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I am Lyosha [343]
3 years ago
7

What is the value this is -3 standard deviations from the mean?

Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

z=\frac{x-\mu}{\sigma}

Where \mu = 62

\sigma = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x

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Ray industries bought a touchscreen monitor for $1200 it is expected to depreciate at a rate of 25% per year what was the value
max2010maxim [7]

So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.

Since our touchscreen starts off at a value of 1200, that will be our a variable.

Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.

In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.

Using our info above, we can solve for y, which is the cost after x years.

y=1200*0.75^3\\y=506

In context, after 3 years the touchscreen will only be worth $506.

7 0
3 years ago
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is t
Leona [35]

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

3 0
3 years ago
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A line that forms and 90° angle with the original line is:
Nikolay [14]

Answer:

a right angle

Step-by-step explanation:

4 0
3 years ago
Select the prime number in each exercise <br> 37, 38, 39, 40, 42
olga nikolaevna [1]

Answer:

37 is prime number

Step-by-step explanation:

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number 

7 0
2 years ago
Read 2 more answers
(5/6)÷ 2 <br>A 10/6<br>B 5/12<br>C 4/1/6<br>D 1/1/3​
Ipatiy [6.2K]

Answer: B) 5/12

Step-by-step explanation:

5/6 divided by 2 is the same as 5/6 x 1/2

5 0
3 years ago
Read 2 more answers
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