Find the angel at the center of the sector, <br> 1. when perimeter is 64cm and radius is 21cm<br>

A die-cast plane toy is scaled at inch to 1 foot. If the toy is 6.5 inches wide and 8.5 inches long, determine the dimensions of

ad-work [718]

7 feet wide and 9 feet long

6 0

3 years ago

Using traditional methods, it takes 94 hours to receive a basic flying license. A new license training method using Computer Aid

nikdorinn [45]

Answer:

$z=\frac{95-94}{\frac{5}{\sqrt{210}}}=2.898$

$p_v =2*P(Z>2.898)=0.0038$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=95$ represent the sample mean

$\sigma=5$ represent the population standard deviation

$n=210$ sample size

$\mu_o =94$ 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 mean is different from 94, the system of hypothesis are :

Null hypothesis: $\mu = 94$

Alternative hypothesis: $\mu \neq 94$

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:

$z=\frac{95-94}{\frac{5}{\sqrt{210}}}=2.898$

P-value

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

$p_v =2*P(Z>2.898)=0.0038$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.

8 0

3 years ago

Please answer <br><br> Will give brainlst

VMariaS [17]

Answer:

1.true

2.false

3.true

Step-by-step explanation:

please give me a brainliest :)

4 0

3 years ago

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____. 78 6 -6

Thepotemich [5.8K]

The supplied lines' point of intersection has the x coordinate is 6.

<h3>What is coordinate geometry?</h3>

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

The x coordinate of the location where the ensuing lines intersect must be chosen.

3x + 5y = 78 ...........................(1)

2x - y = 0 ...............................(2)

The given system of equations must be solved in order to determine the x coordinate of the site of intersection.

Equation (ii) provides us with

2x = y

y = 2x ........................(3)

Equation I yields the result when the value of y from equation (iii) is substituted.

3x + 5(2x) = 78

3x + 10x = 78

13x = 78

x = 78/13

x = 6.

As a result, the supplied lines' point of intersection has the x coordinate 6.

To know more about coordinate geometry visit:

brainly.com/question/12964550

#SPJ4

I understand that the question you are looking is :

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____.

A. 7

B.8

C. 6

D. -6

3 0

2 years ago

An island has 12 fur seal rookeries (breeding places). To estimate the fur seal pup population in Rookery A, 6334 fur seal pup

Sati [7]

Answer:

37080

Step-by-step explanation:

To solve this problem we need to use proportions:

We don't know the total population in Rookery A but we know that 6334 of the total were tagged. Later, from a sample of 1200 pups, 205 were previously tagged.

The proportions we get are:

$\frac{p}{6334} =\frac{1200}{205}$ where p is the total population.

Now we will solve the proportion for p:

$\frac{p}{6334} =\frac{1200}{205}\\p=\frac{(6334)(1200)}{205} \\p=\frac{7600800}{205} \\p=37077.07$

Therefore the total number of fur seal pups is 37077 ≈ 37080

4 0

3 years ago

Find the angel at the center of the sector, 1. when perimeter is 64cm and radius is 21cm​

Find the angel at the center of the sector, 1. when perimeter is 64cm and radius is 21cm