A rectangle's perimeter is 92 ft. Its length is 5 ft shorter than two times of its width. Use an equation

The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi

Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean diameter = 106 millimeters

$\sigma$ = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

P(X > 111) = P( $\frac{ X - \mu}{\sigma}$ > $\frac{111-106}{4}$ ) = P(Z > 1.25) = 1 - P(Z $\leq$ 1.25)

= 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0

3 years ago

How do you subtract mixed fractions?

cupoosta [38]

Make it an improper fraction by multiplying the whole number by the denominator then adding the numerator then find the common denominator (remember what you do to the bottom, you do to the top) then subtract normally.

eg. 1 4/5 - 1 7/10

= 9/5 - 17/10

= 18/10 - 17/10

= 1/10 or 0.1

Hope this helps!

5 0

3 years ago

You are buying an area rug for your bedroom. The area of your room you want to cover is 40 feet squared. You find that the lengt

Kamila [148]

The length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.

Area is defined as the space covered by any object in the two dimensional plane. Here it is given that the area of the rug should be 40 square feet and the length of the rug is 3 less then its width.

So to find out the length and the width we will form an equation.

Let the width is = x feet

So the length will be = x-3 feet

Now the area will be

$x(x-3)=40$