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.
Find the surface area of the prism below. In square meters
9514 1404 393
Answer:
96 m²
Step-by-step explanation:
The total area of the two triangular bases is ...
A = 2(1/2)bh = bh
A = (3 m)(4 m) = 12 m²
The total area of the rectangular faces is ...
A = Ph = (3 m +4 m +5 m)(7 m) = 84 m²
Then the total surface area of the prism is ...
12 m² +84 m² = 96 m² . . . prism surface area
Write 44/5 as a mixed/whole number.
Write 12/3 as a mixed/whole number.
Write 5/5 as a mixed/whole number.
Write 15/7 as a mixed/whole number.
Write 1/4 as a mixed/whole number.
Answer:
12/3=4
5/5=7
15/7=2+1/7
1/4 is a proper fraction
Only improper fractions can be converted to mixed/whole number
Step-by-step explanation:
What is the order of the following set of numbers from greatest to least? 1 1/3, 2/3, -1/3. 9/5 O 1/3,2/3,9/5, 1 1/3 -1/3.1 1/3, 2/3, 9/5 09/5, 2/3,1 1/3,-1/3 9/5, 1 1/3, 2/3, -1/3
Answer:
11/3, 9/5, 9/5 , 2/3 , 1/3 , -1/3.1 , -1/3
You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to one of two smoking conditions (smoking or not), one of three drinking conditions (no alcohol, 1 drink per day, several drinks per day) and partying conditions (no partying, 1 hour of partying per day, 2 hours of partying per day). This design has
Answer:
3 factors ; 18 total conditions
Step-by-step explanation:
The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.
For each factor variable, each has a number of different conditions ;
For smoking : 2 conditions (smoking and not smoking)
Drinking : 3 conditions (no alcohol, 1 / day ; several per day)
Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)
Total number of conditions :
(2 * 3 * 3) = 18 conditions
what is the ratio of circles to total shapes
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
If ur reading this right now plz help me whenever I ask a question, this random account under different names keeps sending me random links that are suppose to be answers and those links are unopenable so plz help I really just want an answer and it happend 2 timesT_T
The manager of a company runs an online job ad. She gets 1,000 responses. However, 3 4 of the responses are from applicants who are not qualified. The manager will not interview these candidates. She decides to interview 1 5 of the remaining applicants. How many applicants will she interview?
A) 5
B) 50
C) 150
D) 200
Answer:
C
Step-by-step explanation:
3/4 of 1000 is 750 and 1/5 of 750 is 150 so your answer is C
Find an equation of the circle having the given center and radius.
Center (-7, 6), radius 6
Answer:
36 = (x+7)^2 + (y-6)^2
Step-by-step explanation:
6^2=(x-(-7))^2 + (y-6)^2
A concession stand charges $5.75 for 5 muffins. What is the cost per muffin?
A
$1.00
B
$1.15
С
$28.75
D
$10.75
Answer:
B- $1.15
Step-by-step explanation:
5.75 divided by 5 equals 1.15
5x^2y + 6x^2y^3 - 3x^3y^2=0
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Answer:
C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
What is Sine Function?The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
Here, Amplitude = 6, P=π/4, and S=π/2
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A · sin(2π/P(x -S))
f(x) = 6·sin(8(x -π/2))
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
Learn more about Sine Function from:
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A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
Learn more about the percentage visit:
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write the sentence as an inequality. a number b is less than or equal to -4 or greater than 0.
Step-by-step explanation:
[tex]0 \leqslant b \leqslant - 4[/tex]
it should look like that
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
-10/3 rational or irrational number
Answer:
-10/3 is a rational number
Step-by-step explanation:
Rational numbers are the ratios of two integers.
The angles below are complementary. Find the value of X
What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)
25.12 + 56 (Add 25.12 & 56.)
81.12 cm²
The area of the figure is 81.12 cm².
PLEASE HELP ASAP?!!!!!!
Answer:
It is 15!
Step-by-step explanation:
Therefore the answer is x=15 :)
Is the following statement true or false?
A parabola opens up when a is positive.
A True
B False
Answer:
trueeeeeeeeeeeeeeeee3
Answer:
if a is positive the parabola opens up to the right and it's a negative it opens down
How do you write 20% as a decimal?
Answer:
the answer is 0.20 for 20%
Answer:
[tex] \bf \huge0.2[/tex]
Step-by-step explanation:
Given that :How do you write 20% as a decimal?to find :write in decimal form explanation :finding the decimal form of 20%
⟼ decimal form = 20%
⟼ decimal form = 20/100
⟼ decimal form = 2/10
⟼ decimal form = 0•2
∴ the decimal form of 20% is 0•2 .
After completing 60% of the trip, they stopped at a gas station. They had traveled 216 miles. How many miles is the entire trip?
Answer:
Total distance of entire trip in miles = 360 miles
Step-by-step explanation:
Given:
Percent trip completing = 60%
Total distance cover in 60% trip = 216 miles
Find:
Total distance of entire trip in miles
Computation:
Total distance of entire trip in miles = Total distance cover in 60% trip[100%/Percent trip completing]
Total distance of entire trip in miles = 216[100%/60%]
Total distance of entire trip in miles = 21,600/60
Total distance of entire trip in miles = 360 miles
A map has a scale of 1 inch: 3 kilometers. Use the given distance to find the distance on the
map
a) 18 km
b) 76 km
c) 0.5 km
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, - 6) * B * (5, - 6), C(5, - 2) and D(2, - 2) . What the perimeter of rectangle ABCD
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
A) 45
B) 120
C)120
D) 60
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
I'll give points + brainalist please help this is a finals test and I'm on a time limit (:
Using the tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?
Choose
ICECREAM
Choose
TOPPING
nuts
vanilla
sprinkles
nuts
Enter shop
strawberry
sprinkles
nuts
chocolate
sprinkles
Answer:
c
Step-by-step explanation:
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%Please help, test due in 1 hour! I will give brainliest! :)
Answer:
Rectangle + half circle ?
Step-by-step explanation:
Answer:
A rectangular prism and half of a cylinder.
Step-by-step explanation:
The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.
