Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that [tex]p = 0.77[/tex]

A random sample of six husband-wife families was selected.

This means that [tex]n = 6[/tex]

What is the probability that five or more families have life insurance?

This is

[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]

[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]

0.5819 = 58.19% probability that five or more families have life insurance

Answer:

31hr

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

four and eight are both factors of 8.

Answer: 5

Step-by-step explanation:

creo que es 231 en total :7-2:al 231

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9

Answer:

5.5%

Step-by-step explanation:

the pizza is free 5.5 so he need to deliver the pizza on time

Answer:

X would most likely be 10

Step-by-step explanation:

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

Answer:

))))))

Step-by-step explanation:

43+2(3-2)=43+2*3-2*2=43+6-4=45

Answer:

45

Step-by-step explanation:

43 + 2(3-2)

43 +2 (1)

43 + 2

45

Step-by-step explanation:

After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.

Hence our exponential base should be 0.92, indicating exponential decay. (A)

Answer:

after each year the new population of the lions

is 100% - 8% is equals to 92% of the population of the lion year before

Hence our exponential base should be 0.92 (A)

Answer:

A

Step-by-step explanation:

so the perimeter is the sum of all the sides which would be

(5x+1)+(6x-10)+(6x+2)

= 5x+1+6x-10+6x+2

=17x-7

which is A

if my answer helps please mark as brainliest.

Answer:

 I think its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

72 does not equal 64x8.

Hope I helped!

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

Answer:

Answer: 52.4 percent

Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.

Answer:

x = -6 and y = -1

Step-by-step explanation:

Answer:

[tex]16\sqrt{3}[/tex], so therefore:

none of the above

Answer:

Step 1,                 4=3(d+1)-5   should be 4=3d+3-5

Step-by-step explanation:

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

Answer:

24.5 inches

Step-by-step explanation:

area of trapezoid: (b1 + b2 /2) h

Answer:

Step-by-step explanation:

you will need to do:

j/9*2=2j/9

Answer:

x=110

y=70

Step-by-step explanation:

sddefgyuikohffuioo

answer is 11 boy now enjoyyyyyyyyy

Answer:

Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED

9514 1404 393

Answer:

  the numbers are -10 and -11

Step-by-step explanation:

Let x represent the second number. Then the first number is x+1, and the relation can be written ...

  5(x+1) = 4x -6

  x = -11 . . . . . . . . subtract 4x+5

The first number is -10; the second number -11.