Which function is graphed?

A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

6 0

4 years ago

Find the area of the rhombus.<br> A=<br> square units

Olin [163]

The answer should be 24 square units.

5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base.

In order to do that, we need to use the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=5^2

9+b^2=25

Subtract 9 from both sides

b^2=16

Then square root both sides.

b=4.

Now that we have the base, you can then find the area of the triangle.

BH/2
4*3/2
12/2
6

So one triangle equals to 6. Then multiply that by 4 to find the area of the rhombus. Which would be 24 square units.

7 0

4 years ago

Is jk the same length as kl? make sure you have mathematical proof to support your answer

lutik1710 [3]

Yes jk and kl are the same length because if you count the amount of units they reach from the first point to the last they both are 3 squared units/units how ever you want to call it.

7 0

3 years ago

Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l

cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .