If the probability that a student in school wears contacts is 0.38 and the probability that a student in the same school has a car is 0.42, what is the probability that a student wears contacts and has a car?

Answers

Answer 1

Answer:

Probability [Student wears contacts and has a car] = 0.1596

Step-by-step explanation:

Given:

Probability [Student in school wears contacts] = 0.38

Probability [Student in the same school has a car] = 0.42

Find:

Probability [Student wears contacts and has a car]

Computation:

P[A and B] = P(A) × P(B)

So,

Probability [Student wears contacts and has a car] = Probability [Student in school wears contacts] x Probability [Student in the same school has a car]

Probability [Student wears contacts and has a car] = 0.38 x 0.42

Probability [Student wears contacts and has a car] = 0.1596


Related Questions

The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70

Answers

Answer:

c. 60

Step-by-step explanation:

in the table :

x = 12 , y = 12×25=300

on the graph :

x= 12 , y = 12×30=360

so, the difference is 360-300 = 60

In table

Rate of change

(125-100)/(5-4)25

Whne x=12

y=12(25)=300

In graph

Rate of change

(120-60)/230

When x=12

y=12(30)=360

Difference

360-300=60

At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?

Answers

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Put n = 25 and r= 6, we get

[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]

Hence, there are 177100 possible groups.

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Answers

Answer:

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.

Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Step-by-step explanation:

If 5x + 2 = 17, then 12x =____?

Answers

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

Answer:

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 3

Therfore, 12x = 12 (3) = 36

please please help me!!

Answers

Hey you can go on Gauthmath it will have more people online to help you

Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?

Answers

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1

Answers

Answer:

12y = -7

Step-by-step explanation:

Note: Angles not necessarily drawn to scale​

Answers

Answer:

for finding x

x+133=180(being linear pair)

x=180-133

x=47 degree

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

→ Work out APD

133°

→ Find the sum of APC and DPB

360 - ( 133 + 133 ) = 94

→ Divide the answer by 2

94 ÷ 2 = 47°

please help me out with this equation!
i will mark you as brainliest

Answers

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

Answer:  -19, -15, -9, -1, 9   (choice A)

===================================================

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.

Answers

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

I need help. Please someone help. .......................................................................................................

Answers

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

HELP ME!! First to answer gets brainiest!!!

Answers

Answer:

11 1/5 minutes

Step-by-step explanation:

All you have to do is add up all the songs together.

3 1/2 = 3 30/60

2 57/60= 2 57/60

4 3/4 = 4 45/60

Add this all up

9 132/60

11 12/60

11 1/5

11 1/5 minutes

If this helps please mark as brainliest

Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

hey! i’ll give brainliest please help

Answers

Answer: C

Explanation: A simple sentence consists of only one clause, with a single subject and predicate.

g(r)=25−3rg,
what does g(4) equal?

Answers

Answer:

g(4)= 25-12g

Step-by-step explanation:

g(r)= 25-3rg

g(4)= 25-3(4)g

g(4)= 25-12g

Answer:

13

Step-by-step explanation:

Khan

The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.

Answers

Answer:

1.x=90 degrees

2.smaller angles =30

3.larger angles =(30×2)=60

Step-by-step explanation:

Complement angle=90 degrees

90/3 (because need to separate into 3 parts) =30 degrees

1part =30 degrees

1:2

(1×30):(2×30)

30:60

use logarithm table to solve (0.7634)^4​

Answers

Answer:

[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]

HELPPPPP PLEASEEEE HELPPPPP HELPPPP HELPPPPPPPPP

Answers

Answer:

x = 6

m∡ABC = 135°

Step-by-step explanation:

∡ABE ≅ ∡CBD therefore we can create the following equation:

3x + 27 = 45

3x = 18

x = 6

∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC

180 - 45 = m∡ABC

m∡ABC = 135°

What is the length of CD?
Round to one decimal place.

C
5.6
4
A
B
D
5.1

Answers

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=

Answers

Answer:

Step-by-step explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and  y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

     = -17(x - 1)² + 0

     = -17x² + 34x - 17

ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?

Answers

Answer:

I got 45

Step-by-step explanation:

so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.

Answer:

Formula of trapezoid:

B1(base 1) + B2(base 2) x Height(h) x 1/2

Area of Trapezoid:

10(base 1) + 6(base 2) = 16

16 x 5 = 80

80 x 1/2 = 40

The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?

Answers

Answer:

2,000 cubic centimeters

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

[tex]v = \frac{b}{p}[/tex]

where b = constant of proportionality

5000 = b / 200

b = 5000 x 200 = 1,000,000

v = 1,000,000 / 500

v = 2000

12) What value of x makes : f(x) = 30

Answers

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

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Answers

Answer:

take out x+60 and = x+54 cross multiply for starters

B. The sum of 3 and a number is -2, what is the number?

Answers

theeeeeeeee answer is -5

how do i find the unit rate?

Answers

U can find the unit rate by looking where is the point so in that pic the unit rate I see is: 3/5

What is the value of the expression below?

Answers

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

What is m<1?

A. 21°
B. 23°
C. 24°

Answers

Hi there!

[tex]\large\boxed{\text{B. }23^o}[/tex]

According to a circle theorem:

m∠1 = 1/2(a - b) where a and b are angles.

Thus:

m∠1 = 1/2(94 - 48)

Simplify:

m∠1 = 1/2(46) = 23°. The answer is B.

does anybody know how to solve this problem?

Answers

Answer:BC=68

DE=36

CE=34

Step-by-step explanation:

Since  D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.

Please help me I don’t understand it and I really need help.

Answers

Answer:

b

Step-by-step explanation:

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