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OLEGan [10]
3 years ago
10

A differential equation, a point, and a slope field are given. A slope field(or direction field) consists of line segments with

slopes given by the differential equation. These line segments give a visual perspective of the slopes of the solutions of the differential equation. (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the indicated point. (b) Use integration to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketches in part (a). dy/dx = x² - 1, (-1, 3)
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

Step-by-step explanation:

We're gonna need a graph to do this one.

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An SRS of 450 450 high school seniors gained an average of ¯ x = 20 x¯=20 points in their second attempt at the SAT Mathematics
maria [59]

Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where n= sample size.

\sigma = standard deviation.

\overline{x}= sample mean.

z*= Critical value.

Given : n= 450

\overline{x}=20

\sigma=49

Critical value for 95% confidence = z*=1.96     [From z-value table]

Then, the 95% confidence interval will be :-

20\pm (1.96)\dfrac{49}{\sqrt{450}}

\approx 20\pm (1.96)(2.31)

\approx 20\pm 4.53

=(20-4.53,\ 20+4.53)=(15.47,\ 24.53)

Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)

3 0
3 years ago
Find two consecutive integers whose sum is the square of 7
Maksim231197 [3]

Answer:

Step-by-step explanation:

Two consecutive integers be x  and (x+1)

x + x +1 = 7²

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 48/2

x = 24

The consecutive integers are: 24,25

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3 years ago
The price paid for a $4.50 pen after a 60% discount is applied​
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Answer:

1.80

Step-by-step explanation:

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From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin
borishaifa [10]

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

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)!}

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

C_{n,x} = \frac{12!}{4!(8)!} = 495

495 combinations of 4 students can be selected.

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3 years ago
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Gennadij [26K]

Answer: C

Step-by-step explanation:

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3 years ago
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