It is given that the normally distributed with a mean of 40,000 miles and a standard deviation of 4,000 miles. Also the company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.

That means the p < 0.02

Now with the help of the table the respective Z-score value of p < 0.02 is -2.05

From the provided information mean and standard deviation is given as $\mu = 40,000\ \text{and}\ \sigma = 4000$

Now use the formula: $z=\frac{x-\mu}{\sigma}$

Substitute the respective values in the above formula.

$-2.05=\frac{x-40000}{4000}$

$-8200=x-40000$

$-8200+40000=x$

$31800=x$

Hence, the guaranteed mileage should be 31800 miles.

4 0

3 years ago

5. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of its base and its height. Find

tatuchka [14]

Answer:

x³ + 7x² + 15x + 9

Step-by-step explanation:

Given that the volume (V) of a rectangular pyramid is

V = $\frac{1}{3}$ A h ( A is the area of base and h the height ), then

V = $\frac{1}{3}$ (3x² + 12x + 9)(x + 3) ← factor out 3 from A

= $\frac{1}{3}$ × 3(x² + 4x + 3)(x + 3)

= (x² + 4x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis

= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms

= x³ + 7x² + 15x + 9

Thus the expression for the volume is

V = x³ + 7x² + 15x + 9

4 0

3 years ago

Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.

nika2105 [10]

The given quadratic equation will not have any real solution for c<-9/4.

The given quadratic equation is:

$-x^{2} +3x+c=0$

<h3>What is a quadratic equation?</h3>

Any equation of the form $ax^{2} +bx+c=0$ is called a quadratic equation with a≠0.

In order to have no real solution, the discriminant of a quadratic equation will be less than zero.

$D < 0$

$3^{2} -4(-1)(c) < 0$

$9+4c < 0$

$c < -\frac{9}{4}$

For $c < -\frac{9}{4}$ the given quadratic equation will have no real solutions.

Hence, the given quadratic equation will not have any real solution for c<-9/4.

To get more about quadratic equations visit:

brainly.com/question/1214333

5 0

2 years ago