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2 years ago

Which is the graph of f(x) = one-fourth(4)x?

Mathematics

2 answers:

frez [133]2 years ago

6 0

Answer:

The image shows the graph for given function.

Step-by-step explanation:

We are given the following information in the question:

$f(x) = \displaystyle\frac{1}{4}4^x$

It is clear function is an exponential function and have shape similar to exponential function.

An exponential function is of the form:

$f(x) = b^x$ ,

where b is a parameter of the function and read as b raised to the power x.

The exponential function enjoys the following properties:

If 0 < b < 1, then the graph decreases as we move from left to right.
If b > 1, then the graph will increase as we move from left to right.

matrenka [14]2 years ago

4 0

Answer:

it is the third graph on edge

Step-by-step explanation:

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Write the equation of the line parallel to 3x - 4y = 18 that goes through<br> the point (8,-3)

kkurt [141]

Answer:

y=3/4x-9

Step-by-step explanation:

3 0

2 years ago

According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For

SpyIntel [72]

Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

b) 0.7611 = 76.11% probability that at least 110 believe global warming is occurring

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.71$

(a) For a sample of 16 Americans, what is the probability that at least 13 believe global warming is occurring?

Here $n = 16$ , we want $P(X \geq 13)$ . So

$P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 13) = C_{16,13}.(0.71)^{13}.(0.29)^{3} = 0.1591$

$P(X = 14) = C_{16,14}.(0.71)^{14}.(0.29)^{2} = 0.0835$

$P(X = 15) = C_{16,15}.(0.71)^{15}.(0.29)^{1} = 0.0273$

$P(X = 16) = C_{16,16}.(0.71)^{16}.(0.29)^{0} = 0.0042$

$P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) = 0.1591 + 0.0835 + 0.0273 + 0.0042 = 0.2741$

0.2741 = 27.41% probability that at least 13 believe global warming is occurring

(b) For a sample of 160 Americans, what is the probability that at least 110 believe global warming is occurring?

Now $n = 160$ . So

$\mu = E(X) = np = 160*0.71 = 113.6$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{160*0.71*0.29} = 5.74$

Using continuity correction, this is $P(X \geq 110 - 0.5) = P(X \geq 109.5)$ , which is 1 subtracted by the pvalue of Z when X = 109.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{109.5 - 113.6}{5.74}$

$Z = -0.71$

$Z = -0.71$ has a pvalue of 0.2389

1 - 0.2389 = 0.7611

0.7611 = 76.11% probability that at least 110 believe global warming is occurring

3 0

2 years ago

Mr khan is buys 15 staplers for his office each stapler cost $16.99. What does his final total cos depend upon

ICE Princess25 [194]

The final cost depends on the amount he buys since the 16.99 is the constant. Equation form is 16.99n where n is the amount hence the inconsistent variable

6 0

2 years ago

Which expression is equivalent to<br> 1/3/?

Rzqust [24]

Answer:

2\5,3\7,4\9,5\11

Thats the answer

3 0

2 years ago

Round 128 to the nearest ten

SSSSS [86.1K]

130, is the answer.. so here's me having to come back and to explain,because this questions is SO hard.
They ask to round to the ten.
128
^This is ten, so we look to our right which is eight, is higher than 5. 5 is counted as higher. So 8 is over five and if we round 28, it's 30.
WOW, fascinating.
Thanks Brainly's "monitors" such help. -_-

5 0

2 years ago

Read 2 more answers