MATHEMATICS HIGH SCHOOL

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram?z=-1.25
z=0.80

Answers

Answer 1
Answer:

Answer:

0.3175

Step-by-step explanation:

z=-1.25 from table is .1056

z=.80 from table is .7881

subtract from each other =.6825

Subtract from the whole is 1-.6825=0.3175

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One term of (x+y)^m is 31,824x^18y^11What is the value of m ?
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1.) Simplify
(2a^2b^4z)(6a^3b^2z^5)

Answers

Step-by-step explanation:

Simplifying

(2a2b4z)(6a3b2z5)

Remove parenthesis around (2a2b4z)

2a2b4z(6a3b2z5)

Remove parenthesis around (6a3b2z5)

2a2b4z * 6a3b2z5

Reorder the terms for easier multiplication:

2 * 6a2b4z * a3b2z5

Multiply 2 * 6

12a2b4z * a3b2z5

Multiply a2b4z * a3b2z5

12a5b6z6

Anybody pls help me. Plus, working. Thank you ​

Answers

I hope my answer can help you.

4. (02.06 MC)A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?(2, 1)
(1, 1)
(0, 1)

Answers

Answer:

(1, 1)

Step-by-step explanation:

Since, the equation of the line with slope m and passes through (x_1, y_1) is,

y-y_1=m(x-x_1)

Here,

x_1=0, y_1 = -1, m = 2

Thus, the equation of the line,

y + 1 = 2(x-0)

⇒ y + 1 = 2x

If a point lies on the line then it must satisfy the equation of the line,

For (2, 1)

1 + 1 ≠ 2(2)

For (1, 1)

1 + 1 = 2(1)

For (0, 1)

1 + 1 ≠ 2(0)

Thus, the point (1, 1) lies on the line.
the slope is 2/1, So the rise is 2 and the run is 1. So, (1,1) is on the line

How do you write 36% as a fraction or whole number in simplest form?

Answers

36\100 that is the answer
36/100 would the correct answer

don completes the square for the function y=x^2+6x+3. which of the following function reveals the vertex of the parabola?

Answers

x^2+6x+3=y
x^2+6x+9=-3+9
(x+3)^2=6
(-6/2)=-3
(-3)^2+6(-3)+9=6
9-18+9=6
y=-6
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