Pls help I’m failing math rn

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$ for P > 0.2S

Q = 0 for P < 0.2S

$S = \dfrac{1000}{CN}-10$

where:

curve number CN = 80

$S = \dfrac{1000}{80}-10$

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$

$Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}$

$Q = \dfrac{(8-0.5)^2}{(8+2)}$

$Q = \dfrac{(7.5)^2}{(10)}$

$Q = \dfrac{(56.25)}{(10)}$

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0

3 years ago

The 90% confidence interval for the mean one-way commuting time in New York City is

Zinaida [17]

Answer:

95% provides more information

Step-by-step explanation:

The confidence interval is obtained by using the relation :

Xbar ± Zcritical * σ/√n

(Xbar - (Zcritical * σ/√n)) = 5.22 - - - (1)

(Xbar + (Zcritical * σ/√n)) = 5.98 - - (2)

Adding (1) and (2)

2xbar = 5.22 + 5.98

2xbar = 11.2

xbar = 11.2 / 2 = 5.6

Margin of Error :

Xbar - lower C.I = Zcritical * σ/√n

Zcritical at 90% = 1.645

5.6 - 5.22 = 1.645 * (σ/√n)

0.38 = 1.645 * (σ/√n)

(σ/√n) = 0.38 / 1.645 = 0.231

Therefore, using the se parameters to construct at 95%

Zcritical at 95% = 1.96

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.96 * 0.231 = 0.45276

C.I = xbar ± margin of error

C. I = 5.6 ± 0.45276

C.I = (5.6 - 0.45276) ; (5.6 + 0.45276)

C. I = (5.147 ; 6.053)

Hence, 95% confidence interval provides more information as it is wider.

3 0

3 years ago

What’s the volume of this

pav-90 [236]

Given:

The height of the cylinder = 12 in

The diameter of the base of the cylinder = 8 in.

To find:

The volume of the cylinder.

Solution:

The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,

$r=\dfrac{8}{2}$

$r=4$

So, the radius of the base of the cylinder is 4 in.

The height of the cylinder, h = 12 in.

Base area of the cylinder is:

$B=\pi r^2$

Where, B is the base area and r is the radius.

$B=\pi (4)^2$

$B=16\pi$

So, the base area is $16\pi$ square inches.

The volume of the cylinder is:

$V=\pi r^2h$

$V=Bh$

Where, r is radius, h is height, B is base area.

Putting $B=16\pi$ and $h=12$ , we get

$V=(16\pi )12$

$V=192\pi$

So, the volume is $192\pi$ cubic inches.

Therefore, $r=4\text{ in}, h=12\text{ in},B=16\pi \text{ in}^2,V=192\pi \text{ in}^3$ .

7 0

3 years ago

Over a period of 4 hours, the outside temperature changed by an average of –1.5 per hour. Highlight the statement that correctly

posledela

Answer: C. The temperature decreased by 6 degrees.

Step-by-step explanation:

From the question, we are informed that over a period of 4 hours, the outside temperature changed by an average of –1.5 per hour. The change over the 4 hours period will be:

= -1.5 × 4

= -6 hours.

The shows that the temperature decreased by 6 degrees.

4 0

3 years ago

Melody has learned to play 298 songs on the piano. She plans to learn to play ten more songs by next week. If she meets her goal

GaryK [48]

Answer:

308 songs

Step-by-step explanation:

you just add the number of songs that she already knows how to play plus the number of songs that she learns to play the next week then you have your answer

6 0

3 years ago

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