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2 years ago

F(x) = 4x + 5 what is the value of f(-3)

Mathematics

1 answer:

myrzilka [38]2 years ago

7 0

Answer:

-7

Step-by-step explanation:

step 1,

put -3 into the function

step 2,

4(-3) + 5 = -7

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1. what’s the distance between (-8, -6) and (4, 10)?

charle [14.2K]

Use the formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}$

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2 years ago

Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

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2 years ago

First let's go on a trip you have $10,000 US to take with you look up the current exchange rate of US dollars to see dollars wha

deff fn [24]

So the exchange rate from one US dollar to a Canadian dollar is equal to 1.30 Canadian dollars. So in this current situation if you swapped all of your US dollars for Canadian dollars you would have $13000 Canadian dollars

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2 years ago

Simplify the expression: 3(1 + 8b)

luda_lava [24]

Answer:3+24b

Step-by-step explanation:

3(1+8b)

3+24b

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2 years ago

a pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the

Xelga [282]

65%...
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2 years ago

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