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allsm [11]
3 years ago
7

Computers from a particular company are found to last on average for 24 months without any hardware malfunction with a standard

deviation of 2 months. At least 100 ___ % of observations lie between 22 and 26 months?
Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

At least 68% of observations lie between 22 and 26 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 2

22 = 24 - 2

22 is one standard deviation below the mean

26 = 24 + 2

26 is one standard deviation above the mean.

So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.

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F(x) = x2 + 7, what is the equation for f–1(x)?
melomori [17]
F-1(x) = (x-7) / 2, you can get this by taking 2x + 7, and doing the opposite operations on x. you also need to go in the reverse direction of Order of Operations. So first, we take 7 away from x, since subtraction is opposite from addition, and it is the last thing we would do in order of operations. next we only have the 2 multiplier left, so we put the x-7 in parenthesis, and divide by 2.
6 0
3 years ago
Diff. / Original amount= % of increase or decrease
V125BC [204]

Answer:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

6 0
3 years ago
Using the following picture which side is the hypotenuse?
mylen [45]

Hi!

A <u>hypotenuse</u> is the longest leg in a right triangle.

A <u>right triangle</u> is a triangle that has one 90 degree angle.

The hypotenuse is always directly across from the right angle.

In pictures, right angles are represented by a square.

<u><em>Therefore, the side with the hypotenuse is side 3</em></u>, because we can see that the angle between side 1 and side 2 is the right angle, and the hypotenuse would be directly across.

<u><em>For more information, see:</em></u>

brainly.com/question/21440624

<u><em>For information about parts of a right triangle, see:</em></u>

brainly.com/question/22137749

Image = other parts of a right triangle:

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astra-53 [7]

Answer and Step-by-step explanation: With the constant velocity motion formula, we can determine constant velocity of the object in motion whose data we collected:

x = x₀ + vt

Velocity can be calculated as:

v=\frac{x-x_{0}}{t}

v=\frac{70-40}{10}

v = 3 m/s

The beginning of the data collect, object is 40m away, then x₀ = 40.

So, equation modeling the object's path is x = 40 + 3t.

5 0
3 years ago
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hram777 [196]

Answer:

1. Multiples

2. factors

3.multiples

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