Slope -2/3 through (-9,10)

Answer:

0.769296

Step-by-step explanation:

The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).

The pdf of binomial distribution is

P(X=x)=nCx(p)^x(1-p)^(n-x)

P(X>5)=1-P(X≤5)

P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223

P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423

P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057

P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673

P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632

P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287

P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287

P(X≤5)=0.769296

P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in

P(X≤5)=0.769296.

The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928

We are told that 20% of adults in the US save nothing for retirement. Thus;

p = 20% = 0.2

21 adults are selected randomly. Thus;

n = 21

Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;

P(X = x) = nCx × p^(x) × (1 - p)^(n - x)

Thus;

P(X > 5) = 1 - P(X ≤ 5)

Where;

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =

0.009223

Using online binomial probability calculator, we can find the remaining as;

P(X = 1) = 0.048423

P(X = 2) = 0.121057

P(X = 3) = 0.191673

P(X = 4) = 0.215632

P(X = 5) = 0.183287

Thus;

P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287

P(X ≤ 5) = 0.760072

Thus;

P(X > 5) = 1 - 0.760072

P(X > 5) = 0.239928

Read more about binomial probability distribution at; https://brainly.com/question/24239758

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

Answer:

nnnnnnnnnnknbiibbs

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, find how many beats are in a minute by creating a proportion:

[tex]\frac{11}{5}[/tex] = [tex]\frac{x}{60}[/tex]

Cross multiply and solve for x:

5x = 660

x = 132

So, there are 132 beats in one minute.

This means the constant of proportionality is 132.

The proportional relation is y= 2.2x

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Neena counts 11 beats in 5 seconds

So, x=11 and y=5

Using the proportionality

y = k x

k= y/x

k= 11/5

k= 2.2

Hence, the proportional relation is y= 2.2x

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer: 0.9147

Step-by-step explanation:

Given: 20% of the plants ordered are petunias.

Let p = 20% = 0.2

Sample size: n = 120

If they follow normal distribution, then mean = np = 120x 0.2 = 24

Standard deviation = [tex]\sqrt{n p(1-p)}=\sqrt{120\times0.2\times.8}[/tex]

[tex]=\sqrt{19.2}\\\\ =4.38[/tex]

The  probability that no more than 30 plants are petunias : [tex]P(\dfrac{X-\mu}{\sigma}\leq \dfrac{30-24}{4.38})[/tex]

[tex]=P(Z<1.37)= 0.9147[/tex]

Hence, the probability that no more than 30 plants are petunias = 0.9147

Answer:

they can handle the costs of providing essential services

Step-by-step explanation:

A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.

Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.

An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.

Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,

Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.

Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5

Answer:

Neither

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

since it is a equilateral triangle, every angle is 60.

so 180-60=120, thus giving how much 5x-30 is.

5x-30=120

150=5x

30=x

hope i helped!!!

Answer:

50 cent

Step-by-step explanation:

Given that :

Cost of energy = $0.068 per kilowatt-hour (kWh)

Number of bulbs = two 10 watt bulbs

Converting the power of the bulb to kilowatt :

2 * 10watt = 20 watt

1000 watt = 1 kilowatt

20 watt = x

1000x = 20

x = 20/1000

x = 0.02 kW

Cost of Energy consumed by bulb 1 hour for 365 days :

0.02kW * 1 * 365 * $0.068 = $0.4964

$0.4964 to cent

100 cent = $1

$0.4964 * 100 = 49.64 cent

49.64 = 50 (nearest cent)

Answer:

Its True

Step-by-step explanation:

Just put in False and got it wrong.

Answer:

25, 27, 29, 31.

Step-by-step explanation:

25+27+29+31= 112

-3.7 is greater than -3.8, but is it not less than of equal to -3.8

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Answer:

123.8 units

Step-by-step explanation:

The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.

Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]

[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units

[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.

[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]

[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]

[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]

[tex] \overline{BC} = 15.8 units [/tex]

[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units

[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units

[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units

[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units

Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units

Answer:

1.Subtract the absolute value of the decimal.

2. Add the negative number to the positive number.

3. Add the opposite of the negative number to the positive number.

Step-by-step explanation:

When dealing with the subtraction of negative fractions from positive decimals, the steps to follow are subtracting the absolute values of the decimals. Adding all negative numbers to the positive numbers and lastly adding the opposite positive numbers to the negative numbers.

Answer:

D

Step-by-step explanation:

Answer:

y=7/8x

Step-by-step explanation:

You use y2-y1/x2-x1 so we plug in the numbers into the equation

-9-(-2)/-10-(-2)=7/8

y=7/8x if in slope-intercept form

Answer:

28.307

Step-by-step explanation:

:)

hope this answers your question.

Answer:

Step-by-step explanation:

Answer: -0.7

Step-by-step explanation:

Answer:

im deaf and i can't see

Step-by-step explanation:im - deaf - and - i - cant - see

Answer:

c

Step-by-step explanation:

c/2-d

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

[tex]A_x=-10 \\A_y = 8[/tex]

We are supposed to find  What angle does this vector make with the positive x axis

[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]

Now ,

[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]

So, this vector make an angle of 141° with the positive x axis

Answer:

2A. 2x-7 =3

B. Subtraction property

3A. 2x = 10

B. Addition property

4A. x=5

B. Division property

Answer:

3=3y4/i94 =78

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

$125 + $60 - $7 + $40 - $3

Answer:

D

Step-by-step explanation:

(-1) + (-1) = -2... so 500 times... it would be -500.

Answer:

I think it's "B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60", if I did it correctly.

Answer:

147 yards

Step-by-step explanation:

Use a system of equations

Let x be length of rectangle and y be width of rectangle

x = 3y

2x + 2y = 56

Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.

Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.

Area is length times width, so area is 21 * 7 = 147

Answer:

area= 147 yd

Step-by-step explanation:

l= 21 yd

w= 7 yd

Formula: a=lxw (area=length x width)

a=21 x 7

21 x 7=147 yd