${\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\ = \left( {8 \times 4} \right) \times w - 18w \hfill \\ = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill \\$

4 0

3 years ago

For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's d

kondaur [170]

Answer:

Null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

Step-by-step explanation:

Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

Claim : the proportion of students who enroll in her institution have a higher completion rate.

So,null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

6 0

3 years ago

A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi

grin007 [14]

The surface area would be subtracted by 1/2

4 0

3 years ago

Solve the equation 12x+6y=24 for x

vlabodo [156]

Answer:

x=2-1/2y

Step-by-step explanation:

12x+6y=24

12x=24-6y

x=24/12-6/12y

x=2-1/2y

6 0

3 years ago