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Dima020 [189]
3 years ago
14

Aaaaa PLEASE HELPPPPP

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

There are 20 cups and each one holds 10 fluid ounces. Assuming that she wants to fill them all up to the brim and use the complete 10 fluid ounces for each cup this means she would have a total of 200 fluid ounces: 20 * 10 = 200

1 gallon = 4 quarts

1 quart = 32 fluid ounces

This means that for every gallon she has 128 fluid ounces: 1 gallon (4 quarts/1gallon)(32 fluid ounces/1 quart) = 128

This means she needs at least 200 fluid ounces and she must buy another gallon to satisfy this; 128 * 2 = 256 fluid ounces.

She needs to buy 2 gallons but will have an extra 56 fluid ounces

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Ket [755]

Answer:

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

Step-by-step explanation:

Data given and notation  

\bar X=5.25 represent the sample mean

s=3.98 represent the sample standard deviation

n=54 sample size  

\mu_o =4.73 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z 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 differs from 4.73, the system of hypothesis would be:  

Null hypothesis:\mu =4.73  

Alternative hypothesis:\mu \neq 4.73  

Since we know don't the population deviation, 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  

We can replace in formula (1) the info given like this:  

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

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Answer:

y=-x+2.5

Step-by-step explanation:

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Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

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