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m_a_m_a [10]
3 years ago
7

In tennis Gabby serves in Ace a ball that can’t be returned four out of the 10 times she serves. What is the experimental probab

ility that Gabby will serve an ace on the first service of the next game? Make a prediction about how many Ace’s Gabby will make on her next 40 serves. Justify your reasoning.
Mathematics
1 answer:
just olya [345]3 years ago
3 0
She will hit 16 out of the next 40
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Y=8(x^2+4)+17+-32 in vertex form
Yakvenalex [24]

y = 8( {x}^{2}  + 4) + 17 + ( - 32)
y = 8( {x}^{2}  + 4) + 17 - 32
y = 8 {x}^{2}  + 32 + 17 - 32
y = 8 {x}^{2}  + 17
compare to the formula:
y = a( {x}^{2}  - h) + k
y = 8( {x}^{2}  - 0) + 17
a = 8
h = 0
k = 17
3 0
3 years ago
Johann wants to build a set of wood shelves using a piece of wood that is 83 ½ inches long. Each shelf is an equal length of 12
Oksanka [162]

Answer:

He'll be able to make 6 shelves.

Step-by-step explanation:

In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:

total amount = 83 1/2 inches = 83.5 inches

amount per shelve = 12 3/4 inches = 12.75 inches

amount of shelves = total amount/amount per shelve

amount of shelves = 83.5/12.75 = 6.55 shelves

Since he can't make half shelves he'll be able to make 6 shelves and have left over material.

3 0
3 years ago
A deep sea driver descended from a rock with an elevation of -45.5 feet to a coral reef with an elevation of -88.5 feet. How far
vlada-n [284]

Answer:

43 feet

Step-by-step explanation:

How far is referring to the distance between the two numbers given.

In general, the distance between two numbers, a and b,

is given by |b-a| .

You have that you are finding the distance between -45.5 ft and -88.5 ft.

So the distance between those numbers is given by:

|-45.5-(-88.5)|

|-45.5+88.5|

|88.5-45.5|

|43.0|

|43|  

43      (Since the number inside the | | has a distance of 43 from 0)

The distance between -45.5 ft and -88.5 ft is 43 ft.

7 0
3 years ago
Either use technology to find the P-value or use
Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

The statistic is given by: t = -0.024

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

7 0
3 years ago
What is the surface area of the solid...?​
ryzh [129]
580 square units !!
hope this helps you :))
5 0
2 years ago
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