Select the correct answer.

What is the sqare root of 75 in simplest form?

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.

Answer:

X=7

Hope this helps, and have a Great Day. You got this!!!

Step-by-step explanation:

Answer:

all rational numbers are intergers

Step-by-step explanation:

Answer:

[tex]2000 \: and \: 9.[/tex]

[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]

Let's consider a much smaller value and work our way up to the factorial 2009!

Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.

The only solution to a+b = 2 is a = b = 1 as mentioned.

----------

Now move onto a+b = 3. We have two solutions:

a = 1, b = 2

a = 2, b = 1

-----------

Now move onto a+b = 4. We have three solutions

a = 1, b = 3

a = 2, b = 2

a = 3, b = 1

Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.

So 'a' counts up to 3, while b counts down from 3.

We cannot reach 4 since 0 is not allowed for a or b.

-------------

The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so

a = 1, b = k-1

a = 2, b = k-2

a = 3, b = k-3

....

a = k-3, b = 3

a = k-2, b = 2

a = k-1, b = 1

Where k > 2

Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.

This confirms there are k-1 solutions listed above.

The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions

Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes

Answer:

It's 4

Step-by-step explanation:

Answer:

The answer is C which is 4

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Answer:

It would be y=-6.

Answer: $9420

Step-by-step explanation: 314000x0.03 is 9420

Answer: 314,000 x 0.03 = $9,420

Answer:

B

Step-by-step explanation:

Hope this helps  :)

If so mark brainliest

Answer:

neither

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

If these are

Parallel, slope of both the lines is same.

Perpendicular, if they are -ve reciprocal of each other.

In y = mx + c, slope is m.

Compare,

Slope of y=4x+1, is 4.

of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.

So it is neither ll nor perpendicular.

Answer:

6

Step-by-step explanation:

First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.

(Answer = 6)

Answer:6

Step-by-step explanation:

Answer:

Sarah downloaded 65 songs.

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Answer:

the answer is in the link

Step-by-step explanation:

https

      bxaha zshkkkvxxxkvvvvwuqgceuuuegieg   DONT KNO

Answer:

it's 3xy^5 + 5x^2 -2x +6

Answer: There are 9 more oranges than bananas because there are 6 apples, 12 oranges, and 3 bananas. (12-3=9)

Answer:

-5x⁹ y⁵

Step-by-step explanation:

x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵

Answer:  x5y2(5x4y3) =5x9y5

Step-by-step explanation:

Answer: x=49

x-17=32

Subtract 17 from both sides.

x=32+17

x=49

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

Answer:

4 1/6

Step-by-step explanation:

2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6

Answer:

Answer choice D. k is equal to 3.5

Step-by-step explanation:

In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.

30 - 7k = 5.5

-30          -30

Then we get...

-7k = -24.5

Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.

-7k = -24.5

-7        -7

And we get...

k = 3.5

And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.

9514 1404 393

Answer:

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

Answer:

f(x) = x

g(x) = -2x+1

f(x) -(-g(x)) = -x+1

f(x) +g(x) = -x+1

f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

 f(x) = x

 g(x) = -2x+1

Then the reflected function -g(x) is ...

 -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

 f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

 f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

Answer: A. 16

Step-by-step explanation:

It would be C, but at the end you have to plug it in the 3n + 4. :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

you go to the right 5 and go up 10

Step-by-step explanation:

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

3774

Step-by-step explanation:

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]

Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]

Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]

Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]

Town C had the greatest average change in population over time (800/yr).

Answer:

its c

Step-by-step explanation:

Answer:

x = 49/4

Step-by-step explanation: