16% of all Americans live in poverty. If 41 Americans are randomly selected, find the probability that

gregori [183]

Step-by-step explanation:

$area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.$

4 0

2 years ago

3 1/2 - 1 1/3 x x= 1

slamgirl [31]

Answer:

The value of x for the given expression is $\frac{15}{8}$

Step-by-step explanation:

Given as :

The expression is written

3 $\dfrac{1}{2}$ - 1 $\dfrac{1}{3}$ × x = 1

Or, 1 $\dfrac{1}{3}$ × x = 3 $\dfrac{1}{2}$ - 1

Or, $\frac{(1\times 3) + 1}{3}$ × x = $\frac{(3\times 2) + 1}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7-2}{2}$

Or, $\dfrac{4}{3}$ × x = $\dfrac{5}{2}$

∴ x = $\frac{\frac{5}{2}}{\frac{4}{3}}$

Or, x = $\frac{5\times 3}{2\times 4}$

I.e x = $\frac{15}{8}$

So, The value of x = $\frac{15}{8}$

Hence The value of x for the given expression is $\frac{15}{8}$ Answer

6 0

2 years ago

What are these as equalivalent equations

tatiyna

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are 6x - 2(x - 3) and x + 3(x - 2) - 6.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

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4 0

2 years ago

Solve each equation. Check your solution. –3b + 7 = –15 + 2b

Gnoma [55]

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

6 0

2 years ago

Read 2 more answers

Miss Stevens drove through a total of 36 intersections on her way home from work last week at four of every 16 intersections Mis

Nostrana [21]

Answer:

8 intersections

Step-by-step explanation:

Miss Stevens drove through a total of 36 intersections on her way home from work last week.

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

This is calculated as:

36 intersections ÷ 16 intersections

= 2 4/16

= 2 1/4

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

4 of every 16 intersections = stop for a red light

Hence:

16/4 = 4 intersections

Hence: 4 intersections = 1 stop for a read

The number of intersections that Miss Stevens had to stop for a red light is:

2 × 4 intersections = 8 intersections

6 0

2 years ago