MATHEMATICS
COLLEGE

b. –1.25

c. 1.25

d. 1.40

Answer:

Answer:

The correct option is b.

Step-by-step explanation:

Given information:

Population proportion = 20% = 0.2

Sample proportion =

Sample size = 100

Let as assume that the sample is normally distributed.

The formula for test statistics is

where,

p is sample proportion.

P is population proportion.

Q is 1-P

n is sample size.

The value of the test statistic is

The value of test statistic is -1.25. Therefore the correct option is b.

MIDDLE SCHOOL

Prove that: 5^31–5^29 is divisible by 100.

Answer:

See explanation

Step-by-step explanation:

Consider the expression

First, factor it:

Note that

Then

This shows that number 100 is a factor of the expression and, therefore, this expression is divisible by 100.

Answer:

5^27*6*100

Step-by-step explanation:

Definetly correct as its correct on RSM

HIGH SCHOOL

What is the product of the square root of 64 and the square root of 25?

The product of the square root of 64 and the square root of 25 is worked out as follows:

The square root of a number is a number that produces a product when is multiplied by itself. For example eight multiplied by eight equals 64 (8 x 8 = 64) and 5 x 5 = 25.

The square root of 64 = 8 and the square root of 25 is 5.

A product is the result of two or more numbers that are multiplied together.

Therefore, the product of the square root and the square root of 25 is 8 x 5 = 40.

The square root of a number is a number that produces a product when is multiplied by itself. For example eight multiplied by eight equals 64 (8 x 8 = 64) and 5 x 5 = 25.

The square root of 64 = 8 and the square root of 25 is 5.

A product is the result of two or more numbers that are multiplied together.

Therefore, the product of the square root and the square root of 25 is 8 x 5 = 40.

64 = 8

25 = 5

are the answers

25 = 5

are the answers

HIGH SCHOOL

May I please have help with this math problem? which of the following statements are true if Parabola 1 has the equation f(x)=x2+4x+3 and Parabola 2 has a leading coefficient of 1 and zeros at x = -5 and x = 1. (multiple things may apply)

1. Parabola 1 and Parabola 2 have a zero in common.

2. Parabola 1 and Parabola 2 have the same line of symmetry.

3. Parabola 1 crosses the y-axis higher than Parabola 2.

4. Parabola 1 has a lower minimum than Parabola 2.

Parabola 1:

f (x) = x2 + 4x + 3

f (x) = (x + 1) (x + 3)

intersection with y:

f (0) = (0) ^ 2 + 4 (0) +3

f (0) = 3

Axis of symmetry:

f '(x) = 2x + 4

2x + 4 = 0

x = -4 / 2

x = -2

Minimum of the function:

f (-2) = (- 2) ^ 2 + 4 * (- 2) +3

f (-2) = - 1

Parabola 2:

g (x) = (x + 5) (x-1)

g (x) = x ^ 2 - x + 5x - 5

g (x) = x ^ 2 + 4x - 5 intersection with y:

g (0) = (0) ^ 2 + 4 (0) - 5

g (0) = - 5

Axis of symmetry:

g '(x) = 2x + 4

2x + 4 = 0

x = -4 / 2

x = -2

Minimum of the function:

g (-2) = (- 2) ^ 2 + 4 * (- 2) - 5

g (-2) = - 9

Answer:

3. Parabola 1 crosses the y-axis higher than Parabola 2.

2. Parabola 1 and Parabola 2 have the same line of symmetry.

f (x) = x2 + 4x + 3

f (x) = (x + 1) (x + 3)

intersection with y:

f (0) = (0) ^ 2 + 4 (0) +3

f (0) = 3

Axis of symmetry:

f '(x) = 2x + 4

2x + 4 = 0

x = -4 / 2

x = -2

Minimum of the function:

f (-2) = (- 2) ^ 2 + 4 * (- 2) +3

f (-2) = - 1

Parabola 2:

g (x) = (x + 5) (x-1)

g (x) = x ^ 2 - x + 5x - 5

g (x) = x ^ 2 + 4x - 5 intersection with y:

g (0) = (0) ^ 2 + 4 (0) - 5

g (0) = - 5

Axis of symmetry:

g '(x) = 2x + 4

2x + 4 = 0

x = -4 / 2

x = -2

Minimum of the function:

g (-2) = (- 2) ^ 2 + 4 * (- 2) - 5

g (-2) = - 9

Answer:

3. Parabola 1 crosses the y-axis higher than Parabola 2.

2. Parabola 1 and Parabola 2 have the same line of symmetry.

MIDDLE SCHOOL

(-3) x (-5) = ? please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The answers 15 because we have two negatives it's always a positive and 3×5 is 15

The correct answer to (-3)×(-5) is 15. A negative times a negative number is ALWAYS a positive number. So, in this case just think of it as 3×5.

Answer : 15

Answer : 15