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Vanyuwa [196]
3 years ago
6

Estimate the instantaneous rate of change of P(t) = 2t² + 3 at the point t = – 3

Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Step-by-step explanation:

2t² + 3

2 x 9 + 3

18 + 3

21 is instanous rate

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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
Here is a list of four fractions 1/16 2/8 15/60 3/9
aleksley [76]

Answer:

3/9

Step-by-step explanation:

15*4= 60 so 15/60 is equivalent to 1/4.

1/16 is just a smaller equivalent of 2/8 which is just a smaller equivaent of 1/4.

3/9 simplified is 1/3. I/s is bigger than 1/4.

Hope this helps

8 0
3 years ago
Read 2 more answers
Please help me due today i beg of u
podryga [215]

Answer:

1) D. (2, -6)

2) B. (3, 1)

Step-by-step explanation:

idk how to explain just trust me

if u need any other questions answered message me brother

7 0
3 years ago
The sum of two consecutive even integers is 106. What are the integers?
Kruka [31]

Answer:

The integers are 52 and 54

Step-by-step explanation:

x = first even integer

x + 2 = next integer that is even

x + x + 2 = 106

2x + 2 = 106

2x = 104

x = 52

x + 2 = 54

4 0
2 years ago
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
777dan777 [17]
Slope=change in y/change in x

one way is t pick 2 points, (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)

pick some points
(8,4) and (8,0)
slope=(0-4)/(8-8)=-4/0=undefined
the slope is undefined
so you could say there is no solpe


answer is D


5 0
3 years ago
Read 2 more answers
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