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frutty [35]
3 years ago
6

The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of

3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Answer: 6 inches is the average pp
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To solve a system of inequalities so you can graph it how do you change these two equations into something like the two that are
Zigmanuir [339]
Explanation

Problem #2

We must find the solution to the following system of inequalities:

\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}

(1) We solve for y the first inequality:

-2y\leq4-3x.

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) over the line:

y=\frac{3}{2}x-2.

This line has:

• slope m = 3/2,

,

• y-intercept b = -2.

(2) We solve for y the second inequality:

\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) below the line:

y=-\frac{1}{3}x+2.

This line has:

• slope m = -1/3,

,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

• over the line from point (1),

,

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

8 0
1 year ago
4) Use the distance formula to find the length of segment BC.
gogolik [260]

Answer:

5

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

8 0
3 years ago
Which type of rigid transformation is shown?<br><br> reflection<br><br> rotation<br><br> translation
Sever21 [200]

C: translation

i seen there wasn't any answer so i decided to get it wrong for the good people that use brainly i got you guys

4 0
3 years ago
Read 2 more answers
The square pyramid has a volume of 768 cubic inches. The height equals 1/6x and the base is just x. What is the value of x ?
Lunna [17]
The volume for a pyramid is V= \frac{1}{3} Bh, where B is the area of the base and h is the height.  We are given the volume, and the base and height in terms of x.  Our formula then looks like this: 768= \frac{1}{3} (x)( \frac{1}{6} x).  Simplifying the right side we have 768= \frac{1}{18}  x^{2}.  Multiply both sides by 18 to get rid of the fraction and we have 13824= x^{2}, so x = 117.575
5 0
3 years ago
If f(x) = 5x − 3, which expression represents its inverse function?
tangare [24]

Answer:

f ^{-1}(x)=\frac{x+3}{5}

Step-by-step explanation:

To find the inverse of a function f (x) follow the steps below:

1) Make y = f (x)

y= 5x - 3

2) Solve for the variable x

y+3= 5x - 3+3

y+3= 5x

x=\frac{y+3}{5}

3) Exchange the variable x with the variable y

y=\frac{x+3}{5}

4) Make y = f ^{-1}(x)

f ^{-1}(x)=\frac{x+3}{5}

Finally, the inverse of the function f (x) is: f ^{-1}(x)=\frac{x+3}{5}

5 0
3 years ago
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