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

The Distributive property states that

a(b+c)=ab+ac

Now, let's simplify:

6(3a-4)

18a-24

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

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).
Var(x)
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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).

Var(x)=npq=4.2

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.

Step-by-step explanation:

The confidence interval for population mean is given by :-

Given : Significance level :

Critical value :

By using the standard normal distribution table for z, we find the critical value of 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 shown.circle 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:

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

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:

Given

Required

The angle between them

The cosine of the angle between them is:

First, calculate a.b

Multiply the coefficients of like terms

Next, calculate |a| and |b|

Recall that:

This gives:

Take arccos of both sides

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

Conclusion:

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