Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

Answer:

51 words

Step-by-step explanation:

20words=35 seconds

? =90 seconds

Cross multiplication to get

(90×20)/35

1800/35

51.42

Meaning he can type 51 words in 90 seconds

Answer:

he can type about 51 words in 90 seconds because

use proportion

7x = 360

x = 51 3/7

x is about 51

Step-by-step explanation:

Answer:

4/10, 6/15, 8/20, 10/25

Step-by-step explanation:

Answer:

VUS, UST

Step-by-step explanation:

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.

Step-by-step explanation:

1. 51-x-5

= 46-x Answer

2. 21-24

= -3 Answer

Answer:

obtuse

Step-by-step explanation:

When c, the hypotenuse, is greater than the legs (a and b), it's an obtuse triangle

Answer:

65°

Step-by-step explanation:

All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°

Answer: x = 3

First, you can multiply the 4 with the x and the 1:

4x + 4 + 8 = 24

Now, you just add the 4 and the 8 together:

4x + 12 = 24

Subtract 12 from both sides:

4x = 12

Now you divide by 4 from both sides

x = 3

^ and that's your final answer!

Answer:

x=3

Step-by-step explanation:

4x+4+8=24

4x+12=24

4x=12

4x/4=12/4

(x=3)

Answer:

Step-by-step explanation:

0: -2

1: -4

2: -6

Answer

899

Step-by-step explanation:

99

Answer:

yes ‐1/16 is rational number

solution ‐1/16=‐16

and every integer is a rational number

Answer:

C. 150

Step-by-step explanation:

It's right on Plato.

Answer:

453 adult tickets and 877 student tickets were sold.

Step-by-step explanation:

Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:

5 - 1 = 4

1330 x 1 = 1330

3142 - 1330 = 1812

1812/4 = 453

1330 - 453 = 877

877 x 1 + 453 x 5 = X

877 + 2265 = X

3142 = X

Therefore, 453 adult tickets and 877 student tickets were sold.

Answer:

Let x=sinθ

2sin²θ = 5sinθ - 3

2x²=5x-3

2x²-5x+3=0

(2x-3)(x-1)=0

2x-3=0 or x-1=0

x=3/2 or x=1

sinθ=2/3 or sinθ=1

θ=arcsin(2/3) or θ=arcsin(1)

θ=0.729727656 or θ=1.57079633=π/2

Answer:

25

Step-by-step explanation:

Answer:

D. 11

Step-by-step explanation:

Midsegment theorem:

The length of the midsegment of a triangle is half the length of it's third side.

In this question:

Third side: 3x - 5

Midsegment: 14m

So

[tex]\frac{3x - 5}{2} = 14[/tex]

[tex]3x - 5 = 28[/tex]

[tex]3x = 33[/tex]

[tex]x = \frac{33}{3}[/tex]

[tex]x = 11[/tex]

The correct answer is given by option D.

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.

Step-by-step explanation:

Answer:

B. Half the data values are greater than 100.

Step-by-step explanation:

The median is just another way to say the number in the middle.  So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

Answer:

$135

Step-by-step explanation:

Answer:

12.50

Step-by-step explanation:

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

Answer:

18,375

Step-by-step explanation:

Answer:

she will see 108 humming birds

Step-by-step explanation:

30x6= 180

so mutiply how many times she sees one in a month by 6

Answer:

3240

Step-by-step explanation:

Answer:

Least is 7

Most is 12

Step-by-step explanation:

So 2 shirts for 12.

So 24

Take 24 off of both

Left with 21 to 36

21÷3 is 7

36÷3 is 12

Hope this helps

Answer:

least - $7

most - $12

Explanation:

if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.

the least amount melissa could have spent on a skirt is:

($45 - $24) ÷ 3 = $7

and the most she could have spent is:

($60 - $24) ÷ 3 = $12

i hope this helps! :D

Answer:

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

Step-by-step explanation: