Find the greatest common factor of each set of numbers 12 54

The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of th

love history [14]

Answer:

Option B) 0.0013

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1000 hours

Standard Deviation, σ = 50 hours

We are given that the distribution of life of bulb is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(bulb would last longer than 1150 hours)

$P( x > 1150) = P( z > \displaystyle\frac{1150 - 1000}{50}) = P(z > 3)$

$= 1 - P(z \leq 3)$

Calculation the value from standard normal z table, we have,

$P(x > 1150) = 1 - 0.9987 = 0.0013$

0.0013 is the probability that a randomly selected bulb would last longer than 1150 hours.

Thus, the correct answer is

Option B) 0.0013

3 0

3 years ago

Find the commission on a $750 sale if the commission is 24%

Savatey [412]

Answer:

The commission is $180

Step-by-step explanation:

To find the commission take the total (750) and multiply it by the percentage of commission (.24).

When you do this, you will get $180.

Hope this helps! :)

6 0

2 years ago

The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale f

Lapatulllka [165]

Answer:

The coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

V(6, 2)

W(-2, 4)

X(-3, -5)

Y(3, -5)

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

<u>Using the formula of dilation by a scale factor of 2</u>

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y) → (2x, 2y)

V(6,2) → (2(6), 2(2)) = V'(12, 4)

W(-2, 4) → (2(-2), 2(4)) = W'(-4, 8)

X(-3, -5) → (2(-3), 2(-5)) = X'(-6, -10)

Y(3, -5) → (2(3), 2(-5)) = Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

8 0

3 years ago

Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to t

aleksklad [387]

Answer:

14 = 8 + 2d

Step-by-step explanation:

Odometer is a device that is equipped in the vehicles to count the distance traveled by the vehicle.

It has been given in the question that,

Distance between beach and her friend's house = d miles.

Distance between Brenna's house and her friend's house = 8 miles

Total distance traveled by Brenna = 14 miles.

Starting from the Brenna's house, we will add each distance traveled till the end of her journey and will make it equal to the 14 miles.

So,

Total distance = Distance between Brenna's house and her friend's house + Distance between her friend's house and beach + Distance between beach and her friend's house

Thus, we can now put the values as,

14 = 8 + d + d

We will get the final equation as

14 = 8 + 2d

4 0

3 years ago

Read 2 more answers

HeLp mE fast! 5 Stars and Thanks!

Mice21 [21]

Answer:

6 3/16

Step-by-step explanation:

4 9/16=73/16

1 5/8=13/8=26/16

73/16+26/16=99/16=6 3/16

8 0

2 years ago

Read 2 more answers