All categories

3 years ago

What is the square root of 40 (need help ugghghgghh)

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

7 0

"sqrt" is shorthand for "square root"

The rule to use is

sqrt(x*y) = sqrt(x)*sqrt(y)

Factor 40 into 4*10, then use the rule above to get the following

sqrt(40) = sqrt(4*10)

sqrt(40) = sqrt(4)*sqrt(10)

sqrt(40) = 2*sqrt(10)

You might be interested in

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

Simplify the expression.

Anastasy [175]

Answer:

The answer to this question is positive 6.

Step-by-step explanation:

A negative divided by a negative is a positive.

3 0

3 years ago

A grosry storehas adisplay that has 60 oranges and 16 apples. what is the ratio of oranges to apples

ki77a [65]

Answer:

30:16-15:8 That is simplified and I divided it by two.

6 0

3 years ago

Each music class sing 8 song a week.how many songs does each class sing in 5 weeks?

jolli1 [7]

Answer:

Step-by-step explanation:

you x 8x5

5 0

3 years ago

Read 2 more answers

what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x

user100 [1]

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

--------------------

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

5 0

3 years ago