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:

x is the sidelength of the square;

f(x) = x^(2)

8100 = x^(2)

90 = x

Answer:4(3x +2)

Step-by-step explanation:

The expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each is  4(3x + 2).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The total cost to go horseback riding is a dollar per hour plus a $2 fee for renting a helmet.

Let, The number of hours is represented by 'x'.

Therefore, The cost of riding with a helmet is,

= x + 2.

The cost of riding for 3 hours is 3x + 2 and the cost for 4 people is doing the same is, 4(3x + 2).

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

Answer:

i think its j

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of circle that passes through origin is given by

And the given circle passes through (-8,0).

Substituting -8 for x and 0 for y, we will get

Answer:

1. 50℅

2. 25℅

3. 60℅

hope it helps.

Answer:

Below.

Step-by-step explanation:

1. Divide 15 by 30 which is  1/2.

Then multiply 1/2 by 100 = 50%.

2.  3/12 = 1/4

1/4 * 100 = 25%

3.  6/10 = 0.6

0.6 * 100 = 60%.

Answer:

A. 8 3/4

Step-by-step explanation:

2 1/2 x 3 1/2 =

5/2 x 7/2 =

35/4 =

8 3/4

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

18 money will he make for 2 hours of babysitting work

A relation is a function if it has only One y-value for each x-value.

Given,

function f(x) = 4x + 10

The function models the amount of money Francis makes when babysitting for x hours.

We need to find the money he make for 2 hours of babysitting work.

To find this we just need to plug in x value as 2 in function

f(2)=4(2)+10

=8+10

18

Hence, 18 money will he make for 2 hours of babysitting work

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ6

Answer:

11 ALSO SOMEONE PLS ANSWER MY QUESTION

Step-by-step explanation:

24+24=48

70-48=22

22/2=11

(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ))

Recall that

tan(θ) = sin(θ) / cos(θ)

so cos²(θ) cancels with the cos²(θ) in the tan²(θ) term:

(sin²(θ) - 1) / (1 + cos(2θ))

Recall the double angle identity for cosine,

cos(2θ) = 2 cos²(θ) - 1

so the 1 in the denominator also vanishes:

(sin²(θ) - 1) / (2 cos²(θ))

Recall the Pythagorean identity,

cos²(θ) + sin²(θ) = 1

which means

sin²(θ) - 1 = -cos²(θ):

-cos²(θ) / (2 cos²(θ))

Cancel the cos²(θ) terms to end up with

(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ)) = -1/2

Answer:

4825.49 mm^3

Step-by-step explanation:

V = (pi)(r^2)(h)

(pi)(8^2)(24) = 4825.48632 (round) 4825.49

hopefully this is right i haven't done cylinders in a while lol

Answer:

divide 19400000 and 51000

answer will be 380.39

Answer:

P= 2 (a+b)

Step-by-step explanation:

Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The value of angle [x] is equivalent to 44°.

We have a triangle as shown.

We know, the angles opposite to equal sides are equal.

So, we can write -

x + 68° + 68° = 180°

x = 180° - (136°)

x = 44°

Therefore, the value of angle [x] is equivalent to 44°.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ2

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:

m<1 = 60°

m<2 = 30°

m<3 = 90°

Step-by-step explanation:

Recall some properties of Rectangle. Thus:

The four angles of a rectangle are right angles = 90° each.

Opposite sides of a rectangle are also parallel to each other.

With the knowledge of these, we can solve for angles 1, 2, and 3.

Thus:

m<1 = 60° (alternate interior angles are congruent)

m<2 + m<1 = 90° (complementary angles)

m<2 + 60° = 90° (substitution)

m<2 = 30° (substraction property of equality)

m<3 = 90° (angle of a rectangle)

Answer:

155.3"^3

Step-by-step explanation:

the volume of a cone: 1/3 [tex]\pi[/tex]r^2 h

the volume of a right circular cone will be

1/3 [tex]\pi[/tex](5.1)^2 * 11.4

310.60 for a full circular cone.

for a right circular cone, we use 90/180 of the volume.

= 155.3

The volume of the cone is 121.8 in³.

A cone is a 3-dimensional shape that consists of a flat circular base and a tip known as the vertex.

Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h

Where:

π = pi = 22/7

r = radius

h = height

Volume =  [tex]\frac{1}{3}[/tex] x 22/7 x 5.1² x 11.4 = 121.8 in³

To round off to the nearest tenth, if the hundredth figure is greater or equal to 5, add to the tenth figure, if this is not the case, the tenth figure remains unchanged.

To learn more about how to determine the volume of a cone, please check: https://brainly.com/question/14273451

Answer:

c ) 7/3

Step-by-step explanation:

Answer:

a2+16

Step-by-step explanation:

Answer: I think the answer would be (2, -1)

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

3/4+1/4=4/4=1

1+ 1/2=1 1/2 cups

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

C is the midpoint of AE

D is the midpoint of BE

DC is given as 46

Remark

Triangle CED is similar to AEB by SAS for similarity

Therefore DC is 1/2 the size of AB

Solution

1/2 AB = DC

1/2 AB = 46          Multiply both sides by 2

AB = 2*46

AB = 92

Answer:

12 (who has 12 friends?)

Step-by-step explanation:

make the fractions, I think its called a denominator,  the same.

6/7 tums into 12/14

so if you give each friend 1/14 then you could feed 12 friends

this answer only works if you're not eating as well

Answer:

The measures of the angles are 16° and 164°.

Step-by-step explanation:

Let the smaller angle be x and the larger angle be 8x+36.

Supplementary angles add up to 180°.

Small angle + Large angle = 180°

x + 8x + 36 = 180

9x + 36 = 180

9x = 180 - 36

    = 144

x = 144 ÷ 9

x = 16

8x+36 = 8(16)+36

           = 164

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

Answer:

hen he deposited some more money and his account balance was $28.

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

254.47

Step-by-step explanation:

Answer:

h=416$

Step-by-step explanation:

36.50h+27.50h= 64

64x6 1/2=

416 $

Answer:

416

Step-by-step explanation:

36.50+27.50=64

64*6=384

and then add 32 for the half an hour

384+32=416

right 3 units down 5 units

[tex]f(x)=x^2[/tex]

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

[tex]g(x)=(x-3)^2-5[/tex]

Then convert the vertex form into standard form for the equation in the choice.

[tex]g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4[/tex]

Thus, the answer is B.