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NeX [460]
4 years ago
15

Please help with this question !!!!

Mathematics
2 answers:
makkiz [27]4 years ago
7 0
\bf \begin{cases}
f(x)=6x\\
g(x)=4x+1
\end{cases}\qquad (f\circ g)(x)\iff f(\quad g(x)\quad )
\\\\\\
\textit{that  is}\implies
\begin{cases}
f(\boxed{x})=6\boxed{x}
\\\\
f(\boxed{g(x)})=6\boxed{g(x)}\\
--------------\\
g(x)=4x+1\qquad thus\\
--------------\\
f(\boxed{g(x)})=6(\boxed{4x+1})\iff (f\circ g)(x)
\end{cases}

distribute and simplify if needed, see what you get
julsineya [31]4 years ago
7 0
I think it is A because if you do the math 4x+ 1 = 1 and A is the same hope that helps
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Kendra made a bar graph showing the number of hours she spent doing homework for different school subjects last month. How many
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Answer: 54

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It takes Mike 60 minutes to vacuum a room, and Debbie 45 minutes.
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2 years ago
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

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:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
4 years ago
Describe how you would use a yardstick to measure a rug
Dafna11 [192]
Well first of this makes sense because you need to make sure your rug will fit.  So anyways, first lay your rug out on a flat surface, grab your yardstick, lay it on the rug to find the length and then the width.  you then know the size of your rug(assuming its square).  You can do the same thing in the room you want it in.  
6 0
3 years ago
A right circular cylinder has a base area of 110 square inches and a volume of 1650 cable loches. What is the height, in inches,
denpristay [2]

Answer:

height = 15 inches

Step-by-step explanation:

the volume (V) of a cylinder is calculated as

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given V = 1650 and A = 110 , then

1650 = 110h ( divide both sides by 110 )

15 = h

3 0
2 years ago
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