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stich3 [128]
2 years ago
5

Which graph best represents the function f(x)=2x ?

Mathematics
1 answer:
yan [13]2 years ago
3 0

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

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Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the numbe
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Steve payed $4 in tax because 10% of 40 is 4. Steve payed $44 in total because 4+40=44.
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____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years
ANEK [815]
The formula of the present value of annuity due:
PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=
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3 0
3 years ago
Read 45 pages of her book in 2 hours .at that rate how many would she read in 12 hours?
8_murik_8 [283]
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5 0
3 years ago
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mariarad [96]
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A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
3 years ago
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