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2 years ago

What is the square root of 64/25

1 answer:

4 0

Here's a thing you can do with square roots and fractions:

√ (a/b) = √a / √b . Is that neat or what !

So √(64/25) = √64 / √25 .

We know the square root of 64 . . . that's 8 .
We know the square root of 25 . . . that's 5 .

So √(64/25) = √64 / √25 = 8 / 5 .

But before we walk away from it, we need to remember that the
square root of any number can be either positive or negative.
So both the '8' and the '5' can be either positive or negative.

When you mash that around, you realize that the question has
two answers. They are . . .

 + 1.6 and - 1.6 .

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Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent

Andrej [43]

The equivalent equation is d=17+12.5
it simplifies to d=29.5

4 0

3 years ago

Read 2 more answers

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

Start by calculating the mean

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

Hence, the standard deviation is approximately 11.28

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago

Please help. Find the two missing sides and write your answer as in simplified radical form.

ki77a [65]

Answer:

x and y = 5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

√2x = 10

x = 10/√2

= 10√2/2

= 5√2.

5 0

2 years ago

Help Plez 20 Points Due Today

Jobisdone [24]

Answer:6.25

Step-by-step explanation : ratio of areas = one half :two point five in a half

=1.0:6.25

8 0

2 years ago

Read 2 more answers

The measures of the angles of a triangle are shown in the figure below. Solve for x.

tino4ka555 [31]

Answer:

The vale of x=4

Step-by-step explanation:

We know that the sum of angles of a triangle = 180°

Given

(3x+13)

(8x+14)

109°

Thus, the equation becomes

(3x+13) + (8x+14) + 109° = 180°

11x + 27 + 109° = 180°

11x = 180°- 109° - 27

11x = 44

x = 4

Thus, the vale of x=4

6 0

2 years ago