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3 years ago

15 points for answer and brainliest answer for correct answer. Question up above

Mathematics

2 answers:

yawa3891 [41]3 years ago

3 0

Answer:

i think its 48

Step-by-step explanation:

u can split it into 2 triangles

VLD [36.1K]3 years ago

3 0

It’s 48. The area of a parallelogram is always height x base basically similar to a rectangle so don’t let that ugleh lookin parallelogram trick u.

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My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago

There are 235 whistles and 42 bells in the store. Ryan counts 128 whistles on the shelf. How many whistles are not on the shelf

yanalaym [24]

There would be 107 whistles
-equation- 235-128=107

7 0

3 years ago

Interpreting the Unit Rate as Slope fill in the boxx please nd thank you

EleoNora [17]

Answer:

3,3

Step-by-step explanation:

5 0

3 years ago

Identify the coefficient in the term 7x^2 y^3 A7 B2 C 3

Fed [463]

Answer:
a. 7

Explanation:
A coefficient is the number in front of the variable that is to be multiplied by said variable. Simply identify the coefficient in the term provided to solve the problem.

8 0

3 years ago

While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°

Kaylis [27]

Answer:

The rock formation is approximately 7 feet tall.

Step-by-step explanation:

We can visualize this situation as a triangle and know that the bottom side is 10 and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.

x = the height of the rock formation

tan(22°) = x/10

10 tan(22°) = x

x = ~4.04 feet

We also have to add the 3 feet to it because it is being measured 3 feet above the floor.

x + 3 = 7.04 feet

7 0

3 years ago