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Otrada [13]
3 years ago
14

Suppose you have an isosceles triangle, and each of the equal sides has a length of 1 foot. suppose the angle formed by those tw

o sides is 45. then the area of the triangle is
Mathematics
1 answer:
notsponge [240]3 years ago
8 0
\left \{ {{y=2} \atop {x=2}} \right.
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What is the volume of the rectangular prism?
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5 x 6 x 2 = 60
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A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
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  

7 0
3 years ago
A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 flui
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Answer:

1.25/4 = 5/16

1.75/5 = 7/20

Determine which one of these fractions is bigger.

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How can you tell if an equation has direct variation? (Direct variation means proportional)
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Direct variation/proportional means that one variable is always a multiple of the other variable.

It looks something like y = n /cdot x, where n is any number.
7 0
3 years ago
!will give brainlist!
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Answer:

ummm it would be b sorry if wrong

Step-by-step explanation:

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