I picked the last one by accident but what is the correct answer?

Answer:

65

Step-by-step explanation:

Hi,

Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.

I hope this helps :)

Answer:

65

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

The scale factor of the image after the dilation is k = 2

Given data ,

Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)

Now , the dilated polygon is represented as A'B'C'D'

where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).

Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:

Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)

So, A'/A = 2 / 1

A' = 2A

So, the scale factor is k = 2

Hence , the dilation is solved.

To learn more about dilation click :

https://brainly.com/question/13176891

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Answer:

a) A sample of 385 must be taken.

b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

c) A sample of 246 is needed.

Step-by-step explanation:

Question a:

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].

The margin of error is:

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

Absence of preliminary data:

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

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].

How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?

A sample of n must be taken.

n is found when [tex]M = 0.05[/tex]. So

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

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

Dividing both sides by 0.05

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up,

A sample of 385 must be taken.

Question b:

In a sample of 100 workers, 20 of them had changed jobs within the past year.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]

The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

Question c:

Same procedure as question a, just with [tex]\pi = 0.2[/tex]

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

[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]

[tex]n = 245.8[/tex]

Rounding up

A sample of 246 is needed.

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

Answer:

uhh 7 maybe?

Step-by-step explanation:

i dont know

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Answer:

B

Step-by-step explanation:

Answer:

5/12 cup of water per plant

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

Answer:

3/5

Step-by-step explanation:

5/5 - 2/5 = 3/5

Answer:

Equation: 4.8 times 5.2 then divided by 2

= 12.48 (area)

Step-by-step explanation:

The formula of finding the area of a triangle:

base * height then divided by 2

* = multiply

Base: 4.8

Height: 5.2

multiply them

= 24.96

then divide by 2

= 12.48

hope this helped :)

Answer:

12.48

Step-by-step explanation:

5.2 times 4.8 is is 24.96 and that divded by 2 is 12.48

Answer:

x=9

y=20

Step-by-step explanation:

6/8=3/4

x/12=9/12=3/4

15/y=15/20=3/4

Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Answer:

m = -3/4

Step-by-step explanation:

-5 - 1 / 6 - -2 = -6/8 = -3/4

Answer:

Step-by-step explanation:

(-5 - 1)/(6 + 2)= -6/8 = -3/4

Answer:

acute, equilateral

Step-by-step explanation:

Answer:

Acute, equilateral

Step-by-step explanation:

Angle of 60 is acute and it is an equilateral triangle.

Answer:

answer:

i believe 28

Step-by-step explanation:

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Answer:

4

Step-by-step explanation:

The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

Answer:

(6*y130896+1%315£&+)

(19+!re

Answer:

the lines are perpendicular because they have the same slope so the correct answer would be c

Step-by-step explanation:

ANSWER

l

Or

Or

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

Or

there's your answer.............

Answer:

a) a = 12s

Step-by-step explaination: