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Masja [62]
3 years ago
14

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. Ans

wer to the nearest integer.
Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

43

Step-by-step explanation:

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles

First we find out the width of the rectangle

Δx=b−a/n,  a= 0 and b= 3, n= 3

so Δx= 1

Divide the interval [0,3] into  3 sub intervals of width=1

[0,1]     [1,2]     [2,3]

Now we plug in end point and evaluate the function

We take left endpoints

f(x) = 16 - x^2

f(0) = 16 - 0^2=16

f(1) = 16 - 1^2= 15

f(2) = 16 - 2^2= 12

Now sum = Δx(f(0) + f(1)+f(2))

= 1 (16+15+12)= 43


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Sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 peopl
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Answer:

p value from chi square = 0.081

Step-by-step explanation:

Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05

p value = 0.09

Instead of this if we do chi square

H0: Proportion of music lovers is 5% and non music lovers is 95%

Ha: Proportions are not as per the estimate

(Two tailed chi square test)

Observed       83           1917       2000

Expected        100          1900     2000

O-E                  -17              17          0

chi square

(O-E)^2/E        2.89         0.1521     3.0421

df =1

p value from chi square = 0.081

Though p value is not exactly the same, the conclusion in both tests are the same

5 0
3 years ago
Which equation could be used to create the function table A y=3x B y=x+3 C y=4x D y=x+2
Setler79 [48]
A y=3x because 3*1 is 3 and 3*2 is 6 and so on
4 0
3 years ago
I know im asking a lot of questions but i really need your help
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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Answer:

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Step-by-step explanation:

8 0
2 years ago
Find an equation of the line having slope -2 that passes through the point (1, 5)
Alenkasestr [34]
Slope of -2, (1,5)

y = mx + b
slope(m) = -2
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now we sub and find b, the y int
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5 = -2 + b
5 + 2 = b
7 = b
so ur equation is : y = -2x + 7

The approximation method used to estimate a point between 2 given points is called linear interpolation. The approximation method used to estimate a point that does not lie between 2 given points is called linear extrapolation.A linear function has the form f(x) = mx + b. Its graph is a line that has slope m and y intercept at (0,b).

8 0
2 years ago
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