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Vanyuwa [196]
3 years ago
12

The same astronaut visited Pluto. His weight on Earth was still 170 pounds, and his weight on Pluto was only 10 pounds. He remov

ed an ice core with a weight of 25 pounds on Pluto. What is the weight of the ice core on Earth?
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0
425 because if you put these number in fractions such a$ 170/10 with x/25 you would cross multiply 170 with 25 then divide by 10
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Answer:

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Step-by-step explanation:

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Leni [432]

Answer:

a) Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

b) t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

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The p value for this case taking in count the alternative hypothesis would be:

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Step-by-step explanation:

Information given

\bar X=130 represent the sample mean for the amount spent each shopper

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n=80 sample size  

\mu_o =120 represent the value to verify

t would represent the statistic    

p_v represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case would be given by:

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

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

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Which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)? (PLEASE HELP ASAP, DUE
gizmo_the_mogwai [7]

Using a system of equations, it is found that the third graph shows a pair of lines that represent the equations with a solution (−5, 2).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The solution of the system on a graph is the intersection of two lines. The third graph has an intersection at (-5,2), hence it is the answer to this question.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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Answer:

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Step-by-step explanation:

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