has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'

Answer:

relative frequency of choosing aquarium is 80/210

about 400 students out of 2000 will choose aquarium

Step-by-step explanation:

relative frequency of choosing aquarium is 80/210

proportion:

a = students who choose aquarium

80/210 = a/1000

210a = 80000

a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students

Answer:

1) slope 3/2, y-intercept 7/2

2y-3x=7

2) slope 1/5, y-intercept 3

5y-x=15

3) slope 1/5, y-intercept 4/5

-x+5y=4

4) slope 5/2, y-intercept 7/2

2y=5x+7

Step by step explanation:

1) 2y-3x=7

2y=3x+7

y=3/2y+7/2

2)5y-x=15

5y=x+15

y=1/5x+3

3)-x+5y=4

5y=x+4

y=1/5x+4/5

4)2y=5x+7

y=5/2x+7/2

The median number of children is 3.

To learn more about median, visit :

https://brainly.com/question/28060453

#SPJ1

Answer:

2 child

Step-by-step explanation:

Answer:

[tex]A = 78^\circ[/tex]

[tex]B = 102^\circ[/tex]

[tex]C = 102^\circ[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find A, B and C

Because the sides of the crosswalk are parallel and the sidewalks are also parallel, then the following relationships exist

[tex]A = 78^\circ[/tex] ---- alternate interior angles

[tex]B = C[/tex]   ---- alternate interior angles

To solve for B, we have:

[tex]B + 78 = 180[/tex] --- the sum of the base angles

[tex]B = 180 - 78[/tex]

[tex]B = 102^\circ[/tex]

Recall that:

[tex]B = C[/tex]

[tex]C = 102^\circ[/tex]

Answer:

Step-by-step explanation:

Total outcomes:

Outcomes with same numbers on both dice:

Outcomes with different numbers on both dice:

Probability of different numbers on both dice:

Answer:

B. 64

......there are nine nolumbers in every interval . ..

Answer:

64

Step-by-step explanation:

91-82=9

minus every number by 9

Answer:

70kilometers

Step-by-step explanation:

first we must find how much one half of a centimeter is

well, its easy, theres already a half for the distance, and the representation is an even number, so cut it in half.

20-10 is 10

and now the multiplication

20x3=60

60+10=70

70 kilometers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up proportions. Make sure length and widths line up!

[tex]\frac{12}{5} =\frac{x}{8}[/tex]

Then do butterfly method.

[tex]12(8) = 5x[/tex]

Solve for x.

[tex]96 = 5x\\\\x= 19.2 in[/tex]

Hope that helped!

Answer:

70 square units

Step-by-step explanation:

1 box is 2 units

Width = 7 units

Length = 10 units

7 × 10 = 70 square units

Answer:

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Step-by-step explanation:

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.

Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.

This means that [tex]\mu = 17, \sigma = 2.5[/tex]

What does the CLT say about the distribution of the sample mean of 49 students?

It is approximately normal.

The mean is 17.

Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Answer:

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

Because:

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} * 3 = [\ ][/tex]

Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

Required

Fill in the box

[tex]\frac{1}{4} * 3 = [\ ][/tex]

This can be written as:

[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]

Solve the numerator

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

(b) Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

The above implies that

[tex]\frac{1}{4}[/tex] be added in 3 places

i.e.

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Answer:

352

Explanation

Answer:

352 square inches

Equation to find the surface area:

A=2(wl+hl+hw)

Steps:

2·(4·12+8·12+8·4)=352

If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!

Answer:

G1 = -5 G2 = -1

Step-by-step explanation:

plug in the values given into X and solve

g1= 1/4(-4) -4

g1 = -1 -4

g1 = -5

g2= 1/4(12) -4

g2= 3 -4

g2= -1

Answer

The triangle is scalene triangle

Answer:

Scalene triangle

Step-by-step explanation:

Answer:

17.2

Step-by-step explanation:

86/5=17.2

Answer:

20 sq yd

Step-by-step explanation:

To find the total amount of sq yd's of paint needed, you have to find the area.

The area of a triangle is: A = 1/2 bh

We know:

b = base = 8

h = height = 5

Plug in and solve:

A = 1/2 (8) (5)

A = 1/2 (40)

A = 20

Answer:

C

Step-by-step explanation:

12 decreased by 2 times x

Answer:

d!

Step-by-step explanation:

Answer:

−4(x − 3)2 + 7

Step-by-step explanation:

I took the test

Answer:

1/2 teaspoons of vanilla would be too much, the correct amount to use would be 0.125 teaspoons.

Step-by-step explanation:

Since 1 stick butter, 1/2 cup sugar, 1/2 teaspoon vanilla, 3 tablespoons milk, 1 1/2 cup flour, 2 teaspoon baking powder, 1/4 teaspoon salt is the regular recipe for 20 cookies, we would first have to divide 20 by 5 which would equal 4. And just like we had to divide the number of cookies down we have to divide the amount of vanilla down. So now we could turn 1/2 into a decimal which is 0.5. And 0.5 divided by 4 is 0.125.

So Edwin would need 0.125 teaspoons of vanilla so 0.5 ( 1/2 ) teaspoons of vanilla would be too much.

Answer:

23.45

Step-by-step explanation:

35 percent of 67=23.45

35×67=2345

2345/100=23.45

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

Answer:

C. The cost of a box of cereal

Step-by-step explanation:

In the question, we are given the number of 3 boxes of cereal, 2 loaves of bread, and that the total cost is $15. We can see these numbers in the equation, and putting it into context, we see that the 15 is on the right side of the equation, which indicates cash. Therefore, the 3 and 2 are accounted for, but their prices are unknown. X is a placeholder for the unidentified cost of a box of cereal, and we know that it's the boxes of cereal and not the loaves of bread because there are 3 and not 2.

Step-by-step explanation:

Let $p be the original price.

[tex](1 - 25\%)p = 30 \\ \frac{75}{100}p = 30 \\ p = 40[/tex]

∴ The original price is $40.

Answer:

8/20 and 15/20 and then you add to get 23/20 AKA       1   3/20

Step-by-step explanation:

Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8

Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15

Your final fractions will be 8/20 and 15/20

Then add and reduce to get 1 3/20

Answer:

a= 30 degree

b= 120 degree

c= 150 degree

Answer:

I'm not that good at this but I'll try.

The difference between 25 and 40 is 15

The difference between 80 and 5 is 75

So, 15/75 = 0.20 or 20%

Sorry, that all I can come up with

Step-by-step explanation: