Fill in the bubble next to all the doubles facts you could use to find the sum of 3+2? () 1+1

Find the exact value of x in the triangle below

Juli2301 [7.4K]

So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.

In this case, the short leg is 5√3 since that times √3 makes 15.

Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.

3 0

2 years ago

Maths!

Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

4 0

3 years ago

Read the questions in the table below then track a description of the situation at a table to represent each equation indicate w

Taya2010 [7]

First row is 3 cookies for every $1, proportional, and Table to the right
Second row is 3 more cookies than donuts, non-proportional, and the Table on the left

5 0

3 years ago

Read 2 more answers

Find the gof of g[5X+2]^3-4

anygoal [31]

Answer:

what is value of f in given function

7 0

2 years ago

Estimate the sum for 1,537 times 242 then find the sum

Furkat [3]

It says to estimate first 1,537 turns to 2,000 because the 5 is 5 or more so the 1 becomes 2 and everything else is zeros. Now multiply 2000x 242=484,000 is the Estimation. Now find the correct product for 1,537x242=371,954

5 0

2 years ago

Read 2 more answers