] = [X - μ₀ ] / σ
P[ X < 2,4 ] = 2,4 - 2,6 / 0,2
P[ X < 2,4 ] = - 0,2/0,2
P[ X < 2,4 ] = - 1
And fom z - table we find for z (score) = - 1
P[ X < 2,4 ] = 0,1587
Answer:
0.0668
Step-by-step explanation:
z=x−μσ=2.3−2.60.2=−1.50
Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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The formula for the area of a rhombus is A = ∙ d1 ∙ d2, where A = area, d1 = diagonal 1, and d2 = diagonal 2. For a rhombus with an area of 36 square meters, the product of its diagonals is ? .
a. 18
b. 72
Answer:
Step-by-step explanation:
Seeley takes home $4800 per month. What is the maximum amount he can
spend each month on loan and credit card payments without being in danger
of credit overload?
OA. $1600
OB. $1200
OC. $960
OD. $480
Answer:
1200
Step-by-step explanation:
I'm not 100% sure but that seems like the most reasonable answer
Show that (x+4) is a factor of x^3+5x^2-2x-24. Then find the remaining factors of the polynomial.
Given the polynomial:
\(x^3+5x^2-2x-24\)We need to prove that (x+4) is a factor of the polynomial. Then, using the long division for polynomials:
Then, we showed that (x+4) is a factor of the polynomial, and the other factor is:
\(x^2+x-6=(x+3)(x-2)\)Finally, the factored form of the polynomial is:
\(x^3+5x^2-2x-24=(x+4)(x+3)(x-2)\)Which number line plots the integers –12, –3, and 7? A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 8, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and negative 3. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and 3. (ANSWER ASAP PLS)
A number line that plots the integers –12, –3, and 7 will be A. A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7.
What is a number line?It should be noted that a number line simply means the straight line that can be used to show the addition and subtraction of numbers.
It should be noted that the negative numbers are on the left hand side and the positive numbers are on the right hand side.
Therefore, this is conveyed effectively by option A.
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Use interval notation to express the following: The set of all numbers less than or equal to −5.
Answer:
(- infinitysymbol,-5]
see image.
Step-by-step explanation:
Interval notation uses parenthesis or square brackets in the format:
( or [ begin , end )or]
Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"
see image.
Find the product.
[675]
a.
b.
6
7
15
TYT
-1
TYT
6 7 5
-4 -4 -1
-24
-28
d. [-57]
Answer:
-57
Step-by-step explanation:
matrix multiplication
Solve the inequality.
Question 1
3y≤−9
The solution is
The solution of the given inequality is y ≤ -3.
The given inequality is -
3y ≤ −9
We have to solve this given inequality.
Now, we have the inequality as -
3y ≤ −9
=> y ≤ -3
Thus, the solution of the given inequality is y ≤ -3.
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Find the next three terms of the following arithmetic Sequence 3.1,4.1,5.1,6.1
Answer:
7.1, 8.1, 9.1
Answer:
7.1
,
8.1
,
9.1
Step-by-step explanation:
The terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so on
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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what's the relationship between 2 and 2.50
Answer: .50
Step-by-step explanation:
Answer:
.50
Step-by-step explanation:
QUICK 20 POINTS !!
Use the equation machine to solve this equation.
x = __
Answer:
x=2 (-7 , then -5 for the drag part)
Answer:
2
Step-by-step explanation:
Which number has the prime factorization of 2x2x2x7
Answer:56
Step-by-step explanation:
the answer is 56 because when u multiple all of them together the answer is 56
2x2=4
2x7=14
14x4=56
i hope this helps
What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1
Answer:
The answer is -0.828
Step-by-step explanation:
I took the quiz and i gt this question correct, hope it helps!
The r-value of the given data is 0.374.
What is a correlation coefficient?The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.
It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.
We have,
First, we need to find the correlation coefficient (r) of the given data.
We can use the following formula to do this:
r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]
where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.
Using the given data, we can calculate the values as follows:
n = 5
∑x = 39
∑y = 53
∑(xy) = 442
∑x^2 = 483
∑y^2 = 1249
Substituting these values into the formula, we get:
r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]
r = [2210 - 2067] / [√(2415) √(5660)]
r = 143 / (61.898 75.245)
r = 0.374 (rounded to three decimal places)
Therefore,
The r-value of the given data is 0.374.
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Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as significant if its probability is less than or equal to 0.05. Select one: a. Significant at .055 b. Not significant at .945 c. Not significant at .055 d. Significant at .028
Answer:
c. Not significant at .055
Step-by-step explanation:
When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:
When the first dice is 5 and the second is 6.When the first dice is 6 and the second is 5.Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.
Then, the probability of getting 11 is:
\(P=\dfrac{X}{N}=\dfrac{2}{36}=0.055\)
This probability is not equal or less than 0.05, so it is not significant at 0.055.
What is the GIM of a strip mall with annual income of $547,500 and a value of $6,345,000?
Answer:
11.6Step-by-step explanation:
GIM means Gross Income Multiplier and it is a method used for valuating a property or an investment. It is expressed mathematically as the ratio of the property's value/sales price and its gross annual income.
GIM = Value of an investment/Gross annual income.
Given the annual income = $547,500 and Value = $6,345,000;
GIM = $6,345,000/$547,500
GIM = 11.589
GIM ≈ 11.6
Hence, the Gross Income Multiplier of the strip mall is approximately 11.6.
GIM has no units.