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2 years ago

Suppose you have a normally distributed set of data pertaining to a standardized test. The mean

1 answer:

lina2011 [118]2 years ago

7 0

<span>The formula to find the z score in a normally distributed set of data is: z = (x - ÎĽ) / Ď With ÎĽ being the mean, Ď being the standard deviation, and x being the score. Substituting these values into the formula gives us z = (800 - 500) / 100 = 3 The z-score of the 800 point score is 3.</span>

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5/8 of students choose blue, 5/9 of students choose green, 48 students chose red. how many students chose green and blue?

ss7ja [257]

I don’t know that is so complicated

7 0

3 years ago

A textbook has 428 numbered pages, starting with 1.

kolezko [41]

Answer:

1/428 or 0.00233644859% chance

Step-by-step explanation:

Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!

5 0

2 years ago

Read 2 more answers

What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square f

ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0

2 years ago

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

5 0

2 years ago

At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of reg

emmainna [20.7K]

Answer:

d) 5/12

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

$\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}$

The correct answer is given by option d.

6 0

3 years ago