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Sauron [17]
3 years ago
5

Later, the teaching assistant in Nick’s physics course gives him some advice. "Based on past experience," the teaching assistant

says, "working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?
Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

3 hours working on problems, 1 hour reading

Step-by-step explanation:

From the given information:

We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.

We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.

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Two ladders AB and PQ are resting against opposite
muminat

Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

x = √1225

x = 35 ft

5 0
2 years ago
The model shows 1/2 . Which of the following correctly models and gives the quotient of 1/2 / 3/8 ?
GenaCL600 [577]
1/2 / 3/8 =
1/2 * 8/3 =
1*8 / 2/3 =
8/6 = 4/3 your answer
8 0
4 years ago
Read 2 more answers
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
4 years ago
The black triangles are similar. Find the value of x. <br><br> No links please!!
igor_vitrenko [27]

9514 1404 393

Answer:

  16

Step-by-step explanation:

The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...

  x = (4/7)(28)

  x = 16

8 0
3 years ago
Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
Marat540 [252]
I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700
5 0
3 years ago
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