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Phantasy [73]
3 years ago
9

NEED HELP ASAP laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a stand

ard deviation of 75 hours. find the probability that a randomly selected light bulb will last between 900 and 975 hours.
Mathematics
1 answer:
professor190 [17]3 years ago
8 0

Answer:

0.0214

Step-by-step explanation:

We can get these answer by finding the z-scores at first

Mathematically;

z-score = x-mean/sd

For 900;

z-score = 900-750/75 = 150/75 = 2

For 975

z-score = (975-750)/75 = 3

So the probability we want to calculate is;

P(2<x<3)

This can be calculated using the standard normal distribution table

From the standard score table;

P(2<x<3) = 0.0214

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Point Coordinate
telo118 [61]

Step 1:

First, let's order the number from least to greatest.

A. -0.31

B. -0.33

C. -0.38

D. -0.29

We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.

C. -0.38

B. -0.33

A. -0.31

D. -0.29

Step 2:

Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.

Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29

Our answer: Line A

5 0
3 years ago
Determine the points of intersection of the given functions. y = –x2 + 3x + 20 y = –2x + 15 Describe the features of the graphin
Tanzania [10]

After you type in your equations and hit graph you notice that, if you are in the standard window, your parabola is cut off so you have to choose your "window" button to change the viewing window to see the whole graph. Then you would use your 2nd button and "trace" and "intersect" to find the points of intersection of the 2 graphs. The first point is at (-.90901, 16.81812) and the second point is at (5.9090909, 3.1818182). Graphing calculators are quite amazing!

5 0
4 years ago
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Part 2 of Question please help me <br> and thank you for your help
san4es73 [151]

1 tick represents 8 units

4 0
2 years ago
Preston writes 3 songs in 2 days, working 7 hours each day. He spends the same amount of time on each song. How long does he spe
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

In 2 days he spends 2*7 = 14 hours total

He divides the number of hours on each song evenly

14 /3 = 4 2/3 hours on each song.

What is 2/3 of an hour?

2/3 * 60 = 120 / 3 = 40 minutes

Total time spent on each song 4 hours and 40 minutes

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3 years ago
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A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surfa
lyudmila [28]

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

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