What is the distance points between the points 5,9 and 5,13?
Answer:
4 square units
Step-by-step explanation:
Find the value of: 0.0279 divided by 0.00009
Answer:
310
Answer:
0.00000002
Step-by-step explanation:
The entrance fee at the zoo is $15.00 and rides at the animal themed carnival are $3.00 per ride.
What is the most number of rides you can go on if you only have $30.00? Show all work and label
your answer.
Answer:
-0.2
Step-by-step explanation:
You have to subtract 15 from 30 the your answer is -15 so then just divide 3 by-15 and you will get -0.2 so your answer is -0.2 because you cannot make it into a whole number.
hope this helps <3 !!!
Q.A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal sides. How many cubes have no faced colours?
A:24
B:16
C:8
D:4
Answer:
I think c but I'm not for sure
Why is π = 3.14... instead of 6.28...?
Answer:
π = 22/7
²²/7= 3.14
Step-by-step explanation:
22/7= 3.14
. Jumbo bought 5 books, each with a whole-number price.
The mean price of the books was $10. The median price was $8.
The most expensive book cost $15 and the cheapest cost $6.
What are the possible prices for the other books?
Mean is average. Multiply total books by the mean to find the total cost:
5x 10 = $50 total.
Subtract the highest and lowest prices to find the total of the remaining 3 books.
50 - 15-6 = 29
The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:
29-8 =21
Now you need a price lower than the median but higher than the lowest cost so that has to be 7
Subtract 7 from 21 to get the cost of the last book 21-7 = 14
The price of the remaining books is $7 and $14
Question Progress
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b)
The table shows information about the numbers of hours 30 children
spent on their tablets one evening.
Number of hours (h) Frequency
0 << 1
6
1
13
2
7
3
4
a) Find the class interval that contains the median.
b) Work out an estimate for the mean number of hours.
Answer=
a= 2<h<3
b=2.2
a) The class interval that contains the median. is 1 ≤ h ≤ 2.
b) The mean number of hours is, 1.8 h
What is mean and median?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. And, The median is the middle value in a list ordered from smallest to largest.
Now,
a) First find the median as,
Median = 30/2
= 15
Now, 6 + 13 = 19 > 19
So, The class interval that contains the median be 1 ≤ h ≤ 2.
b) Let us take the middle of the range as the average;
⇒ (6 × (1 - 0)/2 + 13 × (2 + 1)/2 + 7 ×(2 + 3)/2 + 4 × (3 + 4)/2 ) / 30
⇒ (3 + 19.5 + 17.5 + 14) / 30
⇒ 54/30
⇒ 1.8 hours
So, The value of mean is 1.8.
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a normal distribution has a mean of 144 and a standard deviation of 7. find the z-score for a data value of 127.
A normal distribution with a mean of 144 and a standard deviation of 7 has a z-score of -2.4286 for a data value of 127.
What is z-score?The standard score in statistics is the amount of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean. The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a particular data collection.
Here,
z=(x−μ)/σ
x=127
μ=144
σ=7
z=(127-144)/7
z=-2.4286
The z-score for a data value of 127 and a normal distribution has a mean of 144 and a standard deviation of 7 is -2.4286.
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Expresa en forma algebraica. ⦁ El cuadrado de un número aumentado en 1. ⦁ Cinco veces un número menos 8. ⦁ El número siguiente a un múltiplo de 5. ⦁ Un número impar.
Answer:
1) N^2 + 1
2) 5*N - 9
3) n*5 + 1 (con n entero)
4) n*2 + 1 (con n entero)
Step-by-step explanation:
1) El cuadrado de un número aumentado en 1.
Podemos definir a N como el número.
El cuadrado de N es:
N^2
Y a esto lo tenemos que aumentar en 1, entonces tenemos:
N^2 + 1
Esto es el cuadrado de un número aumentado en 1.
2) Cinco veces un número menos 8.
Esto es:
5*N (5 veces un número)
Y a esto le restamos 8, para obtener:
5*N - 8
3) El número siguiente a un múltiplo de 5
Un multiplo de 5 se escribe como:
n*5
Donde n es un número entero.
El numero siguiente es:
n*5 + 1
4) Un número impar.
Bien, sabemos que un número par es un multiplo de 2.
Entonces:
n*2 es un número par.
Entonces, n*2 + 1 tiene que ser un numero impar.
En este caso la expresión algebraica es:
n*2 + 1
Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your work, and solve for the number of chickens Farmer Brown has.
Answer:
The system of equations is:
x + y = 42
4x + 2y = 120
And there are 24 chickens.
Step-by-step explanation:
We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.
We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.
To solve the system of equations, first solve each equation for y.
In the first equation:
x + y = 42
Subtract x from both sides to isolate y.
y = 42 - x
Second equation:
4x + 2y = 120
Subtract 4x from both sides
2y = 120 - 4x
Divide both sides by 2
y = 60 - 2x
Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:
y = 42 - x
y = 60 - 2x
42 - x = 60 - 2x
Add 2x to both sides
42 + x = 60
Subtract 42 from both sides
x = 18
Since x is the number of cows, we know that Farmer Brown has 18 cows.
Now we can substitute the x value into one of the equations:
y = 42 - x
y = 42 - (18)
y = 24
The number of chickens is represented by y, so there are 24 chickens.
I need help to Solve for v:
Answer:
v=15
Step-by-step explanation:
Please do the foll calculation. When improper, rewrite number or integel 2.2+(3)/(5)
The final answer is 3
The calculation you are looking to solve is 2.2 + (3)/(5). To solve this, we first need to convert the improper number 2.2 to a fraction. We can do this by multiplying the whole number by the denominator of the fraction and then adding the numerator. In this case, we would multiply 2 by 5 and then add 2, giving us 12/5. Now, we can add this fraction to the other fraction:
12/5 + 3/5 = 15/5
Next, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor. In this case, the greatest common factor is 5, so we can divide both the numerator and denominator by 5:
15/5 = 3
Therefore, the final answer is 3.
In summary, 2.2 + (3)/(5) = 3.
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The current, i (in amperes) at time t in a particular circuit is given by i(t) = 12 sin t + 5 cost. (a) Express i(t) = 12 sint + 5 cost in the form R sin(t + a), where t is positive and a is an angle in radian. 2) Hence, find the maximum current.i(t) and the first time that it occurs.
The current in the circuit can be expressed as i(t) = R sin(t + a), where R is the amplitude of the current and a is the phase angle in radians. To find the maximum current and the first time it occurs, we need to determine R and a.
In the given expression, i(t) = 12 sin(t) + 5 cos(t), we can rewrite it in the desired form by using trigonometric identities. We can rewrite cos(t) as sin(t + π/2) and simplify the equation as follows:
i(t) = 12 sin(t) + 5 cos(t)
= 12 sin(t) + 5 sin(t + π/2)
= (12 sin(t) + 5 sin(t) cos(π/2)) + (5 cos(t) sin(π/2))
= 17 sin(t) + 5 cos(t)
Comparing this with the desired form, we have:
R = √(17² + 5²) = √(289 + 25) = √314 ≈ 17.72
tan(a) = 5/17
a ≈ arctan(5/17) ≈ 0.2867 radians ≈ 16.44 degrees
Therefore, the current can be expressed as i(t) = 17.72 sin(t + 0.2867). The maximum current is equal to the amplitude, which is 17.72 amperes. The first time this maximum current occurs can be found by setting the argument of the sine function to 0:
t + 0.2867 = 0
t = -0.2867
Since t is positive, the first time the maximum current occurs is approximately 0.2867 radians or about 16.44 degrees.
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Help asap for my sister
Answer:
A: 8.4
Step-by-step explanation:
Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.
Using this you need to do 2(1.2) first.
2(1.2)=2.4
Then 4.5-2.4=2.1
Then finally 4(2.1)=8.4
Hope that helps
please give brainliest
Answer:
pretty sure it's 8.4 don't come at me if it's not
Step-by-step explanation:
-2(2.1) = -2.4
4(4.5-2.4) = 4(2.1)
4(2.1) = 8.4
an official from the ohio department of education claims that, in recent years, 3% of ohio high school seniors drop out. last year, podunk high school had 30 dropouts from their total enrollment of 600 students. is there sufficient evidence to conclude that the dropout rate at this school is different from the state level?
The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
Given that,
According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.
We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.
We know that,
n is 600,
3% Ohio high school seniors dropout.
30 dropout out of 600 in Podunk high school.
Here,
H₀: μ₁=μ₂ vs H₁:μ₁≠μ₂
In coordinates,
H₀⇒ dropout number is equal for both schools.
H₁⇒ dropout number not equal for both schools.
H₀: P=0.03, H₁: P≠0.03.
Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
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Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the final cost of the centerpieces? $120.00 $240.00 $360.00 $480.00
Answer:
360
Step-by-step explanation:
If you multiply 20 by 6 you get 120
then if you multiply 1.50 by 8 you get 12
then multiply 12 by 20 which equals 240
add 240 by 120 you get your final answer 360
A quadratic function is given. y=x2+12x+37 (a) Express the quadratic in standard form. (b) Find any axis intercepts. (x,y)=() (c) Find the minimum y-value of the function. Use the quadratic formula to find any x-intercepts of the parabola. (If an answer does not exist, enter DNE.) y=35x2−12x+1 (x,y)=((x,y)=()( smaller x-value )) (larger x-value) Find a function whose graph is a parabola with vertex (2,5) and that passes through the point (−1,3). y(x)= Use the quadratic formula to find any x-intercepts of the parabola. (If an answer does not exist, enter DNE.) y=4x2−20x+5 (x,y)=() (smaller x-value) (x,y)=()(largerx-value )
a) quadratic function in standard form is: y = x^2 + 12x + 37. b) no real x-intercepts, so (x, y) = DNE. c) x-intercepts are (1/5, 0) and (1/7, 0).
(a) To express the quadratic function y = x^2 + 12x + 37 in standard form, we rearrange the terms:
y = x^2 + 12x + 37
Standard form: y = ax^2 + bx + c
Comparing the given function with the standard form, we have:
a = 1, b = 12, c = 37
Therefore, the quadratic function in standard form is: y = x^2 + 12x + 37.
(b) To find the x-intercepts, we set y = 0 and solve for x:
x^2 + 12x + 37 = 0
However, this quadratic equation does not have any real solutions because the discriminant (b^2 - 4ac) is negative:
Discriminant = (12)^2 - 4(1)(37) = 144 - 148 = -4
Since the discriminant is negative, there are no real x-intercepts, so (x, y) = DNE.
(c) To find the minimum y-value of the function, we can use the vertex formula. For a quadratic function in the form y = ax^2 + bx + c, the x-coordinate of the vertex is given by x = -b / (2a). Plugging in the values from the given function:
a = 1, b = 12
x = -12 / (2*1) = -12 / 2 = -6
To find the corresponding y-coordinate, substitute x = -6 back into the original function:
y = (-6)^2 + 12(-6) + 37
y = 36 - 72 + 37
y = 1
Therefore, the minimum y-value of the function is y = 1.
For the quadratic function y = 35x^2 - 12x + 1:
To find the x-intercepts, we set y = 0 and solve for x using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 35, b = -12, c = 1
x = (-(-12) ± √((-12)^2 - 4(35)(1))) / (2(35))
x = (12 ± √(144 - 140)) / 70
x = (12 ± √4) / 70
x = (12 ± 2) / 70
x = (12 + 2) / 70 = 14 / 70 = 1/5
x = (12 - 2) / 70 = 10 / 70 = 1/7
Therefore, the x-intercepts are (1/5, 0) and (1/7, 0).
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If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?
Answer:
6.2
Step-by-step explanation: TOOK THE TEST
Find the value of 10 to the 4th power.
Answer: 10,000
Step-by-step explanation: 10x10x10x10=10,000.
Answer:
10000
Step-by-step explanation:
Nobody could get this correct last time i asked so please someone give the correct answer
For a normal distribution, the skewness and kurtosis measures are as follows: O A. 1 and 2 B. 0 and 3. OC. O and 0. OD. 1.96 and 4.
For a normal distribution, the skewness and kurtosis measures are as follows: Option B. 0 and 3.
Skewness is a measure of the asymmetry of a probability distribution. Skewness is a measure of the degree of asymmetry in the probability distribution of a random variable around its mean.
When the skewness is 0, the normal distribution is symmetrical.
Kurtosis is a measure of the degree of peakiness, or flatness, of a probability distribution.
For a normal distribution, kurtosis equals 3. In comparison to the normal distribution, distributions with kurtosis greater than 3 have a more pointed peak and longer tails, while distributions with kurtosis less than 3 have a less pointed peak and shorter tails.
Therefore, for a normal distribution, the skewness and kurtosis measures are 0 and 3, respectively. Hence, the correct option is B. 0 and 3.
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For f(x) = 2x + 1 and g(x) = 2
7, find (f- g)(x)
The value of (f- g)(x) is 2x - 26.
This is a question of subtraction of functions.
Subtraction of functions
The subtraction of function involves the creation of a new function through the addition of two other functions.
Subtraction of one real-valued function from another.
Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.
Given that:-
f(x) = 2x + 1
g(x) = 27
We have to find the value of (f- g)(x)
We know that,
(f- g)(x) = f(x) - g(x)
Hence, we can write,
(f- g)(x) = 2x + 1 - 27 = 2x - 26
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The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA
Please can somebody help me do this further maths gcse question in ‘transformations of graphs and functions’
Answer:
y=f(x)-6 is a vertical translation down by 6 units so draw the same graph but 6 units down with the point at which it crosses the y-axis as (0,-4)
What is the distance between these two points: (2, 3) and (- 5, 4)
Let's apply the distance formula:⇒d=√(x2−x1)²+(y2−y1)²⇒d=√(5−2+(−4−(−3))² ⇒d=√3²+(−7)²⇒d=√9+49 ⇒d=√58 Therefore, the distance between the two points (2,−3) and (5,−4) is √58 units.
The table shows the number of tennis balls that fit into a given number of cans
Answer:
wheres the table?
i cant see the table
The scale on a different map is 1 inch represents 6 miles.
A road on the map measures 2.5 inches.
How long is the road in real-life?
Write an equation of the line perpendicular
2/3x +1 passing through the point (-6, 4).
Answer:
y−4=3(x−1)or y=3x+1
Are these triangles similar? explain why did you pick yes or no.
The Mona Lisa is a painting of Lisa del Giocondo. In one sketch, Leonardo used a scale factor from the sketch to real life of about
1:5. If her face was 8 inches long, how long was it in the sketch?
Applying the scale factor of 1:5, Lisa del Giocondo's face was 1.6 inches long in the sketch.
How to Apply Scale Factor?If the scale factor from the sketch to real life is 1:5, then it means that every inch in the sketch represents 5 inches in real life.
Therefore, to find out how long Lisa del Giocondo's face was in the sketch, we need to multiply the real-life length of her face by the inverse of the scale factor, which is 1/5.
If her face was 8 inches long in real life, then her face in the sketch would be:
8 inches * (1/5) = 1.6 inches
Therefore, based on the scale factor given, Lisa del Giocondo's face was 1.6 inches long in the sketch.
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