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Sonbull [250]
3 years ago
8

If Emma is 12 Luke is two times her age Kendra is 1 half of Luke's age how old is Kendra

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0
E=emma 
l=luke
k=kendra

e=12

l=2(e)
l=2(12)
l=24

k=1/2(l)
k=1/2(24)
k=12 

kendra is 12 years old

Natali [406]3 years ago
5 0
We already know that Emma is 12, and if Luke is twice her age, then that means we need to multiply 12 by 2, which equals 24. If Kendra is one half of Luke's age, which is 24, then we must divide 24 by 2, which equals 12.
In conclusion, Kendra is 12 years old.
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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
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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:  

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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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