The scores on a test given to all juniors in a school district are normally distributed with a mean of 73 and a standard deviation of 7. Find the percent of juniors whose score is below 66. The percent of juniors whose score is at or below 66 is

Answer:

a. x = 5, AB = 14, BC = 8

Step-by-step explanation:

✔️Both triangles are similar, therefore their side lengths are proportional to each other.

Thus:

[tex] \frac{2x + 4}{x + 3} = \frac{7}{4} [/tex]

Cross multiply

[tex] 4(2x + 4) = 7(x + 3) [/tex]

[tex] 8x + 16= 7x + 21 [/tex]

Collect like terms

[tex] 8x - 7x = -16 + 21 [/tex]

[tex] x = 5 [/tex]

✔️AB = 2x + 4

Plug in the value of x

AB = 2(5) + 4

AB = 14

✔️BC = x + 3

Plug in the value of x

BC = 5 + 3

BC = 8

Answer:

I believe it is 2.44560420327

As a fraction it is 2/3

Answer:

2/9, 2/8, 2/3

Step-by-step explanation:

2/9= 0.22 (to 2 decimal point)

2/8= 0.25

2/3 = 0.67

Step-by-step explanation:

it's the 2nd one

...................

Answer:

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

Step-by-step explanation:

Since The angles of a triangle add up to 90, then 8 + 3 + 4 should equal to 90 if multiplied by x.

Example:

x(8 + 3 + 4) = 90

x(15) = 90

15/15x = 90/15

x = 6

If x is equal to 6, then 6 times 8, 6 times 3, and 6 times 4, should equal their respective angles and add up to 90.

Example:

8 * 6 = 48

3 * 6 = 18

4 * 6 = 24

48 + 24 + 18 = 90

This means the angles are

48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24

Answer:

3/5 or 60%

Step-by-step explanation:

It looks like you filled in A correctly so I will focus on B

There are 24 cars in the pool and 16 vans totally 40 total vehicles

If were to pick a random vehicle from the pool the odds of it being a car is equal to

number of cars in the pool/number of vehicles in the pool

This means the odds of you randomly picking a car is 24/40 which simplifes

to 3/5

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width  

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

Answer:

21 bags are not full.

Step-by-step explanation:

Given that,

Total no. of marbles = 395

He is putting 22 marbles in each bags.

We need to find the number of marbles will he have in the bags that is not full. It can be calculated by dividing total no. of marbles and the no. of marbles in each bags.

[tex]x=\dfrac{395}{22}\\\\=17.95\\\\\text{or}\\\\=17\dfrac{21}{22}[/tex]

So, it means 17 bags are full but 21 bags are not full.

Answer:

Step-by-step explanation:

All square angles are 90° exactly 90° so we can use that to your advantage. since "7x + 3" is one of the square's angles, that means 7x + 3 must equal 90°. (7x + 3)° = 90°.

7x + 3 = 90

7x = 90 - 3

7x = 87

7x/7 = 87/7

x = 87/7

Answer:

D

Step-by-step explanation:

Answer: I don't really understand, but something in my brain says D haha

Answer:

x - 1 and 5x - 7

Step-by-step explanation:

f(x) + g(x)

= 3x - 4 - 2x + 3 ← collect like terms

= x - 1

f(x) - g(x)

= 3x - 4 - (- 2x + 3) ← distribute parenthesis by - 1

=  3x - 4 + 2x - 3 ← collect like terms

= 5x - 7

Answer:

Step-by-step explanation:

Well what are the sizes of the bags, and what are the prices of the bags

Answer:

-7 1/2

Step-by-step explanation:

Answer:

A = 3W + 4

Step-by-step explanation:

She learns 3 new recipes every week, which gives 3W

Then we add 4 because she already knew 4.

Answer:

Remember the key word”factor” which means to multiply. Multiple all those numbers by 3!

Step-by-step explanation:I’m going to do 2 of them and you can do the last one (2,1)x3= the dilation (6,3). (3,0)x 3 gives the dilation (9,0). (1,-2)x3 gives the dilation of (3,-6). See it’s very easy.

Answer:

1: 86 inches is the width

2: -20

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

-2 x 4 = -8

-2 x -2 = 4

-8 - (-4) = -4

(keep change flip)

-4 - -4(3) 4x4x4= -64

-4 - (-64)

60

Step-by-step explanation:

Hey there!

Given sequences are; 2 , 13 , 24 , 35 , _ , _ .

Now,

Common difference (d) = 2nd term - 1st term. = 13-2 = 11

When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.

Now, let's find the nrh term of the sequence.

nth term= a1 + (n-1)d ( a1= 1st term, d= common difference)

nth = 2+ (n-1) 11

= 2 + 11n - 11

= 11n - 9

Let's check if we have got nth term correct.

a1= 1*11 - 9 = 2

a2 = 2*11-9 = 13

a3 = 3*11 - 9 = 24

a4 = 4*11-9 = 35

So, we got our nth term.

Let's find remaining sequence.

a5= 5*11 - 9 = 46.

a6= 6*11 - 9 = 57.

Therefore, the remaining terms are : 46 and 57.

Hope it helps...

2+11=13

13+11=24

24+11=35

35+11=46

46+11=47

Answer:

[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=-4^{x-2}[/tex]

And we want to convert this to the exponential form:

[tex]f(x)=ab^x[/tex]

First, using the power of a product property, we can rewrite our function as:

[tex]f(x)=-(4^x\cdot4^{-2})[/tex]

By evaluating the second term, we acquire:

[tex]\displaystyle f(x)=-\big(4^x\cdot \frac{1}{4}^2}\big)=-\big(4^x\cdot \frac{1}{16}\big)[/tex]

So, by rearranging, we acquire:

[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]

As desired.

Answer:

your answer is 0

Step-by-step explanation:

0 times anything is 0

anything times 0 equals 0

Answer:

5:3

Step-by-step explanation:

Black puppies: 3

Total Puppies: 8

8-3=5

Brown Puppies: 5

Black Puppies: 3

Answer: 20 questions

Step-by-step explanation:

Answer:

15/x*100=75

75/100*15=x

x=20

total no. of questions