A certain company estimates the reading level of particular books in terms of the minimum grade level of student whom they expect to be able to read and comprehend the book. The box plots below show the reading levels estimates of the top ten novels selected by a survey of young adults in 2012 and 2015.

Answer:

12.5%

Step-by-step explanation:

Total card = 52

Total number of red card = 26

So, Probability of first card is red = [tex]\frac{26}{52}[/tex] or [tex]\frac{1}{2}[/tex]

Total number of diamond card = 13

So, probability of second card is diamond =  [tex]\frac{13}{52}[/tex] or [tex]\frac{1}{4}[/tex]

So, probability that the first card is a red card and the second is a diamond can be calculated as follows,

Probability(first card, second card) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex] or 0.125

Probability(first card, second card) = 0.125 or 12.5%

[tex](5 x + 1)( {x}^{2} + 8x + 3) \\ 5 {x}^{3} + 40{x}^{2} + 15x + {x}^{2} + 8x + 3 \\ 5 {x}^{3} + 41 {x}^{2} + 23x + 3[/tex]

hope it helps you ❣❣

Answer:

Compounded weekly

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

All other answer choices involve the variable 'b' and/or are tied to it in some way. The sole number 4 has no connection to the variable b, therefore it is C. 4.

Answer:

x=38

Step-by-step explanation:

Vertically opposite angles are equal, therefore equate the 2 angles opposite each other.

2x+5=3x-33

2x-3x= -33-5

-x= -38

x=38

Answer:

Because they are vertical angles:

(2x +5) = (3x-33)

combine like terms

5= x-33

x= 38

Step-by-step explanation:

hope this helps you

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

Answer:

26 1/2 (C)

Step-by-step explanation:

Turn the mixed number into a improper fraction and turn 6 into a improper fraction

6/1*53/12

Cross Multiply 6 can into 12 twice

1/1*53/2

Just Multiply

53/2

Turn into a Mixed Number

26 1/2

Hope this helps!!!

Have a great day!!!! :)

Answer:

r = -33

Step-by-step explanation:

-r/3 = 11

Multiply each side by -3 to isolate r

-3 * -r/3 = 11 * -3

r = -33

Answer:

512 ft³

Step-by-step explanation:

The volume of a cube is (cube's side length)³, so this one would have a volume of 8³ = 512 ft³

Answer:

x=8

Step-by-step explanation:

x+6=2x-2

8=x

Answer:

-156250

Step-by-step explanation:

The pattern is multiplying by -5.

2, -10, 50, -250, 1250, -6250, 31250, -156250

Answer:

x is field trips last year

(X x 3) + 1 +t

2

Answer:

64. f(5) = 5(5) - 6 = 19

65.

66.

Answer:

$94.44

Step-by-step explanation:

S=r-rR

plug in the numbers:

68=R-0.28R

68=0.72R

Divide by 0.72

R=$94.44

Step-by-step explanation:

4 -0 / -1 - -3.

4/2 = 2

m = 2 (slope)

Answer:

£32

Step-by-step explanation:

10% of 320 = 32

Calculate a percentage based on 2 numbers.

For example: 32/320 = 10%

Answer:

Step-by-step explanation:

Let the number of small boxes = x

and the number of large boxes = y

Total number of boxes = 24

Therefore, equation will be,

x + y = 24 ------ (1)

Since, volume of the smaller boxes = 9 cubic feet

And the volume of larger boxes = 24 cubic feet

Therefore, total volume of the boxes = (9x + 24y)

Since combined volume of all boxes = 441 cubic feet

Therefore, equation will be,

9x + 24y = 441 ------ (2)

Answer:

72

Step-by-step explanation:

The answer is 72 my friend

what is your question then?

Answer:

wow that's a lot of rain

Step-by-step explanation:

(It falls at a rate of 2/3 of an inch per hour if that's what you were having trouble with??)

Answer:

Yes, it is

Step-by-step explanation:

When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle.

Answer:

Step-by-step explanation:

[tex] = 8 \frac{1}{4} \times 10 \frac{3}{4} [/tex]

[tex] = \frac{33}{4} \times \frac{43}{4} [/tex]

[tex] = \frac{1419}{4} [/tex]

[tex] = 354 \frac{3}{4} \: \: feet[/tex]

Answer:

[tex]\frac{2-s}{4}=r[/tex]

Step-by-step explanation:

One solves a literal equation just like a normal algebraic expression with numbers, with inverse operations. Only that with a literal equation, there is a limit to how much one can simplify.

Inverse operations;

2 = 4r + s

-s         -s

2 - s = 4r

÷4       ÷4

[tex]\frac{2-s}{4}=r[/tex]

Answer:

It is not.

Step-by-step explanation:

For XY to be a tangent XY must be perpendicular to radius at point of contact with circle (X).

Perpendicular also means 90° angle between XY and radius.

90° angle means XYZ should be a right angled triangle

Test for right angle triangle: pythagoras theorem.

3.6²+2.7²≠1.8²

Hence not right angled. XY not a tangent.

The Pythagoras theorem is not applicable thus it will not be tangent to the circle Z.

The tangent of a circle is a line that intersects the circle at the periphery of the circle.

If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.

If XY is tangent to the circle then ∠YXZ = 90° so ΔXYZ will be a right angle triangle.

Apply Pythagoras' theorem,

1.8² ≠ 3.6² + 2.7²

Since it is not satisfied thus angle X will be not 90 degrees thus XY will not tangent to the circle Z.

Hence "Since the Pythagorean theorem does not apply, it will not be tangent to the circle Z".

For more information about the tangent of the circle,

brainly.com/question/23265136

#SPJ2

Answer:

B.

NAME THE ARC THE INTERCEPT

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation: