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Sergio [31]
2 years ago
15

What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?​

Mathematics
1 answer:
Liula [17]2 years ago
4 0

Answer:

F(3) - F(1) / (3-1)

(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)

(9+12+4) - (1+4+4) / (2)

(25)-(9)/(2)

(16)/(2)

8

Step-by-step explanation:

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So you have 6.95 pounds and 1.75 pounds of it is cherry. 

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3 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

p_1=X_1/n_1=1642/4276=0.384

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

p_2=X_2/n_2=1415/3908=0.3621

The difference between proportions is (p1-p2)=0.0219.

p_d=p_1-p_2=0.384-0.3621=0.0219

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05

z=2.05

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3 years ago
When a border of uniform width is placed around a 9 x 12 m
zhenek [66]

Answer:

1080000

Step-by-step explanation:

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3 years ago
Can I have to answers for all the ones that are circled please :D
kipiarov [429]
32. Answer: 2+5×3=17
33. Answer: 2×5+3=17
34. Answer: 2×5×3=30
35. Answer: 2×5-3=7
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3 years ago
Matthew has a 150 page book he has read one third of it how many pages has he read so far
posledela
You take 150/3. The answer is 50.
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