In ADEF, E = 52°, d = 14, and f = 9. Find e.

Answer:

a)

The point estimate is 0.368.

The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).

b)

The point estimate is 0.262.

The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).

c)

Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.

Step-by-step explanation:

(a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 147 of these ads use humor.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 400:

This means that [tex]n = 400[/tex]

Point estimate:

[tex]\pi = \frac{147}{400} = 0.368[/tex]

The point estimate is 0.368.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 - 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.321[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 + 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.415[/tex]

The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).

(b) Suppose a random sample of 455 television ads in the United States reveals that 119 of these ads use humor.

Sample of 455:

This means that [tex]n = 455[/tex]

Point estimate:

[tex]\pi = \frac{119}{455} = 0.262[/tex]

The point estimate is 0.262.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.222[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.302[/tex]

The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).

(c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor?

Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.

9514 1404 393

Answer:

  1

Step-by-step explanation:

A solution for the pair of equations is a point that is on both lines. The only point on this graph that is on both lines is the one point where the lines intersect. There is one solution.

Answer:

57

Step-by-step explanation:

Answer:

go everything youve learnt from grade 3 come right up

Step-by-step explanation:

sometimes its knowing the simply formulas thatll get you through

Answer:

this is true p=7

And this is false p=8

p=6

p=5

Answer:

a)2.90m

c) 4700m

Step-by-step explanation:

I know answers for these only

please give brainliest

Answer:

Luis traveled 11.82 km in total.

Step-by-step explanation:

The statement should say: To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total?        

Hence, to find the total distance traveled by Luis we must add the distances of the train (6.37 km) and the car (5.45 km):

[tex] d = d_{t} + d_{c} = 6.37 km + 5.45 km = 11.82 km [/tex]

Therefore, Luis traveled 11.82 km in total.

I hope it helps you!  

Answer:

(-2,-5)

Step-by-step explanation:

Answer:

-2, -5

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Slope Formula = (y2-y1) over (x2-x1)

(1-2) over (0- -3)

(-1) over (0+3)

-1 over 3

-1/3

Hope this helps. Have a nice day you amazing bean child.

Answer:

$69.75

Step-by-step explanation:

$9 x 7 = $63

45 min/60 min = 0.75

$9 x 0.75 = $6.75

$63 + $6.75 = $69.75

Answer:

$69.75

Step-by-step explanation:

$9 x 7 hours = $63

$9 x 3/4 = $6.75

$63 + $6.75 = $69.75

I hope this helps :)

Answer:

1800$

Step-by-step explanation:

(6% of 500 is 30)

(30 x 12 is 360)

(360 x 5 is 1800)

Answer:

-21

Step-by-step explanation:

GIven data

We are given the equation of a line as

Y=-2x-21

let us compare this with the general equation of a line

y=mx+c

from the comparison, we can see that the intercept is -21

Therefore, the intercept is -21

Answer:

A) x = -3

Step-by-step explanation:

|3(-3) + 9| = 0

|-9 + 9| = 0

|0| = 0

0 = 0

Answer:

A)x=−3

Step-by-step explanation:

Step 1: Add -6 to both sides.

|3x+9|+6+−6=6+−6

|3x+9|=0

Step 2: Solve Absolute Value.

|3x+9|=0

We know 3x+9=0

3x+9=0(Possibility 1)

3x+9−9=0−9(Subtract 9 from both sides)

3x=−9

3x /3 = −9 /3

(Divide both sides by 3)

x=−3

Answer: -x^2-2x-1

Step-by-step explanation:

Answer: 569

Step-by-step explanation:

Answer:

They have to sell 569 makeup kits to make a profit

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Answer:

He paid $108.33 down and will owe $216.67

Step-by-step explanation:

:)

Answer:

i

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

use the pythagorean theorem to figure out what the hypotenuse is

3.5^2+3.5^2=x^2

12.25+12.25=x^2

25=x^2

x=5

now that you know the hypotenuse, you can find the perimeter by adding up all the sides

3.5+3.5+5=12

Answer:

31-9

Step-by-step explanation:

hers is 31 so if marcos is 9 in taller you just subtract it to get the height of his

Answer:

125

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

if you can't use calculator, you must know that after a number being square root, it MUST be in positive

for the negative answer will be false

so for the rest of the answer you need to try it

3² = 9 < 10 so it's true

4² =16 > 10 so it's false

the only answer is 3

Answer:

B, C, D

Step-by-step explanation:

Those are the equivalent ratios, look where the umbers are placed in the question to where they are placed in the ratio

Answer:

y = -x +2

Step-by-step explanation:

First let's find the slope.

(-1,3) and (4,-2)

3 - -2/ -1 - 4 = 5/-5 = -1

Slope = -1

Now let's use slope intercept form:

y1-y2=m(x1-x2)

Let's plug in our slope for m.

y1-y2= -1 (x1-x2)

And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)

y1+2 = -1(x1- 4)

y= -x + 4 -2

y = -x +2

Answer:

680

Step-by-step explanation:

add al you can add all of them and then my total came to 67 7.64 rounded to the nearest should be around 680

The total expenses for the month including electric bills, TV streaming service and rent is $677,6.

Summation is basically the result obtained by addition of all the numbers whose summation is to be obtained. The symbol used is ∑ for summation.

The expenditures done by Peter who lives in an apartment are:

Electric bill=$34.80

TV streaming service=$27.99

Rent=$614,85

Total expenditure incurred by Peter on electric bill, TV streaming service and rent =34.80+27.99+614.85

=$677.64

After rounding off we will get $677.6.

Hence the total expenses done by Peter on electric bill, tv streaming service, rent is $677.6.

Learn more about summation at https://brainly.com/question/542712

#SPJ2

Answer:

(a) 19%

(b) 5:6

Step-by-step explanation:

Given: Gh 258,000

salaries Gh 49,020

training Gh 72,000

housing Gh 60,000

entertainment Gh 12,000

exigencies Gh 23,020

(a) Percentage of the income spent on salaries = [tex]\frac{amount of salaries}{total income}[/tex] x 100

                           = [tex]\frac{49020}{258000}[/tex] x 100

                           = 0.19 x 100%

                           = 19%

The percentage of the income spent on salaries is 19%.

(b) Ratio of amount for housing to amount for training = [tex]\frac{amount for housing}{amount for training}[/tex]

                                = [tex]\frac{60000}{72000}[/tex]

                                = [tex]\frac{5}{6}[/tex]

The ratio of the amount for housing to the amount for training is 5:6