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Alexxx [7]
3 years ago
10

Are integers real numbers?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0
Yes because integers are any numbers, it doesnt matter if its positive or negative
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An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou
Katyanochek1 [597]

Answer:

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

p_v =P(t_{(5)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation  

The mean and sample deviation can be calculated from the following formulas:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}

\bar X=29.35 represent the sample mean  

s=1.365 represent the sample standard deviation  

n=6 sample size  

\mu_o =30 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis 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 true mean is lower than 30 or no, the system of hypothesis are :  

Null hypothesis:\mu \geq 30  

Alternative hypothesis:\mu < 30  

Since we don't know 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{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

P-value  

We need to calculate the degrees of freedom first given by:  

df=n-1=6-1=5  

Since is a one-side left tailed test the p value would given by:  

p_v =P(t_{(5)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0
3 years ago
Evaluate-3/5 - (-2/7)
stepan [7]
Exact form: 31/35
0.8857142~
5 0
3 years ago
Read 2 more answers
Evaluate 5÷9(F - 32) when f=50
solmaris [256]

Answer:

10

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What value ofx is in the solution set of 3(x-4)&gt;5x +2?
kvv77 [185]

\boldsymbol{\sf{3(x-4) > 5x +2 }}

Use the distributive property to multiply 3 by x−4.

\boldsymbol{\sf{3x-12 > 5x+2 }}

Subtract 5x on both sides.

\boldsymbol{\sf{3x-12-5x > 2 } }

Combine 3x and −5x to get −2x.

\boldsymbol{\sf{-2x-12 > 2 }}

Add 12 to both sides.

\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}

\boldsymbol{\sf{-2x > 14}}

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.

\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}

\boxed{\boldsymbol{\sf{x < -7 }}}

So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.

ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

  • brainly.com/question/17070130
8 0
1 year ago
Is a three-digt whole number
Rudiy27

Answer:

693

Step-by-step explanation:

7*9*11*3=693

5 0
3 years ago
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