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3 years ago

14

5.

1 answer:

Talja [164]3 years ago

5 0

Answer:

y = -3x

Step-by-step explanation:

Given the illustration of the graph, we can see that the line is going downhill. This would indicate that the slope is negative, so the choices would be narrowed down y = -3x or y = -x. Looking at the line, we can use two points to find the difference in 'y' over the difference in 'x', or slope. Using the origin (0,0) as one point, we can go down 3 and over 1 to get to the second point of (1, -3). This would be an overall change of -3, giving us the final answer of:

y = -3x

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PLEASE HELP A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the ar

Mars2501 [29]

<h3>Answer: shaded region has area 107 square feet</h3>

================================================

Work Shown:

A = area of larger rectangle

A = length*width = 9*15 = 135 square feet

B = area of smaller rectangle

B = length*width = 7*4 = 28 square feet

C = area of shaded region

C = difference in areas of A and B

C = A - B = 135 - 28 = 107 square feet

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3 years ago

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SpyIntel [72]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di

Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, $\mu$ = 1.3 cm and Standard deviation, $\sigma$ = 0.01 cm

Also, since distribution is normal;

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

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

P(X < 1.33) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.33 -1.3}{0.01}$ ) = P(Z < 3) = 0.99865

P(X <= 1.27) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.27 -1.3}{0.01}$ ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

= 0.00135

P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0

3 years ago