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2 years ago

According to the synthetic division below, which of the following statements

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

7 0

Answer:

A, C, and F

Step-by-step explanation:

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Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. what is the probabi

olasank [31]

To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664

Answer: 0.8664

8 0

3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

A cube has a side length of x feet. Which expression represents the surface area of the cube?

alexdok [17]

The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units

8 0

3 years ago

Read 2 more answers

The following are prices for a 25 inch T.V. found in different stores around Roseville: 100,98,121,111,97,135,136,104,135,138,18

Vlad1618 [11]

There are 14 values above. The mean of these 14 numbers is calculated by dividing their sum by 14 which will give us an answer of 117.07 or ~117. The smallest of these values is 69 which is 48 units to the left of the average. The largest value is 189 which is 72 units to the right of the average. Therefore, in this distribution, the values are skewed to the right.

4 0

3 years ago

Read 2 more answers

Simplify. (-2y^3)^3(-3x^2yz^2)^3

Alik [6]

=-8y^9*-27x^6y^3z^6

=216x^6y^12z^6

6 0

2 years ago