Suppose x is any positive number.
Circle 1: center (0, 0) and radius 2x
Circle 2: center (0, 0) and radius 10x
Why iS circle 1 similar to circle 2?
• Both circles have congruent diameters.
• 1 Circle 1 and circle 2 have equal areas.
O Circle 2 is a dilation of circle 1 with a scale factor of 0.2.
O Circle 2 is a dilation of circle 1 with 1 a scale factor of 5.

Answer: Your answer should be 8.5 π

The formula to find the length of an arc is:

m ∘ 360 ∘ 2 π r  

120 /360  2 π ( 12.6 )

120 /360  25.2 π

Simplify  120 /360  to  1 /3  and finish the other simplifying:

1 /3  25.2 π

25.2 /3 π

Since they want the answer expressed by  π ,  8.5π  is the answer.

Answer:

I just took the test and got it wrong the first time. The correct answer is: 7π cm.

Step-by-step explanation:

Answer:

The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question. 1.how many students scored 78? (1 point) 1 student 2 students 3 students 4 students

the table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is female. First class of the day for college students male female humanities 70 80 science

Everyone in Andy’s class has to do a science project. Out of the 20 students, 80% have completed their project. How many students still need to finish their projects (got 4 students)

How many of the 28 students in Andy's class are boys, if 4/7 are girls?

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:

2x + 7

Step-by-step explanation:

Hi,

Combine like terms. 6x - 4x is 2x. 10 - 3 is 7.

Hope this helps :)

Answer:

x = 20 ft

Area of the living room = 400 ft²

Step-by-step explanation:

From the picture attached,

Length of rug = (x - 3) ft

Width of the rug = (x - 9) ft

Area of the rectangular rug = Length × Width

                                              = (x - 3)(x - 9)

187 = (x - 3)(x -9)

187 = x² - 12x + 27

x² - 12x - 160 = 0

x² - 20x + 8x - 160 = 0

x(x - 20) + 8(x - 20) = 0

(x - 20)(x + 8) = 0

x = -8, 20

Since, measure of 'x' can't be negative, measure of x will be 20 ft.

Therefore, area of the square living room = x²

                                                                     = (20)²

                                                                     = 400 ft²

Answer:

area = 132 cm²

Step-by-step explanation:

area of rectangle = 7 x 12 = 84

area of one triangle = 8 x 6 x 0.5 = 24

total area = 84 + 24 + 24 = 132 cm²

Answer:

852 students walking to school

Step-by-step explanation:

Lets start with a simple example so you can get it

if 60% of 100 students walk to school that means

60 students walk to school... right??

so lets simplify it more that means you have multiplied 100 (students) by 60%

or [tex]\frac{60}{100}[/tex]  (note: you can say that 60% is equal to [tex]\frac{60}{100}[/tex] )

so the problem told 60% of 1420 students walk to school that means we should

do this:     [tex]1420*\frac{60}{100} = 852[/tex]

Answer:

852 walk to school

Step-by-step explanation:

i got this because i divided the 1420 into 10 which became a 142, multiply by 6 and you get 852

also you could

it is really simple also, all you have to do is multiply the number of student, S times the precent of students who walk, so s times w, which is 60 precent turend into .6 precent so 1420 x .6

Answer: -x^2-2x-1

Step-by-step explanation:

Answer:

H0: Ud >= 0

H1: UD < 0

Step-by-step explanation:

We have the sample size = 81

Mean of x = 107

The alpha level was not given for me to help you calculate further.

This researcher wants to know if increasing reading speed brings about a decrease in the comprehension of the reader.

The hypothesis are

Null hypothesis

H0: U >= 0

Alternative hypothesis

H1: U < 0

Thank you

Answer:

-5 is the x and 10/3 is the y i think

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Answer:

300-10w<170

subtract 300 from both sides

-10w<-130

divide by -10, because we are dividing a negative number the inequality sign changes

w>13

(brainlyest appreciated!)

Answer:57.5

Step-by-step explanation:

057

6 345

0

34

30

 45

 42

   3

u have a remainder of 3 so u add .5 to 57

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

Step-by-step explanation:

To find how much 75% we multiply 100 with 75 and divide it with 100

75 × 10 ÷ 100 = 7.5

we need to do same with Noah's money

25 × 30 ÷ 100 = 7.5 Noah is correct, they have same amount.

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:

a)2.90m

c) 4700m

Step-by-step explanation:

I know answers for these only

please give brainliest

Answer:

The sum of two numbers is 14 and their difference is 10

Step-by-step explanation:

"2 numbers (x and y)

x+y = 14

and x-y + 10

If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20

The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.

Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2

The difference of 12-2=10 and the addition of 12 and 2 equals 14"

hopes this helps

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.

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:

12. x = 48

13. x = 7

Step-by-step explanation:

x/6 = 8

x = 8*6

x = 48

28 = 4x

28/4 = x

x = 7

Answer:

12) x/6 = 8

13) 28 = 4x

Answer:

D) x = 8

Step-by-step explanation:

The information given states that ABCD is similar to RSTU.

Line BC is similar to Line ST. ST is 2 times larger that BC.

Line AB is similar to Line RS. RS must be 2 times larger than AB as well, so multiply 4 x 2 to get x = 8.

Hope it helps!!!