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3 years ago

How do you answer (2a)³ ?

Mathematics

2 answers:

s2008m [1.1K]3 years ago

5 0

$(2a)^{3}$
Can be rewritten as;
2a*2a*2a
= $8a^{3}$

Sonja [21]3 years ago

3 0

Can be rewritten as;
2a*2a*2a
=8a3

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Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site

Ymorist [56]

Answer:

$L = 3.975$

Step-by-step explanation:

Given

See comment for data

Required

The lower limit 94% confidence interval

First, calculate the mean

$\bar x =\frac{\sum x}{n}$

$\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}$

$\bar x =\frac{74.1}{12}$

$\bar x =6.175$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}$

$\sigma = \sqrt{\frac{197.2625}{12}}$

$\sigma = \sqrt{16.4385416667}$

$\sigma = 4.054$

For 94% interval, the z score is

$z = 1.88$

So, the margin of error (E) is:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.88 * \frac{4.054}{\sqrt {12}}$

$E = 1.88 * \frac{4.054}{3.464}$

$E = 2.200$

The confidence interval of the true mean is:

$CI = (\bar x \± E)$

The lower limit (L) is:

$L = \bar x -E$

$L = 6.175 -2.200$

$L = 3.975$

and the upper limit (U) is

$U = \bar x + E$

$U = 6.175 + 2.200$

$U = 8.375$

5 0

3 years ago

Joanie watched 1 3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 5 of th

saw5 [17]

Answer:Joanie watched 4/15 of the movie at night

Step-by-step explanation:

Let total amount of movie to watch = 1 whole since we are dealing with fractions

Amount of movie watched in the morning = 1/3

Amount watched at night = x

Amount remaining= 2/5

so that Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch

1 - ( 1/3 + x ) = 2/5

1- 2/5 = 1/3 + x

3/5 =1/3 + x

3/5 - 1/3 = x

9- 5/15 = x

x= Amount watched at night = 4/15

5 0

3 years ago

Evaluate the polynomial function when H=3 f(h)=4h^3-3h^2+5h-16

tester [92]

Answer:

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

8 0

3 years ago

WILL GIVE BRAINLIEST!!!! How much fat is in a mixture created with x pints of 8% butterfat and y pints of 15% butterfat?

Alinara [238K]

Step-by-step explanation:

Total fat in mixture is 8x+15y100 pints.

Explanation:

In a mixture of x pints of 8% butterfat, we have 8x100 pints of butter

and in y pints of 15% butterfat, we have 15y100 of butterfat.

Hence total fat in mixture is 8x+15y100 pints.

7 0

3 years ago

X^2=60 what is the value of x ?

olya-2409 [2.1K]

Answer:

x = ±2√15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Multiple roots/solutions

Step-by-step explanation:

Step 1: Define

x² = 60

Step 2: Solve for x

Square root both sides: x = ±√60
Simplify: x = ±2√15

Step 3: Check

Plug in both solutions of x to verify it's a solution.

x = 2√15

Substitute: (2√15)² = 60
Evaluate: 4 · 15 = 60
Multiply: 60 = 60

x = -2√15

Substitute: (-2√15)² = 60
Evaluate: 4 · 15 = 60
Multiply: 60 = 60

Here we see that both solutions do indeed work.

∴ x = ±2√15 are both solutions to the equation.

5 0

3 years ago