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Ivenika [448]
3 years ago
8

Whitney read a total of 4 books over 2 months. if whitney has read 16 books so far, how many months has she been with her book c

lub? solve using unit rates.
Mathematics
1 answer:
Tema [17]3 years ago
8 0
She has been with her book club for eight months.
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he one‑sample t statistic from a sample of n = 23 observations for the two‑sided test of H 0 : μ = 15 versus H α : μ > 15 has
DedPeter [7]

Answer:

t = 2.24

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

df=n-1=23-1=22  

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

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

Step-by-step explanation:

Data given and notation  

\bar X represent the mean height for the sample  

s represent the sample standard deviation

n=23 sample size  

\mu_o =15 represent the value that we want to test

t 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 is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is > 30 but 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

For this case the statistic is given:

t = 2.24

P-value

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

df=n-1=23-1=22  

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

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

5 0
3 years ago
Hey... what's <br><img src="https://tex.z-dn.net/?f=%28a%20%7B%7D%5E%7B2%7D%20%20-%20b%20%7B%7D%5E%7B2%7D%20%29%20%3D%20" id="Te
kogti [31]

Answer:

(a^{2} - b^{2} ) = (a + b)(a - b)

Step-by-step explanation:

This is the Difference of Squares: (a^{2} - b^{2} ) = (a + b)(a - b).

Hope it helps!

8 0
3 years ago
Read 2 more answers
What is the expanded form of this number?<br><br> 503.208<br> (Trying to help my sister do math!)
Blababa [14]

Answer:

500+3+ .200+.008

Step-by-step explanation:

You add 500 and 3 then after you get your number add .200 lastly add .008.

when expanding numbers you need to know what place value it's in so that you k ow where to put the zeros.

3 0
3 years ago
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
TiliK225 [7]

Answer:

I believe the answer is C

7 0
2 years ago
An art student wishes to create a clay sphere as part of a sculpture. If the clay’s density is approximately 88 pounds per cubic
enyata [817]

Answer:

The weight of the sphere = 2947 pounds

Step-by-step explanation:

* Lets revise the volume of the sphere

- The volume of the sphere is 4/3 π r³, where r is the radius of

  the sphere

- Density = mass ÷ volume

- Mass is the weight and volume is the size, so density is weight

 divided through size

- Density = weight ÷ volume

* Now lets solve the problem

∵ The clay's density ≅ 88 pounds/cubic foot

∵ The radius of the sphere is 2 feet

∵ The volume of the sphere = 4/3 π r³

∴ The volume of the sphere = 4/3 π (2)³ = 32/3 π feet³

∵ Density = weight/volume ⇒ by using cross multiply

∴ Weight = density × volume

∵ Density = 88 pounds/foot³

∵ Volume = 32/3 π feet³

∵ π = 3.14

∴ The weight of the sphere = 88 × 32/3 × 3.14 = 2947 pounds

8 0
3 years ago
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