MATHEMATICS HIGH SCHOOL

In an experiment, the probability that even A occurs is 0.2 and the probability that event B occurs is 0.5. If A and B are independent events, which statement is true?A.
P(A and B) = 0.1

Answers

Answer 1
Answer:

The probability of event A and event B will be 0.10. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In an experiment, the probability that event A occurs is 0.2 and the probability that event B occurs is 0.5.

If A and B are independent events. Then the probability is given as,

P(A and B) = P(A) x P(B)

P(A and B) = 0.2 x 0.5

P(A and B) = 0.10

The probability of event A and event B will be 0.10. Then the correct option is A.

More about the probability link is given below.

brainly.com/question/795909

#SPJ2

The missing options are given below.

A. P(A and B) = 0.1

B. P(A or B) = 0.1

C. P(A and B) = 0.7

D. P(A or B) = 0.7
Answer 2
Answer:

Answer:

oop

Step-by-step explanation:

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For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

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Answer:

7 Vans will be needed

Step-by-step explanation:

In one month, Jason earns $32.50 less than twice the amount Kevin earns. Jason earns $212.50. How much does Kevin earn?

Answers

Answer:

Kevin earns $122.5 a month.

Step-by-step explanation:

First we sum, 212.5 + 32.5 = 245 which is twice the amount of $ Kevin makes in a month, so we divide by 2, 245/2 which is 122.5

How does changing the function from f(x) = 2 sin 4x to g(x) = 2 sin 4x + 3 affect the range of the function? The function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x). The function shifts up 3 units, so the range changes from −1 to 1 in f(x) to 2 to 4 in g(x). The function shifts up 4 units, so the range changes from −2 to 2 in f(x) to 2 to 6 in g(x). The function shifts up 4 units, so the range changes from −1 to 1 in f(x) to 3 to 5 in g(x).

Answers

Answer:

Step-by-step explanation:

Consider the parent function

f(x) = sin 4x has range as -1 to 1

When sin4x is multiplied by 2, we have range changes to -2 to 2

When the graph is shifted up by 3 units we get

range changes minimum from -2 to -2+3=1 and maximum as 2+3=5

So range is in the interval

[1,5]

Option

he function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x)is right

The function shifts up 3 units, so the range changes from -2 to 2 in f(x) to 1 to 5 in g(x).

(n-3)(n-5)what's the equivalent

Answers

Lets expand the expression using the FOIL method
FOIL=First,Outer,Inner,Last

We'd start by multiplying the first numbers in each parenthesis by eachother:

(n-3)(n-5)
n*n=n²

Now the outer two values...

(n-3)(n-5)
-5n

The inner two values

(n-3)(n-5)
-3n

And the last two values
(n-3)(n-5)
-3*-5=15

Now just put all of the expressions together...

n²-5n-3n+15
simplify
n²-8n+15

Answer=n²-8n+15

Find the arc length of AB. Round answer to nearest tenth.

Answers

Answer:

9.8 inches

Step-by-step explanation:

The formula for arc length is (θ/360)2πr

This is where θ represents the measure of the central angle in degrees,

and r represents the radius of the circle.

This said, we can plug our values in.

(80/360)2π7

Simplify.

(2/9)14/π

28/9π

9.7738438112

Round to nearest tenth.

9.8

Answer:

9.8 inches

Step-by-step explanation:

Set up a proportion:

central angle / 360  = arc length / circumference

(80)/(360) = (x)/(14\pi )

360 divided by 14pi is about 8.2, so divide 80 by 8.2 to find x.

x = 9.8 in

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Answers

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