Answer:
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.
This means that [tex]\mu = 97, \sigma = 11[/tex]
What proportion of the player's serves are expected to be between 119 mph and 130 mph?
This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 97}{11}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 119
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{119 - 97}{11}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9987 - 0.9772 = 0.0215
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
4/5y - 8 = 2/5y + 16
Answer:
y=60
Step-by-step explanation:
trust
y = 60
Step-by-step explanation:
Step 1: Group all the x terms on the left side of the equation
Subtract y from both sides:
4/5y - 8 = 2/5y + 16
4/5y - 8 - 2/5y = 2/5y + 16 - 2/5y
2/5y - 8 = 2/5y + 16 - 2/5y
2/5y - 8 = 16
Step 2: Group all constants on the right side of the equation
Add 8 to both sides of the equation:
2/5y - 8 = 16
2/5y - 8 + 8 = 16 + 8
2/5y = 16 + 8
2/5y = 24
Step 3: Isolate the x
Multiply both sides by inverse fraction 52
2/5y = 24 5/2
2/5y 5/2 = 24
y = 24 5/2
y = 60
A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.
Their regional responsibilities are shown in the table.
Vice President Regional Responsibility
Andrew East
Beth East
Charles East
Diane West
Eric West
The president of the company wants to randomly select 2 of the 5 vice presidents to send to a conference. How many distinct groups of 2 vice presidents can be selected without replacement from this small population of 5 vice presidents?
2
4
5
10
Use the combination formula.
5 C2 = 5!/5!3! = 10
The answer is 10
Answer:
10
Step-by-step explanation:
pls tell the answer pls
Answer:
The correct answer is C
Step-by-step explanation:
F(x)=x^2. what is g(x)? point given is (4,1)
a. g(x)=(1/4x)^2
b. g(x)=4x^2
c. g(x)=1/4x^2
d. g(x)=(1/2x)^2
Answer:
It is (a)
[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
None of the given options are correct.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.
We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.
One possible equation for g(x) that meets this condition is:
g(x) = a(x - 4)² + 1
where a is some constant that we need to determine.
Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:
g(4) = a(4 - 4)² + 1 = 1
Simplifying this equation, we get:
a = 0
Therefore, the equation for g(x) is:
g(x) = 1
So the correct answer is (none of the above), because none of the given choices matches this result.
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What is the least common multiple of 2, 6, and 15?
Answer:
30
Step-by-step explanation:
Prime factorization of the numbers:
2 = 2 × 1
6 = 2 × 3
15 = 3 × 5
LCM(2, 6, 15)
= 2 × 3 × 5
= 30
Which is the best type of graph to show the kilograms of food consumed and kilograms of food wasted in the
school cafeteria each day?
A. stem and leaf plot
B. line graph
C. dot plot
D. double bar graph
Answer:
Double Bar Graph
Step-by-step explanation:
Please no links I’ll pick brainliest
Which one is incorrect
Answer:
the graph because it should go down every 10 minutes not up.
Step-by-step explanation:
In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
The equation of a right triangle is given by a2 + b2 = c2, where either a or b is the height and base of the triangle and c is the hypotenuse. Using the Pythagorean Theorem, finding the missing side of a triangle is pretty simple and easy. The two special right triangles include: 45°; 45°; 90° Triangle.
a correct answer that guy ☝ is rude can i get brainliest for answering
Let g(x)=4x +9 and h(x)=x+2. Find the expression.
(h◦g)(x)
Please help Mhanifa quickly!
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Answer:
Given:
-4x - 2y = -2 x - 2y = 9Subtracting:
-4x - 2y - (x - 2y) = -2 - 9-4x - 2y - x + 2y = - 11-5x = -115x = 11x = 11/5x = 2.2You can now find y:
2.2 - 2y = 92y = 2.2 - 92y = - 6.8y = -6.8/2y = -3.4Solution (2.2, -3.4)
a. Write the following expression in standard form by expanding and collecting like terms.
3(4a + 6) + 2(a – 10)
Answer:
14a -2
Step-by-step explanation:
3(4a + 6) + 2(a – 10)
Distribute
12a+18 +2a -20
Combine like terms
12a+2a +18 -20
14a -2
Answer:
14a-2
Step-by-step explanation:
12a+18+2a-20
Write the quadratic equation in standard form 3x+x^2=11-3x^2
What is 0+0 plz help me o am in college and need help
The answer is 0
0+0=0
Please help This Is A Speed, Time and Distance Worksheet!
Please SHOW your WORK!
A camera company packs each camera in a cubeshaped box with side lengths of 1/2 ft. Then the company ships the cameras in a container with dimensions of 5 1/2 ft by 7 1/2 ft by 4 1/2 ft. What is the maximum number of camera boxes that will fit in the container?
The maximum number of camera boxes that can fit in the container is 1485.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of each camera box is given by the cube of the side length, which is (1/2)³ = 1/8 cubic feet.
The volume of the container is given by multiplying its length, width, and height, which gives:
= 5 1/2 ft x 7 1/2 ft x 4 1/2 ft
= 5.5 ft x 7.5 ft x 4.5 ft
= 185.625 cubic feet
To find the maximum number of camera boxes that can fit in the container, we need to divide the volume of the container by the volume of each camera box:
185.625 cubic feet / (1/8 cubic feet per camera box) = 1485 camera boxes
Therefore, the maximum number of camera boxes that can fit in the container is 1485.
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Solve 7+X - 15 = -2 2/3
5 1/3
10 2/3
20 2/3
6 1/3
Answer:
solve 7+x-15=-2 2/3
Step-by-step explanation:
7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
a stick is 25 feet long and is cut into 2 parts. The longer part id one foot more than twice the shorter part. How long is each part?
Answer:
8 feet and 17 feet
Step-by-step explanation:
We can make out two equations.
Assume L stands for big length and W stands for small length.
The two equations are:
2w+1=L
L+W=25
We figure L=17 and W=8 which is the answer.
By the way, can you follow me on Brainly?
Thanks!
What does c equal in the picture?
Answer:8
Step-by-step explanation:
help out brainliest.
I can't read the question.
-5x = 35 what is x?
Answer:
x= -7
Step-by-step explanation:
Answer: x=−7
Step-by-step explanation: Hope this help :D
31/50-13/25 im simplest form
Answer:
0.62 is simple already as a fraction!!
0.52 also simple as fraction
Step-by-step explanation:
Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results in
the following list.
63, 60,67, 62,58, 63, 68,
59, 62, 65,56, 63 59, 62,
58
13. Determine the 5-number summary and make a box-and-whisker plot for the data set.
14. Between what heights are the middle 50% of the girls in Mrs. Hagan's PE class?
Answer:
Step-by-step explanation:
5 number summery
Minimum: 56
Maximum: 68
Median: 62
First quartile: 59
Third quartile: 63
Do the functions have the same concavity? f(x)=-x^2+40x+120f(x)=−x 2 +40x+120
Answer:
1. f(x)=-x^2+40x+120. Answer: it would be the same answer
2. f(x)=−x 2 +40x+120. Answer: look at the both picture
Step-by-step explanation: Hope this help :D
Both functions have the same concavity—they are both concave downward.
How to explain the functionLet's start with the first function, f(x) = -x² + 40x + 120.
First Derivative:
f'(x) = -2x + 40
Second Derivative:
f''(x) = -2
Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.
Now let's move on to the second function, f(x) = -x² + 40x + 120.
First Derivative:
f'(x) = -2x + 40
Second Derivative:
f''(x) = -2
Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.
In conclusion, both functions have the same concavity—they are both concave downward.
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What is the area of the
composite figure below?
A. 29cm squared
B. 163cmc squared
C.388cm squared
D. 720cm squared
Answer:
D. 720cm squared is the answer
a landscape architect is designing a pool that has this top view
Answer:
what view?
and whats the question?
Step-by-step explanation:
Please help me pls ASAP thank YOUU
Answer:
I think D
Step-by-step explanation:
Sorry if it's wrong, but it's the only one I think makes sense. Brainlist me if u get it right! :)
Alexis has $115 and he is earning $50 per week at his summer job. Eduardo has $130 and is earning $40 per week at his summer job. Which system of equations could be used to determine how many weeks they must work to earn the same amount?
Answer:
Step-by-step explanation:
Alexis earned to equal Eduardo earned in how many weeks
Alexis earned 115 + 50w = Total w equals weeks
Eduardo earned 130 + 40w = Total w equals weeks
subtract equations -15 + 10w = 0
10w = 15
w = 1.5 weeks they both will have $190
Answer:
addition or multiplication
Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2
Answer:
That is true
Step-by-step explanation:
You got it right