A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.

Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.

For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, 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:

The probability of one of each is P(X = 1), hence:

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

[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]

0.5 = 50% probability of selecting a two-child family with one boy and one girl.

A similar problem is given at https://brainly.com/question/24863377

Answer:

Step-by-step explanation:

y - 4 = 7(x - 1)

y - 4 = 7x - 7

y = 7x - 3

According to her study, we have that:

At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:

[tex]H_0: p = 0.32[/tex]

At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:

[tex]H_1: p > 0.32[/tex]

A similar problem is given at https://brainly.com/question/25679468

Answer:

x=4

Step-by-step explanation:

11x - 2(x + 3) = 30

distribute: 11x-2x-6=30

add like terms: 9x-6=30

add 6: 9x=36

divide by 9: x=4

Answer:

x = 4

Step-by-step explanation:

11x - 2(x +3) = 30

11x -2x - 6 = 30

11x - 2x = 30 + 6

9x = 36

9x/9 = 36/9

x = 4

Answer:

a

Step-by-step explanation:

just took the test

Answer:

i dont have a premium

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

D is the right answer.

remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.

the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.

these 2 facts make D the right answer.

Answer:

10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.

Step-by-step explanation:

Answer:

The answer to this is c) 4.

Answer:

5

Step-by-step explanation:

3+2=5

x=3

Jeremy is incorrect because a negative plus a negative will always be a negative.

Answer:

23

Step-by-step explanation:

first off if your to take away 3 from 8 you'd get five and the same goes for the rest

I.e

8-3=5

13-8=5

18+5=23

as 23 -18 would give you you 5

Answer:

-7 4/5 or -7.8

Step-by-step explanation:

Product means multiplication

( - 13/8 )( 24/5)

= (-13 · 24)/(8 · 5)    negative · positive = negative

= - 312/40

=  -7  32/ 40 = -7 4/5 or 7.8

Answer:

47

Step-by-step explanation:

Answer:

Fertilizer A = 20, Fertilizer B = 56

Step-by-step explanation:

Step 1: Set up the equations

Nitrogen: 8x + 5y ≥ 440

Phosphorous: 2x + 5y ≥ 260

Potassium: 4x + 5y ≥ 360

Step 2: Find the vertices

It is easiest to graph the equations to find the vertices. (see attachment).  You can also solve each system of equations to find the intersected points.

The following satisfy the "greater than or equal to" requirement:

(0, 88) → y-intercept of Nitrogen equation

(20, 56) → intersection of Nitrogen and Potassium equations

(50, 32) → intersection of Phosphorous and Potassium

(130, 0) → x-intercept of Potassium

Step 3: Use vertices in cost function C(x) to find the minimum

C(x) = $30x + $20y

(0, 88): $30(0) + $20(88) = $1760

(20, 56): $30(20) + $20(56) = $1720    ← This is the minimum!

(50, 32): $30(50) + $20(32) = $2140

(130, 0): $30(130) + $20(0) = $3900

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

Answer:

Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...

You need to take each point and multiply the numbers by 5.

so the first one would be (-3,-1) multiplied by 5.

-3 * 5 = -15

-1 * 5 = -5

so your new point is (-15,-5)

hope this helped!

Answer:

15, 4, 11, 4

Step-by-step explanation:

x=8

so 7+x, 7+8= 15

12-8 = 4

x+3 , 8+3=11

32/8 = 4

Answer:

98

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95

Answer:

I don't know ✌️. ..............

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

Answer:

Swap 10 from box A and 15 from box B

Step-by-step explanation:

For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.

For find the mean of a set you use the next formula  [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]

[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]

Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]

Know the ask us for a ratio of 9:11 then we know two things about the boxes.

If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:

The new mean of [tex]\bar{A}[/tex] is 9 then:

[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]

[tex]\text{sum of elements in box A} = 45[/tex]

The new mean of [tex]\bar{B}[/tex] is 11 then:

[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]

[tex]\text{sum of elements in box B} = 55[/tex]

Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.

When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):

[tex]40 - a = c[/tex]

And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):

[tex]b + c = 45[/tex]

So replace [tex]c[/tex] for the first relation and get:

[tex]b + 40 - a = 45\\b - a = 5[/tex]

From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.

Answer:

Step-by-step explanation:

The statement #5 and #7 give an outcome of the statement #8:

This is called transitive property of congruence:

Correct choice is C

Answer:

C. Transitive property of congruence

Step-by-step explanation:

Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.

The answer would be 8:16

Answer:

42/8= 5 2/8

explanation:

8*5=40  42-40=2

therefore  

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

Answer: so either .64 or , .66,

Step-by-step explanation:

divide 3.86 by 6

Answer:

yes its correct

Step-by-step explanation:

but for the check where did you get the 12? you might want to redo that part but otherwise its right