The average (arithmetic mean) of 0, a, and b is 2a. What is the value of b in terms of a?

Can someone help finds the area of this figure

jeka94

9514 1404 393

Answer:

49 cm^2

Step-by-step explanation:

The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.

Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2

Total area = 49 cm^2

4 0

3 years ago

A diver was exploring the ocean. The diver dove 32 ft. below sea level. Then dove another 45 ft. At what depth was the diver?

frez [133]

Step-by-step explanation:

add 32 ans 45 together thats your answer

7 0

3 years ago

20 POINT QUESTION. EXPLAIN HOW YOU GOT THE ANSWER. I WILL MARK AS BRAINLIEST THANK YOU.

Akimi4 [234]

16, because its 12 and you add one-third to 12 so that means its $16

5 0

3 years ago

Move each inequality next to the number line it represents.<br> Number Line<br> Inequality

Art [367]

1. x > -2
2. x ≤ -2
3. x ≥ -2
4. x < -2

5 0

2 years ago

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