Imagine a 8x8 chessboard, with king beginning from top left by how many routes can he reach bottom right

What are angles 2 and 13

marissa [1.9K]

Answer:

gurl- what kind of math is this

Step-by-step explanation:

3 0

3 years ago

Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)

VashaNatasha [74]

Answer:

<em>The correct option is: C) 4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

$12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z$

We can see that the common factors are: $2,2, x$

So, the GCF will be: $2\times 2\times x= 4x$

Now factoring out $4x$ from the given expression, we will get.....

$12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)$

So, the complete factorization will be: $4x(3y+7z)$

7 0

3 years ago

What is 16% of 750?

alisha [4.7K]

Answer:

120

Step-by-step explanation:

For this, all we have to do is multiply 750 by 16%. We know, from percent to decimal conversion, that 16% is 0.16 (divide the percent by 100 to convert to a decimal). From there, if we multiply 750 by 0.16, we get our answer to be 120

8 0

2 years ago

Read 2 more answers

Is it a true or false you receive a pay raise of 3% hold later by a pay cut of 3% after the two changes and pay your salary is u

Dimas [21]

False.

Lets say your original pay was $100

You get a 3% pay raise so that now makes your pay: 100 x 1.03 = $103

Now from 103 you get a 3% pay cut so after the pay cut your pay would be:

103 x (100%-3%) = 100 x 97% = 100 x 0.97 = $99.91

99.91 is less than your original pay of 100.

6 0

3 years ago

Find the necessary confidence interval for the binomial proportion p. (Round your answers to three decimal places.) A 90% confid

frutty [35]

Answer:

[0.875;0.925]

Step-by-step explanation:

Hello!

You have a random sample of n= 400 from a binomial population with x= 358 success.

Your variable is distributed X~Bi(n;ρ)

Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal

^ρ≈N(ρ;(ρ(1-ρ))/n)

And the standarization is

Z= ^ρ-ρ ≈N(0;1)

√(ρ(1-ρ)/n)

The formula to estimate the population proportion with a Confidence Interval is

[^ρ ± $Z_{1-\alpha/2}$ *√(^ρ(1-^ρ)/n)]

The sample proportion is calculated with the following formula:

^ρ= x/n = 358/400 = 0.895 ≅ 0.90

And the Z-value is $Z_{1-\alpha/2} = Z_{0.95} = 1.648$ ≅ 1.65

[0.90 ± 1.65 * √((0.90*0.10)/400)]

[0.875;0.925]

I hope you have a SUPER day!

5 0

3 years ago