Kimberly is a program director for the channel KID. She tracked the cartoons shown on the channel for a week. The probability that the show had animals in it was 0.7. The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?

Answers

Answer 1
Answer:

Options

  • 0.7+0.2−0.4=0.5
  • 0.7+0.2=0.9
  • 0.7+0.4=1.1
  • 0.4+0.2=0.6
  • 0.7+0.4−0.2=0.9

Answer:

(E)0.7+0.4-0.2=0.9

Step-by-step explanation:

In probability theory

P$(A or B)=P(A)+P(B)$-$P(A and B)

Let the event that the show had animals in it = A

P(A)=0.7

Let the event that the show aired more than 10 times =B

P(B)=0.4

P(A and B)= 0.2

P$(A or B)$=0.7+0.4-0.2=0.9

Therefore, the equation which  shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times is:

0.7+0.4-0.2=0.9

The correct option is E.


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For f(x) = 0.01(2)x, find the average rate of change from x = 2 to x = 10.Select one:
a. 1.275
b. 8
c. 10.2
d. 10.24

Answers

Answer:

1.275

Explanation:

The given equation is:

f(x) = 0.01(2)ˣ

We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.

We start by getting the y-values for each of the given x-values:

at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)

at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)

Now, we get the slope as follows:

slope = (y_(2)-y_(1))/(x_(2)-x_(1))   = (10.24-0.04)/(10-2)  =(10.2)/(8) =1.275

Hope this helps :)

Answer: a. 1.275

Step-by-step explanation:

Let f(x) be any function.

Then the average rate of change from x= a to x= b is given by :-

k=(f(b)-f(a))/(b-a)

The given function : f(x) = 0.01(2)^x

Then, the average rate of change from x = 2 to x = 10 will be :-

k=(f(10)-f(2))/(10-2)

=(0.01(2)^(10)-0.01(2)^(2))/(8)\n\n=(0.01(1024)-0.01(4))/(2)\n\n=(10.24-0.04)/(2)\n\n=(10.20)/(8)=1.275

Hence, the average rate of change from x = 2 to x = 10 is 1.275.

I will mark you brainliest
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Answers

21

dhhdhdbdhjdjdjjdjehhehd

A valid conclusion for the quadratic equation x2 - 6x + 8 = 0

Answers

Answer:

(x-4)(x-2)

Step-by-step explanation:


How many groups of 7 are in 21?

Answers

There are 3 groups of 7 in 21.

To find that divide 7 from 21
3. You would divide 7 by 21 and get 3

WILL GIVE BRAINLIEST IF CORRECT!!How many different 7-digit positive integers exist? (Note that we don't allow "7-digit" integers that start with 0, such as 0123456; this is actually a 6-digit integer.)

Answers

Answer:

There are 9,000,000 seven-digit positive integers.

Explanation:

For the first digit, we have 9 choices: 1, 2, 3, 4, 5, 6, 7, 8, 9.

For each remaining digit, we have 10 choices: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Each choice is independent of the others. So, the number of total 7-digit positive integers is the product of all the numbers of choices for each digit.

hope it helps

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Since 0 cannot be put as the first digit, there are 9 choices for the first digit, and the next 6 digits have 10 choices. So, there are 9 × 10^6 = 9000,000 numbers.  

Please help me 32 = –14c

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact form :

C = -16/7 (16 over 7 in fraction form)

Mixed number :

C= -2 2/7 ( -2 and 2/7 is fraction)
the answer is 32..........