A class of 160 students contain 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students. From the entire group a student is chosen at random. What is the probability that the student is an honor student given that he is an athlete

1/2
1/3
1/8

Answer:

There are 72 spaces

Step-by-step explanation:

You would first have to do 27/3, which shows what 1/5 is. This would get you 9, then multiply that by 5 to find the amount of taken spaces. Add 27 and 45 to get 72 spaces.

Answer:

72 spaces in total

Step-by-step explanation:

If there are 27 empty spaces in a 3:5 ratio, that means that for every 3 spaces that are empty, there are 5 that are taken. We notice that there are 9 times of 3 spaces that are empty, so we must multiply 9 by 5 to get 45 spaces that are taken. We then add these up to get the total amount of spaces 27 + 45 = 72 spaces

Answer:

5) 1

6) 131

Step-by-step explanation:

5)

f(1) = -1 - 8 = -9

-9 + 10 = 1

6)

g(-9) = [tex]9^{2}[/tex] + 8(9) - 15 = 138

138 - 7 = 131

Answer:

Step-by-step explanation:

5.

f(x) = -x -8

substitute x with 1 in the equation of f(x)

f(1) +10 = -1 -8 +10 = -9 +10 = 1

6.

g(x)= x²+8x -15

g(-9) -7 = (-9)²+8(-9) -15 -7 = 81 -72 -22 = 81 - 94 = -13

Answer:

/_ b = /_ e

2x + 31 = 7x - 24

5x = 55

x = 11

Step-by-step explanation:

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

Answer:

The Answer Is 60

Answer:

60

Step-by-step explanation:

4 8 12 16 20 24 28 32 36 40 44 48 52 56 60

5 10 15 20 25 30 35 40 45 50 55 60

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60

Answer:

1752 ÷ 4 = 438

$438 is your answer

Answer:

Hello.

5(x-7)

5x-35

The equation is 5x-35.

Step-by-step explanation:

Answer:

The answer is 19/2.

Step-by-step explanation:

Alternatives are 9 1/2 and 9.5.

Brainliest? Thanks!

Answer:

3 and 2/5

Step-by-step explanation:

because when it says divide it means take away and the denominator is the same so it stays the same

Answer:

What are the outstanding traditional Chinese culture? Calligraphy, Chinese knot, Peking Opera facial makeup, shadow play, martial arts, the Terra Cotta Warriors, jade carving, oracle, four treasures, flute, zither, pipa, longfeng pattern, painted pottery, traditional Chinese painting, modest, courteous and simple basic spirit of Chinese traditional culture" The basic spirit of Chinese traditional culture, in essence, is the national spirit of the Chinese nation.

Answer:

The coordinates of ABC are respectively (-2,2), (-2,3), and  (1,2).

Step-by-step explanation:

Dilation About the Origin

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).

The coordinates of triangle ABC are:

A=(-4/2,4/2) = (-2,2)

B=(-4/2,6/2) = (-2,3)

C=(2/2,4/2) = (1,2)

The coordinates of ABC are respectively (-2,2), (-2,3), and  (1,2).

Answer:

The coordinates of ABC are  (-2,2), (-2,3), and  (1,2).

Step-by-step explanation:

9514 1404 393

Answer:

  see below for instructions

Step-by-step explanation:

You will need to do these constructions yourself. We cannot put marks on your paper for you.

The instructions below apply to part 3. A subset of the instructions applies to parts 1 and 2. The tools you need are a compass and a straightedge.

__

1. Draw line AB, and mark point X on it.

2. Choose a suitable radius for your compass and draw arcs with that radius centered at X. Label the points of intersection with line AB points E and G.

__

From here, the instructions are the same for constructing a perpendicular bisector of any segment. In what follows, we are construction the perpendicular bisector of segment EG. Thus, these instructions apply directly to parts 1 and 2. Points E and G will refer to the end points of the segment you are bisecting.

3. Set your compass radius to more than half the distance between points E and G.

4. Draw an arc centered at E that extends above and below the center of segment EG.

5. Using the same radius, draw arcs centered at G that cross the arc you drew in step 4. Label the points of intersection point P and Q.

6. Draw line segment PQ. This is the perpendicular bisector of EG. (For part 3, it will go through point X.)

__

In the attached, we show the "arcs" as full circles. They need not be. They only need to have sufficient length to make sure they cross where they need to cross.

Answer:

1 7/33

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

203÷112

Applying the fractions formula for division,

=20×23×11

=4033

Simplifying 40/33, the answer is

=1733

Answer:

[tex]P(x)=x^3+12x^2+45x+50[/tex]

Step-by-step explanation:

Roots of a polynomial

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]

Where a is an arbitrary constant.

We are given the following roots:

-5 multiplicity 2 (-5 twice)

-2 multiplicity 1

Thus, the polynomial is:

[tex]P(x)=a(x-(-5))(x-(-5))(x-(-2))[/tex]

[tex]P(x)=a(x+5)(x+5)(x+2)[/tex]

We are not given any clue about the value of a, so we choose a=1. Multiplying:

[tex]P(x)=(x^2+5x+5x+25)(x+2)=(x^2+10x+25)(x+2)[/tex]

[tex]P(x)=x^3+2x^2+10x^2+20x+25x+50[/tex]

Simplifying:

[tex]\mathbf{P(x)=x^3+12x^2+45x+50}[/tex]

Answer:

a

Step-by-step explanation:

acute

Answer:

100

Step-by-step explanation:

meal costs 80 dollars

ok

Angie paid 10%

ok

left 15% tip

ok

Ok so let's solve

80/100=0.8

now mutiply by 10

8

she paid 8$ sales tax

now get 0.8*15

12

she paid 12$ tip

total have to add now

12+8+80=100

Hope this helps

Answer:

The formula to determine energy is E = 1/2mw? What is the formula solved for v?

Step-by-step explanation:

The formula to determine energy is E = 1/2mw? What is the formula solved for v?

9514 1404 393

Answer:

  Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)

Step-by-step explanation:

Each of the individual coordinate values is multiplied by 3.

  (x, y) ⇒ (3x, 3y)

__

  Q(-2, 3) ⇒ Q'(-6, 9)

  R(-3, 1) ⇒ R'(-9, 3)

  T(2, -1) ⇒ T'(6, -3)

  W(2, 4) ⇒ W'(6, 12)

Answer:

9413

Step-by-step explanation:

Given that :

Error = $2 ; Standard deviation (σ) =99 ; α = 95% = 0.95

Zα/2 = Z0. 05/2 = 1.96 (Z probability calculator)...

n = sample size

Recall:

n = ((Zα/2 * σ) / Error)^2

Using the formular above, the sample size n can be obtained ;

n = ((1.96 * 99) / 2)^2

n = 97.02^2

n = 9412.8804

n = 9413

Answer:

true

Step-by-step explanation:

Reject the null hypothesis if the p-value is more than the significance level, a.

Answer:

Step-by-step explanation:

Let collections of my books=x

collection of books in my father =y

[tex]\frac{x}{5} +\frac{2}{3}y=250[/tex]

Answer:

$0.57

Step-by-step explanation:

.95 x .60 = .57

Answer:

The odds against Ishaq getting hired are 17:18

This means that are 17 scenarios where Ishaq does not get hired, out of 18 total scenarios.

This means that the left scenario is when Ishaq gets hired, then the odds of Ishaq getting hired is equal to 1:18.

a) We want to find the probability that Ishaq gets hired.

This will be equal to the quotient between the number of scenarios where Ishaq gets hired (1) and the total number of scenarios (18).

Then this probability is

P = 1/18 = 0.056

b) We want to find the probability where Ishaq does not get hired, we can use the same reasoning as above, this time we will take the quotient between the number of scenarios where Ishaq does not get hired (17) and the total number of scenarios (18).

P = 17/18 = 0.944

Given that,

Total number of snails shells and shark teeth = 60

The ratio of snail shells to shark teeth is 5:1

To find,

Total no of snail shells used by the Jeweler.

Solution,

Let there are 5x snail shells and x shark shells.

According to question,

5x+x = 60

6x = 60

x = 10

Snail shell = 5x

= 5(10)

= 50

Hence, he uses 50 snail shells.

Final Answer:

[tex]\frac{64}{3}[/tex]

Step-by-step explanation:

20 ÷ [tex]\frac{15}{16}[/tex]

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{15}{16}[/tex]

(reciprocal method):

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{16}{15}[/tex]

(change the operation to multiplication)

[tex]\frac{20}{1}[/tex] × [tex]\frac{16}{15}[/tex] = [tex]\frac{320}{15\\}[/tex]       (multiply, then reduce)

64/3 ⇒ 64/3

The value of x in the expression 20 divided by 15/16 will be 21.33 .

Given , 20 divided by 15/16

Division property:

The rules for division are:

(1) positive ÷ positive = positive

(2) positive ÷ negative = negative

(3) negative or ÷ negative = positive

Here both the numbers are positive. Apply rule 1.

20 divided by 15/16

[tex]\frac{20}{\frac{15}{16} }[/tex]

= [tex]\frac{20 \times 16}{15}[/tex]

= 21.33

Know more about division,

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The perimeter of the triangle if its two sides measure 6 inches and the other side measures 7 inches will be 19 inches.

According to the given question.

The measure of the two sides of a triange is 6inches each.

And the measure of the other side is 7 inches.

As we know that,a perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length or the perimeter of a shape is defined as the total length of its boundary.

Thereofre, the perimeter of the triangle if its two sides measure 6 inches and the other side measures 7 inches

= 6 inches  + 6 inches  + 7 inches

= 19 inches

Hence, the perimeter of the triangle if its two sides measure 6 inches and the other side measures 7 inches will be 19 inches.

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Answer:

120 ft

Step-by-step explanation:

Please review the full explanation below

Answer:

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

Step-by-step explanation:

Answer:

6,000

Step-by-step explanation:

500x12

Answer:

5

Step-by-step explanation: