What is the value of x? please help me! A. 43 B. 62 C. 105 D. 115

Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad

serg [7]

Answer:

$\frac{4\pi}{3}$

Step-by-step explanation:

The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.

To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)

arc length of a sector = $\frac{centralangle}{360} \cdot 2\pi r$

arc length of a sector = $\frac{240}{360} \cdot 2\pi(1)$

arc length of a sector = $\frac{2}{3} \cdot 2\pi$

$\frac{4\pi}{3}$

6 0

3 years ago

HELP MEEEEEEEE PMEASE In order!!!

Tasya [4]

Step-by-step explanation:

The value of all the angles in a triangle add up to 180.

So to find x do 180-(66+52)

The angle opposite of x is the same value as x

X+E or X+Z are both equal to 180.

3 0

3 years ago

Please help me with this

blsea [12.9K]

Answer:

9x squared + 12x

Step-by-step explanation:

8 0

3 years ago

Which table represents the following equation? y=7n-4?

uysha [10]

There is no attachment to this questions so we do not know which table represents the following. If you re-question, I would be gladly able to do so.

8 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

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

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ 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

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

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

Replacing we got:

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

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago