All categories

3 years ago

Given a mean of 24.5 and a standard deviation of 1.7 what is the z score of the value 24 rounded to the nearest tenth?

1 answer:

3 0

The correct answer is B) -0.3

Z-scores are found using the formula

z = (X-μ)/σ

For this problem, we have

z = (24-24.5)/1.7 = -0.5/1.7 = -0.3

You might be interested in

A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container

SVETLANKA909090 [29]

Step-by-step explanation:

then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth (height) of the water in the rectangular container

6 0

3 years ago

Juan earns $18 per hour. He receives time and a half for overtime. Last week he worked 50 hours. What was Juan’s gross pay last

larisa [96]

Answer:

$900

Step-by-step explanation:

18 x 50 = 900

69.25 i belive for taxes

3 0

2 years ago

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

never [62]

Axis of symmetry = -b/2a
y + 3x - 6 = -3(x-2)² + 4
y + 3x - 6 = -3 ( x²-4x+4) + 4
y + 3x - 6 = -3x² + 12x -12 + 4
y + 3x - 6 = -3x² + 12x -8
y = -3x² + 12x - 3x -8 + 6
y = -3x² + 9x -2
(a=-3, b=9, c=-2)
Axis of symmetry = -b/2a = -9/2(-3) = -9 / -6 = -3 / -2 = 3/2
Hence, option A) x=3/2 is the correct answer.

4 0

3 years ago

WHY CAN'T ANYONE HELP ME PLEASE?? The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales wi

Zinaida [17]

Answer:

y = -1000x +11000

Step-by-step explanation:

Given:

(x, y) = (sales price, number sold) = (3, 8000), (6, 5000)

Find:

slope-intercept equation for a line through these points

Solution:

When given two points, it often works well to start with the 2-point form of the equation for a line.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given points, you have ...

y = (5000 -8000)/(6 -3)/(x -3) +8000

y = (-3000/3)(x -3) +8000

y = -1000x +3000 +8000 . . . . eliminate parentheses

y = -1000x +11000 . . . . the desired equation

6 0

3 years ago