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3 years ago

Factorize the following:

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

Answer:

$(1)x {}^{2} - xy + xz - yz \\ x(x - y) + z(x - y) \\ (x - z)(x - y) = 0$

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Sally has read one-third of her book. She finishes the book by reading the same amount each night for 5 nights. Part A. What fra

boyakko [2]

Answer:

2/15

Step-by-step explanation:

Given that she have already read one-third of the book.

The fraction f of the book that will remain is;

f = 1 - 1/3 = 2/3

Then she finishes the book by reading the same amount each night for 5 nights

That implies she reads the remaining 2/3 of the book at equal rates for 5 nights.

Let x represent the fraction rate read per night;

5x = 2/3

Divide both sides by 5

x = 2/3 × 1/5

x = 2/15

Therefore, she reads 2/15 of the book every night for 5 nights.

6 0

3 years ago

A rectangular prism has a length of 2 1/2 cm, a width of 2 1/2 cm, and a height of 5 cm. Justin has a storage container for the

julsineya [31]

The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75

6 0

4 years ago

A software engineer is creating a new computer software program. She wants to make sure that the crash rate is extremely low so

Soloha48 [4]

Answer:

a) the sample size is 400

b) 95% confidence Interval for p is ( 0.0286, 0.0714 )

Step-by-step explanation:

Given the data in the question;

sample size n = 400

x = 20

p = x / n = 20 / 400 = 0.05

q = 1 - p = 1 - 0.05 = 0.95

n = 400

Hence, the sample size is 400

b) 95% confidence Interval for p;

At 95% confidence interval,

significance level ∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

so, Z critical Value ; $Z_{\alpha /2$ = 1.96 { from table }

So for Confidence Interval for p;

⇒ p' ± $Z_{\alpha /2$ √( p'q' / n )

we substitute

⇒ 0.05 ± 1.96√( (0.05 × 0.95 ) / 400 )

⇒ 0.05 ± 1.96√( 0.00011875 )

⇒ 0.05 ± 1.96 × 0.010897

⇒ 0.05 ± 0.021358

⇒ ( 0.05 - 0.021358 ), ( 0.05 + 0.021358 )

⇒ ( 0.0286, 0.0714 )

Therefore, 95% confidence Interval for p is ( 0.0286, 0.0714 )

8 0

3 years ago

Find the values of x and y. (5y - 21) (6x + 32) 116° X = and y

melamori03 [73]

Hope this helps! feel free to clarify

7 0

3 years ago

Two segments are ______ coplanar A.) always B.) sometimes C.) never

Liono4ka [1.6K]

A because coplanar means in the same plane.

8 0

4 years ago