What is the length of side a? Round to the nearest tenth of an inch

The circumference of a circle is 6 inches. What is the area of the circle?

Digiron [165]

Answer:

Step-by-step explanation:

6 0

3 years ago

Please help me with this homework

tigry1 [53]

Answer:

1) 3.21 by itself if rational, I don't know if the dots mean anything, but if they do, then it is irrational.

2) Pi is an irrational number as it repeats forever.

6 0

3 years ago

An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contra

Yuliya22 [10]

Answer:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

$p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation for the sample

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ 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 can assume that we conduct a hypothesis in order to check if the true mean is equal to 31.3 , the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

5 0

3 years ago

A bullet is fired into the air with an initial velocity of 881 feet per second at an angle of 55° from the horizontal. Find the

snow_lady [41]

The horizontal and vertical vector components of the velocity vector V, namely Vx and Vy are; 505.32 ft/s and 721.57 ft/s respectively

<h3>Horizontal and Vertical components of vectors</h3>

For ease of computation since vectors have magnitude and direction; they are resolved into horizontal and vertical components.

By convention, the horizontal, Vx and vertical components, Vy are as follows;

Vx = V cos π
Vy = V sin π

where π = angle of inclination to the horizontal.

Hence,

Vx = 881 × cos55° = 505.32 ft/s

Vy = 881 × sin55° = 721.57 ft/s

Read more on vectors and direction;

brainly.com/question/4417902

8 0

2 years ago

Which expression is equivalent to 1/4(8-6x+12)?

Marina CMI [18]

¹/₄(8 - 6x + 12)
¹/₄(-6x + 8 + 12)
¹/₄(-6x + 20)
¹/₄(-6x) + ¹/₄(20)
-1¹/₂x + 5
The answer is D.

$\frac{-378\ feet}{7 \min} = -54\ feet\ per\ minute$

3 0

4 years ago