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.
11. Given that the function graphed is f(x), what
is f(-5)?
Answer:
f(-5) =5
Step-by-step explanation:
We want to find the output value when x = -5
Looking at the graph when x = -5 the graph is at 5
f(-5) =5
PLESS I BEGG FOR YOUR HELP U GET BRANILY AND A LOT OF POINTS
Louise measured the perimeter of her rectangular scrapbook to be 150 cm. If the scrapbook is 42 cm wide, how long is the scrapbook?
A.
75 cm
B.
31 cm
C.
66 cm
D.
33 cm
Please help me !!!!!!
Answer:
200 step by step
Step-by-step explanation:
The Math Club makes 35 bars of soap a week and sells these at $20 each. Before the soap can be sold, 6 bars were eaten by a polar bear. If they sell the remaining bars of soap, how much will they make this week?
Answer:I don't really know
Step-by-step explanation: I kind of just come on here to stump my parents.
Brainiest guranted question below.
Answer:
48
Step-by-step explanation:
30 is 5/8 of ?
30x8=240
240/5=48
(18 Math teachers and 30 non-Math teachers)
Please help me!!!!!!!
it is 15 if you add and then divid
(1/5)³= help me plz its been like more hours since i fond this site like I got into this site yesterday
To cube a fraction, we simply cube both the numerator and the denominator.
So we have 1^3/5^3 which is 1/125.
Helppppppp plsssssssssss
Answer: 43.5 cm²
Step-by-step explanation:
Area for a trapezium is: a + b/2 X h
13 + 16/2 X 3 = 43.5 cm²
Answer:
43.5
Step-by-step explanation:
[tex]a=\frac{base 1+base2}{2} h[/tex]
[tex]a=\frac{13+16}{2} *3\\a=\frac{29}{2} *3[/tex]
[tex]a=\frac{87}{2\\} \\a=43.5[/tex]
The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet
Answer:
As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:
d1 = 44 / tan(60) = 25.403 m
For point2:
d2 = 44 / tan(30) = 76.210 m
The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.
The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
help me do this i’m confused!! thank you!!
Volume is a 3d version of area
Write a quadratic function to model the graph to the right
f(x)=0
20-
18-
16-
14
12-
10-
8-
6-
4
2-
10 -3 -6
8
Answer:
10 -3 -6
Step-by-step explanation:
Express each decimal to fraction 77.0075
Answer:
77[tex]\frac{3}{400}[/tex]
Step-by-step explanation:
Answer:
30803/400
Step-by-step explanation:
77.0075 = 770075/10000
= 154015/2000
= 30803/400
Need answer asap, will give brainliest to the correct answer.
Answer:The answer is the 2 one
Step-by-step explanation:
How many millimeters equal 5 liters?
Answer:
multiply the volume value by 1e+6
Step-by-step explanation:
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answer:
551 ft
Step-by-step explanation:
i pretty sure thats it sorry if its wrong
Branliest to correct answer explain how you solved it please
Answer:
{1}
Step-by-step explanation:
A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.
{1} is the answer since it is the only number that is in all three sets.
It's due in 30 minutes!!
Answer:
Top Left: 40/100 = 2/5 = 40%
Top Right: 52/100 = 13/25 = 52%
Bottom Left: 22/100 = 11/50 = 22%
Bottom Right: 9/100 = 9/100 = 9%
Step-by-step explanation:
How do you graph x+6y=0
Answer:
We need to put this equation into either form of a line, pererably, slope intercept form!
Step-by-step explanation:
To do this, out goal is to get y alone.
1. We subtract x on both sides.
2 We divide 6 on both sides.
3. Our answer is y= -x/6 ( negative x divided by 6)
4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.
5. The y intercept is (0,0)
6. From (0,0) point, you go down -1 and move 1 to the right each time!
The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph this equation, start by rearranging it to solve for y.
y = -x/6
Next, plot a few points to fill in the graph.
when x is 0,
y is 0.
When x is 6,
y is -1, and
when x is -6, y is 1.
Finally, connect the plotted points with a straight line.
The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
To learn more on Graph click:
https://brainly.com/question/17267403
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The following list has a median of 43. what would be the new median if 21 was added to the list?
31 48 50 23 28 52 57 38 56 27
Answer:
38
Step-by-step explanation:
cross the numbers out
105-30-45-3028+10000000000000038492=?
Answer:
105-30-45-3028+10000000000000038492= 1.000000000000003e19
Step-by-step explanation:
I did the math
have a good day!!
I willl mark you branlist!!
Answer:
tHIS IS EASY, JUST LOOK AT THE NUMBER OF TIMES IT HAPPENS, THAT IS UR ANSWER FOR EXPERIMENTAL PROBABILITY
Step-by-step explanation:
what is the value of x?
Answer:
x = 111°
Step-by-step explanation:
The interior sum of a triangle is 180°
x + 37 + 32 = 180
x + 69 = 180
x = 111
good luck, i hope this helps :)
the faulty odemeter of a used car registers 4.6 miles for every 5 miles driven. when travelling from acton to bywater, the faulty odemeter registers 92 miles. how far apart are acton and bywater
Answer:
i have no idea how to do this but good luck on your mathematics olympics !!
Step-by-step explanation:
Help plz I’ll mark brainliest
Answer: I believe the answer is B
Step-by-step explanation: Hope it helps :)
Evaluate the expression where x= 5 y=2
If g(x) = f(4x), which statement is true?
Answer:
I believe its the last answer.
Step-by-step explanation:
I need help solving this
²³√∛·×÷±≈≠≤≥βα∞∨∧∉∈⇔,⇒≅≡ΔπФω↑↓∵∴↔→←⇵∀⊅⊄⊇⊆⊃⊂∑∫⇆⇄⇅°∠∡⊥∪∩∅¬⊕║∦∝㏑㏒∞
What do all of these symbols stand for?
Answer:
Mathematical symbols used for different calculations?
PLEASE HELP ASAP
2 : 6 : 7 = x : 36 : y
Answer:
2:6:7=12:36:42
Step-by-step explanation:
hope its right :)
Find the surface area
Will give brainliest