Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)

Answer:

50+90+3x+1=180.....................

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

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

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

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

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

1) 5x+2=17

2) 5(2+x)=17

Step-by-step explanation:

1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3

2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5

Hope this helps!

Answer: 180 students

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because the y-intercept is -3

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.

Answer:

The area of a rectangle is A=l x w.

So, 200=10 x w

Divide both sides by 10.

20 = w

The width of the rectangle is 20 m.

:)

Answer:

3 × 27

=81

mark BRAINLIEST pls

Answer:

The mileages for which company A charge less than company B when , y  50 .

Step-by-step explanation:

Given as :

The two truck companies have following prices

Company A

The initial fee = i = $110

And unlimited mileage

Company B

The initial fee = I = $65

Additional charge = $0.90 per mile driven

Let it driven x mile

Let The mileages for which company A charge less than company B = y

Now, According to question

Charges of company A = charges of company B

i.e i = I + 0.90 × x

Or, $110 = $65 + 0.90 × x

Or, $110 - $65 = 0.90 × x

Or, $45 = 0.90 × x

∴    x =  

i.e  x = 50

i.e.  Company B driven x = 50 miles

So, the mileages for which company A charge less than company B = y

And y x

i.e. y 50

Hence, The mileages for which company A charge less than company B when, y 50. Answer

Step-by-step explanation:

Hope this helps:)

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

Answer:

x= 7

Step-by-step explanation:

1. Add 6 to both sides

2. simplify

3. Divide by the same term

4. simplify

Answer:

7

Step-by-step explanation:

3x7=21

= 21 - 6 = 15

I hope you find it helpful ..

Good luck

Answer:

18/4 Is it correct?

Step-by-step explanation:

4.25

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

Answer:

x = 9

Step-by-step explanation:

y = (2/3)x - 6

y coordinate is 0

0 = (2/3)x - 6

Add 6 to both sides

6 = (2/3)x

multiply both sides by 3/2

9 = x

x = 9

Answer:

A is the correct answer because all sides are congurent

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Option D is the correct answer.

We have,

Parallelograms have several notable properties:

Opposite sides are parallel:

In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.

Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.

Opposite angles are congruent:

The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.

- Consecutive angles are supplementary.

- Diagonals bisect each other.

- Diagonals create congruent opposite triangles.

- Diagonals create equal opposite angles.

Thus,

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ2

Answer:

C: 4

Step-by-step explanation:

We can rearrange the numbers:

[tex]-16+20=+20-16=20-16=4[/tex]

Answer:

C. 4

Step-by-step explanation:

-16+20 equals 4 becase:

-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!

Thank You! Please Mark Me Brainliest!

Answer:

0.38 < 0.70

Step-by-step explanation:

Answer:

Less then a right angle

Step-by-step explanation:

It’s can’t be equal (looks at other examples of a right angle)

It can’t be more since that would bve more then a right angle and it certainly isnt more

it can only be less

Answer:

I honestly don't know why you are on this if your in 4th grade because this is for middle, high, and college school kids.

Answer:

2 divided by 834 is 1/417 or 417

Step By Step Explanation:

Why is a fourth-grader even on a website for middle, high school, and college...

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

Hello!

First, let's write our equation in point-slope form.

Point-Slope Form:

y-y1=m(x-x1)

y1= the y-coordinate of the point

m=the slope

x=the x-coordinate of the point

y-2=1/3(x-(-5)

y-2=1/3(x+5)

y-2=1/3x+5/3

y=1/3x+5/3+2

y=1/3x+3.7

Hope it helps.

~A smiley teen

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

Answer:

Step-by-step explanation:

opposite corners first, then adjacent corners, and so on

Answer:

2

Step-by-step explanation:

$ 1.55 + $1.65 = $3.11

the budget is $7.95

$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2

We want to answer different things regarding linear equations.

The answers are:

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:

343

Step-by-step explanation:

[tex]7^{3} = 7 * 7 * 7[/tex]

[tex]7^3 = 343[/tex]

-Chetan K

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

2 + x = -19 <=> x = -19 -2 = -21

Answer:

28 +3 +2+4+12=49

49÷5=9.8