About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

Answers

Answer 1
Answer: we should do the whole math calculation, but for ease, we know that the percentage contained within 2 std deviations of a normal distribution is:
= 2(13.6) + 2(34.1)
= 95.4%
Answer 2
Answer:

Answer:

95%

Step-by-step explanation:

:))


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Use the following frequency distribution to determine the midpoint of the second class.A. 17.0

B. 19.5

C. 16.5

D. 18.5

Answers

Class         Frequency    Mid-point
13-15           7            13+15/2=20.516-18           4            16+18/2=1719-21           3            19+21/2=2022-24           5            22+24/2=2325-27           7            25+27/2=2628-30           7            28+30/2=29

(16+18)/2 = 17
So, the answer is A (17).

A force (F) applied to an object of mass m1 produces an acceleration of 3.00 m/s^2. The same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s^2.

a) what is the value of the ratio m1/m2?

b) if m1 and m2 are combined into one object, what is its acceleration under the action of the force

Answers

Force is the product of mass and acceleration

  • The ratio m1/m2 is 1/3
  • The acceleration is 3/4

(a) The ratio m1/m2

Force is calculated as:

F = ma

For the first object, we have:

F = m_1 * 3

For the second object, we have:

F = m_2 * 1

The forces on both objects are equal.

So, we have:

m_1 * 3 = m_2 * 1

Divide both sides by 3m2

(m_1)/(m_2)= (1)/(3)

Hence, the ratio m1/m2 is 1/3

(b) The acceleration when the masses are combined

In (a), we have:

(m_1)/(m_2)= (1)/(3)

Make m2 the subject

m_2 = 3m_1

Recall that:

F = ma

So, we have:

F =(m_1 +m_2) * a

Substitute m_2 = 3m_1

F =(m_1 +3m_1) * a

F =4m_1 * a

Substitute F = m_1 * 3 --- because the force is the same

m_1 * 3 =4m_1 * a

Cancel out m1

3 =4 * a

Divide both sides by 4

a = \frac 34

Hence, the acceleration is 3/4

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a) using f=ma, F=m1 x 3.00 =3m1
also F=m2 x 1.00 = m2
as the Fs are the same: 3m1=m2
this means that the ratio of m1 to m2 is 3 to 1 as there are 3 m1s for every m2.
b) again using f=ma, the combination of the masses is m1 + m2 or 4m1 as there are 3m1s in m2. so F=4m1 x a = 3m1 (as F is the same for all of them).
a = 3m1/4m1 = 3/4ms^-2

5. The United States Air Force has 19 women for every 81 men enlisted. what is the ratio of men to women.

Answers

Answer: 81 to 19

Step-by-step explanation:

Final answer:

The ratio of men to women in the United States Air Force is 81:19, even when simplified, suggesting that there are significantly more men than women in the force.

Explanation:

To calculate the ratio of men to women in the United States Air Force, you need the numbers of men and women, which are given in the problem as 81 men and 19 women, respectively.

Thus, the ratio of men to women is 81:19. This signifies that, for every 81 men in the force, there are 19 women. The ratio of men to women can also be simplified by dividing both numbers by their greatest common divisor (in this case, 1), giving an equivalent simplified ratio of 81:19.

Remember, when you express a ratio, it should be in the simplest form or lowest terms, similar to simplifying fractions. For example, the ratio 2:4 should be reduced to 1:2, by dividing each side by 2, the greatest common divisor.

Learn more about Ratio here:

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Alina and Cesar are comparing the estimated trip mileage in a mapping software to the actual miles traveled. Use the drop-down menus to complete the statements about the software's accuracy.

Answers

Following are the response to the given question:

  • When Alina and Cesar are used in the given situation to compare the anticipated journey mileage in mapping software to the actual miles traveled.
  • Since Alina's distance will Be less than Cesar's distance, every mile of error results in a greater percentage of errors.
  • By using the drop-down menus it completes the assertions about the software's correctness.
  • Alina's assessment was 5 miles off now, and Cesar's assessment was 10 miles off, Alina's assessment was 10% off again and Cesar's estimation was 5% off.

Learn more:

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Answer:

Because Alina's mileage is LESS than Cesar's mileage, each mile of error results in a GREATER percent error.

Even though Alina's estimate was 5 miles off and Cesar's estimate was 10 miles off, Alina's was 10% off and Cesar's was 5% off.

Step-by-step explanation:

This is right because I got it right on TTM. ;) Trust me, it is.

Find the value of a²-b² when a-b=3 and a+b=4​

Answers

Answer:

12

{x}^(2) -  {y}^(2) = (x - y) * (x + y) = 3 * 4 = 12

The number( √5 +2)(√5 - 2) is a. an irrational number b. a rational number c. not a natural number d. none of these

Answers

Answer:

The number (√5 + 2)(√5 - 2) can be simplified using the difference of squares formula, which states that (a + b)(a - b) = a² - b². In this case:

(√5 + 2)(√5 - 2) = (√5)² - 2² = 5 - 4 = 1

So, the number (√5 + 2)(√5 - 2) is equal to 1, which is a rational number because it can be expressed as a ratio of two integers (1/1). Therefore, the correct answer is:

b. a rational number

Final answer:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The result is a rationalnumber, making option b. a rational number the correct answer.

Explanation:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a = √5 and b = 2. Plugging these values into the formula, we have (√5)^2 - 2^2 = ( √5 +2)(√5 - 2) = 5 - 4 = 1.

Since 1 is a rational number (it can be expressed as a fraction), the correct answer is b. a rational number.

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