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3 years ago

Can someone please actually help me with this? Images Below

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

Step-by-step explanation:

In inscribed quadrilaterals, opposite angles are supplementary.

First problem:

x + 148 = 180

x = 32

2x + 1 = 65

Second problem:

x + 20 + 3x = 180

x = 40

180 − (2x + 38) = 62

You might be interested in

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

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

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

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

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

Solution to the problem

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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 $ME =\pm 0.03$ 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)

We don't have a prior estimation for the proportion $\hat p$ so we can use 0.5 as an approximation for this case

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

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

5 0

3 years ago

Sophia owns a clothing store that sells graphic T-shirts. n is the number of

goldenfox [79]

Answer:

n = 150

Step-by-step explanation:

If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)

and the cost function of her store is C = 16n + 750 ........ (2)

Now, at break-even point, the revenue of a business is equal to its cost.

Therefore, r = C {From equations (1) and (2)}

⇒ 21n = 16n + 750

⇒ 5n = 750

⇒ n = 150

So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)

8 0

3 years ago

For the last basketball game, 381 tickets were sold. Adult tickets sold for $7, and student tickets sold for $3. How many adult

vovikov84 [41]

Answer: 96 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of students tickets that were sold.

For the last basketball game, 381 tickets were sold. This means that

x + y = 381

Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that

7x + 3y = 1527 - - - - - - - - - - - -1

Substituting x = 381 - y into equation 1, it becomes

7(381 - y) + 3y = 1527

2667 - 7y + 3y = 1527

- 7y + 3y = 1527 - 2667

- 4y = - 1140

y = - 1140/- 4

y = 285

x = 381 - y = 381 - 285

x = 96

4 0

3 years ago

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.

ivann1987 [24]

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

3 0

3 years ago

1.Type the missing number to complete the proportion.

insens350 [35]

Answer:

1. 35 pages in 7 days

2. 63 pages in 9 tables

3. 408 student on 8 buses

Step-by-step explanation:

5 0

3 years ago