Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the right amount of bounce when it is taken out of the packaging. They want their product to be ready for use upon opening. The air pressure of a particular ball has a target value of 7.9 PSI. Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI. When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI. Perform this hypothesis test at the 5% significance level using the critical value approach.
Answer:
0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.
Step-by-step explanation:
The air pressure of a particular ball has a target value of 7.9 PSI.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 7.9[/tex]
The alternate hypothesis is:
[tex]H_{a}: \mu \neq 7.9[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
The hypothesis tested means that [tex]\mu = 7.9[/tex]
Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.
This means that [tex]\sigma = 0.2[/tex]
When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.
This means that [tex]X = 7.3, n = 21[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]
[tex]z = -13.74[/tex]
pvalue:
We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.
[tex]z = -13.74[/tex] has a pvalue of 0.
2*0 = 0
0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.
You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm what is the total volume of all the ice cubes
Answer: 6
Step-by-step explanation:
What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
The table below shows the different sizes of 15 pepperoni pizzas sold at a restaurant so far today.
Based on this table what is the probibilty that the next peperonni pizza prize sold will be 8 or more pieces
Answer:
2/3
Step-by-step explanation:
What is 7.32 written as a fraction in lowest terms?
Answer:
183/25 is an equivalent fraction form for decimal 7.32
Step-by-step explanation:
Answer:
7 8/25
Step-by-step explanation: 183/25 = 7 8/25 = 7.32
Greg owns a clothing store where he designs T-shirts, t, and pairs of shorts, s. He sells the T-shirts for $7 each and the shorts for $14. Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an
The inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 represent the scenario provided option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Greg sells the T-shirts for $7 each and the shorts for $14.
Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts
Let s is the number of shorts
Let t is the number of t-shirts
We can formulate the inequality based on the data provided:
s ≥ 12 - t
s ≤ 22 - t
0.25t + s ≤ 15
s ≥ 0; t ≥ 0
Thus, the inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 representing the scenario provided option (A) is correct.
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Can anyone help me on this please
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points)
Group of answer choices
8 more than half the difference of 2 and 1, and then subtract 6
Add 8 to half the difference of 6 and 2, then subtract 1
The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1
1 less than half of 6 plus the sum of 8 and 2
Answer:
B
Step-by-step explanation:
Add 8 to half the difference of 6 and 2, then subtract 1. Therefore, the option B is the correct answer.
What is PEDMAS rule?PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
The given expression is 8+ 1/2×(6-2)-1
= 8+1/2×4-1
= 8+2-1
= 10-1
= 9
Therefore, the option B is the correct answer.
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Solve the exponential equation.
9x = 27
2/3
3
3/2
Answer:
3
Step-by-step explanation:
I did the math
Answer:
3
Step-by-step explanation:
Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix for $2.50 each and y bottles of water for $1.25 each. If Lupe and her friends bought a total of 11 items, how many bags of snack mix and bottles of water did they buy?
bags of snack mix: ?
bottles of water: ?
Answer:
7.5 bags of snack mix, 3.5 bottles of water.
Step-by-step explanation:
This can be found by looking at a system of equations. Setting up our system, we know that they bought 11 items, and that there was a total of $20. Our system would be this:
[tex]x+y=11\\2.5x+1.25y=20[/tex]
We can then solve for a variable in any equation. Let's solve for x in the second equation.
[tex]2.5x+1.25y=20\\2.5x=20-1.25y\\x=8-0.5\\x=7.5[/tex]
Now, we substitute into the other equation.
[tex]x+y=11\\7.5+y=11\\y=11-7.5\\y=3.5[/tex]
We now know both amounts; they bought 7.5 bags of snack mix and 3.5 bottles of water.
QUICK PLS.
The sum of the measures of angle P and angle S is 140°.
• The measure in degrees of angle P is represented by the expression (5x + 30)°.
• The measure of angle S is 80°.
What is the value of x?
A. 38
B. 6
C. 10
D. 22
My teacher never reviews things correctly
Answer:
The anwser i think it's D
Step-by-step explanation:
If the circumference of a circle measures 3/2TT cm, what is the area of the circle in terms of TT?
A. 3/4 tt cm2
B. 9/2 tt cm2
C. 9/4 tt cm2
D. 9/16 tt cm2
Answer:
A = pi 9/16 cm^2
Step-by-step explanation:
The circumference is 3/2 pi
The circumference is given by
C = 2 * pi *r
3/2 pi = 2 * pi *r
Divide each side by 2 *pi
3/2 pi / 2 pi = 2 pi r /2pi
3/4 cm = r
Now we can find the area
A = pi r^2
A = pi ( 3/4) ^2
A = pi 9/16 cm^2
Answer:
d) 9/16π cm²
Step-by-step explanation:
Circumference = 3/2π cm
diameter = 3/2 cm
radius = 3/2 ÷ 2 = 3/4 cm
area = π(3/4)² = 9/16 π cm²
find the value of x
Answer:
x=6,1,5 is your answer look it once
Mr. Layte needs a mortgage to buy his first house. Which describes how this will affect Mr. Layte's financial situation?
Select Multiple Answers
A
He will have to watch his spending carefully as he will have extra costs that come with owing a house.
B
The amount of money he has to spend on things will increase because he is in debt. The bank will give him a monthly payment so he can pay for the house.
C
The amount of money he has to spend on things will remain unchanged.
D
The amount of money he has to spend on things will decrease because he is in debt. He must make monthly payments to the bank to pay for the credit he received.
9514 1404 393
Answer:
A, D
Step-by-step explanation:
Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.
The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...
what is 1+1 please help me?
Answer:
2
Step-by-step explanation:
Answer:
Window :D
Step-by-step explanation:
Okay but it's 2 I gotchu bro
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class is an only child?
Answer:
your answer will be
2 and 1/12
Step-by-step explanation:
hope it helps you
have a great day!!
8.3 (repeating) percent or 2 out 24 children
Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%
Answer:
The percentage increase in [tex]T[/tex] is 20 %.
Step-by-step explanation:
Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:
Initial value
[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)
Final value
[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]
[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)
(1) in (2):
[tex]T_{ii} = 1.2\cdot T_{i}[/tex]
And the percentage increase in T is:
[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)
[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]
[tex]\%T = 20\,\%[/tex]
The percentage increase in [tex]T[/tex] is 20 %.
Answer:
Step-by-step explanation:
Lets subsitute k, x and y as 100 to make it easier for us
So k = 100, x = 100, y = 100
Step 1 :- T = kx/y
- T = 100 * 100 / 100 = 100
Step 2 :- Increase by 20% = 100 * 20% = 20, 100 + 20 = 120
Step 3 :- Percentage Increase = Increased value OVER original calue MULTIPLIED by 100%
SO = ( 120 - 100 ) ,,,, 20/100 * 100% = 0.2* 100 = 20%
what is the value of y?
9514 1404 393
Answer:
y = 8√3
Step-by-step explanation:
In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...
1 : √3 : 2 = 8 : y : hypotenuse
In order for these ratios to be equal, we must have ...
y = 8√3
__
If you want to solve this using your trig skills, you recognize that ...
Tan = Opposite/Adjacent
tan(30°) = 8/y
y = 8/tan(30°) . . . . where tan(30°) = 1/√3
y = 8√3
HELPPPPPP!!!! WILL BE MARKED BRAINLIEST AND GET 50 POINTS
FIND THE INTERVAL OF THE CONVERGENCE
Answer:
Radius of convergence is 1/10
Step-by-step explanation:
Four boys shared an apple. The amount each boy ate is listed below. Joey ate 1 2 of the apple. Max ate 1 8 of the apple. Chris ate 1 8 of the apple. Kevin ate 1 8 of the apple. How much of the apple did they eat altogether?
As part of a science project, Andy surveys several students in his class to determine their energy levels throughout the day. He asks the students to rate their energy level on a scale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowest energy level possible. Andy then finds the average energy level for the class for each hour after the school day begins until the end of the day. He graphs his data as shown below.
Answer:
if we are doing the same thing it should be D-Andy’s study shows neither correlation nor causation.
Step-by-step explanation:
The average energy of the class after a different number of hours is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
We can make two ordered pairs (x, y).
Where y = average energy level and x = the number of hours.
Now,
From the graph, we see that,
The average energy after 1 hour = 7
The average energy after 2 hours = 8
The average energy after 3 hours = 5
The average energy after 4 hours = 5
The average energy after 5 hours = 4
The average energy after 6 hours = 5
The average energy after 7 hours = 3
Thus,
The average energy of the class after a different number of hours is given above.
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Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days.
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
A number decreased by 90 is 22.
Answer:
112
Step-by-step explanation:
x - 90 = 22
add (solve for x)
x = 112
Pls help
This is due in 7 minutes
Answer:
17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)
Step-by-step explanation:
18 .
21; 17.5; 14; 10.5; and 7
3 x 7 = 21
2.5 x 7 = 17.5
2 x 7 = 14
1.5 x 7 = 10.5
1 x 7 = 7
somebody please help, I'm stuck and cannot get past this. I'll give brainliest to first correct answer!!
In the triangle below, x= [? ]°. Round to the nearest tenth. 17 cm 9 cm 90° V Enter
Answer:
x = 58°
Step-by-step explanation:
cos x = 9/17 = 0.5294
x = 58.03°
please help me pleassee
it's a prism that is good question it's a prism ok a prism
Answer:
A prism. A pyramid would look a little different, and flat too.
Hope that helps!
Step-by-step explanation:
A number from 8 to 15 is drawn at random. What is the probability that the number is an even number? O 211 CD A/7 o 5/8 HKD 118 O 1/2
Answer:
4/7
Step-by-step explanation:
numbers between 8 to 15 is 7
so d even numbers are 4
that is d answer is 4/7
The probability that the number is an even number is 1/2.
What is the probability?The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.
A number from 8 to 15 is drawn at random.
The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8
Total even number = 8, 10, 12, 14 = 4
The probability that the number is an even number is;
[tex]\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the number is an even number is 1/2.
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IF YOU ARE GOOD AT MATH I NEED YOUR HELP REALLY BAD ATM . THIS CAN ALSO HAVE MORE THAN 1 ANSWER :)
Answer:
2(1.75+3.00) and 3.50x+6.00
Step-by-step explanation:
have a great day :D
Step-by-step explanation:
D
PLEEEEASSEEEEE ITS URGENT
I NEED THE ANSWER RIGHT NOW!!!!
I BEEEG YOU GUUYYS!!!
PLEEEASEE ....
THANKS FOR THE HELP
Answer:
Step-by-step explanation:
20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷
Population of Thailand = 7×10⁷ < 8×10⁷
pop of Thailand is less than 20 times pop of Panama.
math come on try for me atleast
Answer:
86
Step-by-step explanation: