Simplify the following expression by using the distributive property 6(3a-4)


Answer 1


The Distributive property states that


Now, let's simplify:




\huge\rm{LoveLastsAllEternity :)

Answer 2


first you multiply 6 and 3a which equals 18a. Then you multiply 6 and 4 which equals 24. So in the end it should look like: 18a-24

Related Questions

Rosa graphs the line y = 3x + 5.then she dilates the line by a factor of 1/5 with (0,7) as the center of dilation .
5x5x5x5= ______ to the power of _____
Can anyone help with 9? Anything helps
If 50% of a number is 80 and 35% of the same number is 56, find 85% of that number.
A line and the point (3,4) are graphed in the coordinate plane. what is the equation of the line that passes through the point (3,4) and is parallel to the line shownA. y= 1/4x+3B. y=1/4x+13/4C. y=4x+3D.y=4x+13/4

Consider a binomial experiment with n = 20 and p = .70. If you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.

a) Compute f(12) (to 4 decimals).
b) Compute f(16) (to 4 decimals).
c) Compute P(x 16) (to 4 decimals).
d) Compute P(x 15) (to 4 decimals).
e) Compute E(x). 14
f) Compute Var(x) (to 1 decimal) and (to 2 decimals).



Step-by-step explanation:

Given that X is binomial n=20: p=0.70

a) Compute f(12) (to 4 decimals).


b) Compute f(16) (to 4 decimals).


c) Compute P(x <16) (to 4 decimals).


d) Compute P(x <15) (to 4 decimals).


e) Compute E(x). =np = 14

f) Compute Var(x) (to 1 decimal) and (to 2 decimals).


A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was computed based on the sample data. The confidence interval for the mean is: (107.62,129.75). What is the z-value that was used in the computation. Round your z-value to 2 decimal places.


Answer: 1.88

Step-by-step explanation:

The confidence interval for population mean is given by :-

\mu\ \pm z_(\alpha/2)(\sigma)/(√(n))

Given : Significance level : 1-0.94=0.06

Critical value : z_(\alpha/2)=z_(0.06/2)=z_(0.03)

By using the standard normal distribution table for z, we find the critical value of z_(0.03) corresponds to the p-value 0.03.


Hence, the z-value that was used in the computation must be 1.88 .

A circle with a diameter of 36 inches is with diameter of 36 inches

What is the area of the circle using π = 3.14?

113.04 in2
452.16 in2
1,017.36 in2
4,069.44 in2



1017.36 in²

Step-by-step explanation:

Information we need to know:

Radius = diameter ÷ 2

Area of circle = πr²

1) Find the radius of the circle

We have to make sure the we are using the radius of the circle instead of the diameter as the formula using the value of r. If we were to use the diameter our answer would be wrong.

  • 36 ÷ 2 = 18

2) Find the area

To find area we can distribute the numbers given into the formula...

  • 3.14 (π) x 18 (r)² = 1017.36

Hope this helps, have a lovely day! :)


A = 1,017.36 in²
The answer is option C

Step by step solved:

The formula to calculate the area of a circle is

A = πr²,

where A is the area and r is the radius of the circle. In this case, the diameter of the circle is given as 36 inches, so the radius is half of that, which is 18 inches.

Using the value of π as 3.14, we can plug in the values and calculate the area as follows:

A = πr²
A = 3.14 x 18²
A = 3.14 x 324
A = 1,017.36 in²

Therefore, the area of the circle with a diameter of 36 inches using π = 3.14 is 1,017.36 in². The answer is option C

Find the angle between the vectors ????=????+???? and ????=−????+????. (Give an exact answer. Use symbolic notation and fractions where needed.)



The angle between them is 60 degrees

Step-by-step explanation:


a = 2i + j -3k

b = 3i - 2j -k


The angle between them

The cosine of the angle between them is:

\cos(\theta) = (a\cdot b)/(|a|\cdot |b|)

First, calculate a.b

a \cdot b =(2i + j -3k) \cdot (3i - 2j -k)

Multiply the coefficients of like terms

a \cdot b =2 * 3 - 1 * 2 - 3 * -1

a \cdot b =7

Next, calculate |a| and |b|

|a| = \sqrt{2^2 + 1^2 + (-3)^2

|a| = \sqrt{14

|b| = √(3^2 + (-2)^2 + (-1)^2)

|b| = √(14)

Recall that:

\cos(\theta) = (a\cdot b)/(|a|\cdot |b|)

This gives:

\cos(\theta) = (7)/(√(14) * √(14))

\cos(\theta) = (7)/(14)

\cos(\theta) = 0.5

Take arccos of both sides

\theta =\cos^(-1)(0.5)

\theta =60^o

On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?



The test statistic is -2.5

Yes, I can reject the null hypothesis at 5% significance level.

Step-by-step explanation:

Null hypothesis: The average number of sardines in a can is 9.75

Alternate hypothesis: The average number of sardines in a can is greater than 9.75

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 9.75

population mean = 10

sd = 1

n = 100

z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5

The test is a one-tailed test. At 5% significance level, the critical value is 1.645


Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645

A garden is in the shape of a circle with a radius of 10 feet. Edging is place around the garden. How much edging, in feet, is needed togo around the garden? Round your answer to the nearest whole number. Use 3. 14 for TT.
please!! I need it right jnow



62.8 ft (of edging)

Step-by-step explanation:

We need to find the circumference of this circle, using C = 2(pi)r.

Here, C = 2(3.14)(10 ft) = 62.8 ft (of edging)


63 feet is needed to  go around the garden.