150 into the ratio 4:11

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:

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Step-by-step explanation:

We are given that

Height of crest, h=108 feet

Time for one cycle, T=1.9 s

We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.

We are given

[tex]y=Asin(\omega t-\phi)+B[/tex]

Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]

[tex]B=A+4=52+4=56 feet[/tex]

[tex]\omega=\frac{2\pi}{T}[/tex]

Using the formula

[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]

We assume,

Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]

Substitute the values

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Hence, the  sinusoidal function  that models the motion of the coaster train during this run starting at the top of a hill is given by

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Answer:

X would most likely be 10

Step-by-step explanation:

Answer:

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

none of the above

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:

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:

x = -6 and y = -1

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

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

Answer:

 I think its B

Step-by-step explanation:

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:

False.

Step-by-step explanation:

72 does not equal 64x8.

Hope I helped!

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:

x=23

Step-by-step explanation:

132+128+4x+2+5x-11+4x-10=540

13x+241=540

13x=540-241

13x=299

x=23

Answer:

store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125

Step-by-step explanation

6.96 x 40 gives you 278.4

325 - 20% gives you 260

325 divided by 40 gives you 8.125

then to check your answer you multiply 40 and 8.125 and it gives you 325

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

Answer:

158 m²

Step-by-step explanation:

I made this into 3 rectangles.

Figure 1:

9•8=72

The 9 is from the 13 m side, but I've taken 4 m off from the overlapping square.

Figure 2:

6•7=42

The 7 is from the 10 m side, but I've taken 4m off from the overlapping square again.

Remaining Area:

If you extend the lines into figures 1 and 2 from the top left corner and bottom right corner vertically, you will get a rectangle that is (11 m) x (4 m). This is not yet accounted for.

11•4=44

Add together: 72 + 42 + 44 = 158

*Note: You could also find the area of the squares a much easier way by subtracting the overlapping part after finding the area of both figures , but this is how I did it*

Answer:

0.5p < 6.50

p < 13

Step-by-step explanation:

The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.

Answer:

Madison can buy 13 pounds of patatoes.

Step-by-step explanation:

You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.

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:

5.5%

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

Answer:

r = 1 , 0

Step-by-step explanation:

-7[tex]r^{2}[/tex] + 7r + 2 = 2

-7r(r-1)=2-2

-7r(r-1)=0

r-1=0

r=1

Step-by-step explanation:

I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree

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:

))))))

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