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ra1l [238]
4 years ago
14

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

Mathematics
1 answer:
Setler79 [48]4 years ago
3 0
2 x ( 2w - 5 ) + 2 x w = 92
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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.

<h3>what is area?</h3>

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

x^2-3x-40=0

By solving the quadratic equation

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-3)\pm\sqrt{9+(4\times1\times40}}{2}

x=\dfrac{3\pm13}{2}

x=8  \   and \   \  x=-5.5

Here the value of x will be positive because length cant be negative.

So the width of the rug will be x=8 feet

Length of the rug will be  x-3= 8-3=5 feet

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

To know more about area follow

brainly.com/question/3948796

#SPJ1

7 0
3 years ago
I need help finding this answer to this inequality -10[9-2x]-x≤2x-5
Ad libitum [116K]

Answer:

x≤5

Step-by-step explanation:

-10(9-2x)-x≤2x-5

-90+20x-x≤2x-5

19x-2x≤90-5

17x≤85

x≤85/17

x≤5

8 0
3 years ago
A ceramics teacher orders 5 blocks of gray clay for every 3 blocks of red clay.
BartSMP [9]

Answer:

25

Step-by-step explanation:

trust me it's right it might be easier if you use paoer

3 0
3 years ago
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