What additional information would you need to prove that ΔABC ≅ ΔDEF by S S S?

The distance from Fort Worth to Fresno is 1,530 miles. If a cyclist maintains an average speed of 17 miles per hour, how many ho

Tju [1.3M]

The time take for the cyclist to travel from Fort Worth to Fresno is $90 \ hours$

Explanation:

It is given that the distance from Fort Worth to Fresno is 1,530 miles.

The average speed of the cyclist is 17 miles per hour.

The time travelled by the cyclist can be determined using the formula,

$Distance=Speed \times Time$

Substituting the value of distance and speed, we get,

$1530=17\times Time$

Dividing both sides by 17, we get,

$90 =Time$

Thus, the time take for the cyclist to travel from Fort Worth to Fresno is $90 \ hours$

3 0

3 years ago

Nancy’s morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the t

Lina20 [59]

26 minutes to get to work

5 0

2 years ago

Factor: m^2 - 20m - 21

Ganezh [65]

(m-21) (m+1)there I thinks it's right unless I messed up my work

6 0

3 years ago

Read 2 more answers

I NEED ANSWERS FAST PLEASE HELP ME !!!

Scilla [17]

Answer:

$160,000 to $220,000 = 37.5% increase

Step-by-step explanation:

6 0

2 years ago

company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26

podryga [215]

Answer:

$t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435$

$p_v =P(t_{(49)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=25.02$ represent the sample mean

$s=4.83$ represent the sample standard deviation

$n=50$ sample size

$\mu_o =26$ represent the value that we want to test

$\alpha$ 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 mean is at least 26 mpg, the system of hypothesis would be:

Null hypothesis: $\mu \geq 26$

Alternative hypothesis: $\mu < 26$

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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:

$t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=50-1=49$

Since is a one sided test the p value would be:

$p_v =P(t_{(49)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0

3 years ago