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3 years ago

Need help in solving this problem. Section is under limits at infinity, horizontal asymptotes...

1 answer:

8 0

<span>(a) you can show the concentration by:

amount of salt / amount of water

amount of salt

= 30g / L

= [ 30 * 25g ] / [ 25L ] , 25L = 1 min

= [ 30 * 25g ] / min

amount of water

= 5000 + 25t

[ 30 * 25t ] / [ 5000 + 25t ]

= [ 30 * 25t ] / 25*[ 200 + t ]

= 30t / [ 200 + t ] yeah

(b)

lim t->∞ [ 30t / ( 200 + t ) ]

= lim t->∞ [ ( (1 / t) * 30t ) / ( (1 / t) * ( 200 + t ) ) ]

= lim t->∞ [ 30 / ( (200 / t) + 1 ) ]

= 30 / ( (200 / ∞) + 1 )

= 30 / 1

= 30

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

$Z = \frac{X - \mu}{\sigma}$

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

$Z = \frac{X - \mu}{\sigma}$

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

8 0

3 years ago

8 to the power of -3 / 8 to the power of 6

MArishka [77]

the answer is 0.000000007

4 0

3 years ago

Help!! I hate geometryyyy

miskamm [114]

Answer:

AFB, BDC, and FBD

Step-by-step explanation:

3 0

3 years ago

A sledgehammer weighs 18 pounds on Earth and 4 pounds on the planet Namar.

Advocard [28]

It would weight 18lbs i believe

8 0

3 years ago

Read 2 more answers

How many square feet of outdoor carpet will we need for this hole?

Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

Area of the rectangle = Lb

where

L = 12 ft

b = 5 ft

area = 12 × 5 = 60 ft²

The cut off triangle area

area = 1/2 × base × height

area = 1/2 × 4 × 3

area = 12/2 = 6 ft²

The cut off rectangle area

area = Lb

area = 3 × 2

area = 6 ft²

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

7 0

3 years ago