What is 0.55555 as a fraction

Which of these is a prime number?<br> 733<br> 712<br> 702<br> 725

marishachu [46]

Answer:

733

Step-by-step explanation:

712 and 702 end in 2, so they're divisible by 2.

725 ends in 5, so it's divisible by 5.

733 is not divisible by 2.

7 + 3 + 3 = 13, so 733 is not divisible by 3.

It looks like 733 is the prime number.

5 0

3 years ago

Read 2 more answers

Find two consecutive even integers such that the square of the second, decreased by twice the first is 52

Fiesta28 [93]

Let the first integer be $x$ . So, the next even number is $x+2$

Let's translate the formula: the square of the second is $(x+2)^2$ , twice the first is $2x$ . So, the equation is

$(x+2)^2 - 2x = 52$

Expand the square to get

$x^2+4x+4-2x = 52 \iff x^2+2x+4 = 52 \iff x^2+2x - 48 = 0$

The solutions to this equations are

$x = -8,\quad x = 6$

So, the possible consecutive even numbers are

$-8\text{ and } -6\quad\text{or}\quad 6\text{ and } 8$

8 0

3 years ago

Suppose the scores, x, on a college entrance exam are normally distributed with a mean of 500 and a standard deviation of 100. T

Volgvan

Answer:

The minimum score an applicant must receive for admission is 392.

Step-by-step explanation:

Let the minimum score required be 'x₀'.

Given:

Mean score (μ) = 500

Standard deviation (σ) = 100

Percentage required for admission, P > 86% or 0.86

So, we are given the area under the normal distribution curve to the right of z-score which is 86%.

The z-score table gives the area left of the z-score value. So, we will find the z-score value for area 100 - 86 = 14% or 0.14

So, for value equal to 0.1401, the z-score = -1.08

Now, $P(x>x_0)=P(z>-1.08)$

So, we find x₀ using the formula of z-score which is given as:

$z=\frac{x_0-\mu}{\sigma}\\\\-1.08=\frac{x_0-500}{100}\\\\x_0-500=-1.08\times 100\\\\x_0=-108+500=392$

Therefore, the minimum score an applicant must receive for admission is 392.

7 0

3 years ago

Work out the value of six squared plus three cubed

IrinaK [193]

Answer:

63

Step-by-step explanation:

Based off of the question,we have a word problem that can be interpreted as the following. 6²+3³= ?

6² is the same as 6×6 which is equal to 36, In other words 6×6=36 or 6²=36

3³ is the same as 3×3×3 which is equal to 27, In other words 3×3×3=27 or

3³=27

Now with the product of each value in the word problem we can set up a statement as the following: 36+27= ?

Which when added together gives us the sum of 63, in other terms 36+27=63

concluding in our answer for the initial word problem. (6²+3³=63)

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B6%7D%2B%5Csqrt%7B6%7D" id="TexFormula1" title="\sqrt{6}+\sqrt{6}" alt="\sqrt{6}+\sqr

victus00 [196]

Answer:

$2\sqrt{6}$

Step-by-step explanation:

$\sqrt{6} +\sqrt{6} =2\sqrt{6}$

5 0

3 years ago

Read 2 more answers