The graph shows the function f (x) =2^Xwhat is the value of x when f (x) =8

What is the answer (-7)²

lana66690 [7]

Answer:

Step-by-step explanation:

Wouldn’t it be -14?

4 0

2 years ago

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Consider the probability that at least 88 out of 153 registered voters will vote in the presidential election. Assume the probab

Liono4ka [1.6K]

Answer:

0.9319 = 93.19% probability that at least 88 out of 153 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes 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 distributions 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

153 voters:

This means that $n = 153$

Assume the probability that a given registered voter will vote in the presidential election is 63%.

This means that $p = 0.63$

Mean and standard deviation:

$\mu = E(X) = np = 153(0.63) = 96.39$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.63*0.37} = 5.97$

Consider the probability that at least 88 out of 153 registered voters will vote in the presidential election.

Using continuity correction, this is: $P(X \geq 88 - 0.5) = P(X \geq 87.5)$ , which is 1 subtracted by the p-value of Z when X = 87.5.

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

$Z = \frac{87.5 - 96.39}{5.97}$

$Z = -1.49$

$Z = -1.49$ has a p-value of 0.0681.

1 - 0.0681 = 0.9319

0.9319 = 93.19% probability that at least 88 out of 153 registered voters will vote in the presidential election.

5 0

2 years ago

PLEASE HELP!! The area of a square is 16 square units. Since 4^2 = 16 and (-4)^2 = 16, both 4 and -4 are square roots for 16. Ex

Rus_ich [418]

we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

<h3></h3><h3>Why is the statement incorrect?</h3>

So we have a square with an area of 16 square units, then the side length of that square will be given by:

S^2 = 16 square units

Now, there are two solutions for the above equation, these are:

S = 4 units

S = -4 units.

But being a solution of the equation does not mean that the solutions have sense in the context of the problem.

When we talk about dimensions of figures, negative numbers are not really well defined. We can't say that a square has a side length of "negative 4 units"

That does not make sense, remember that math is just a language, and it should be used to communicate things to others.

So the logical solutions (4 and -4) is not the only thing we need to look at when we state the solutions of a problem, but also the problem itself.

That is why we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

If you want to learn more about square roots:

brainly.com/question/98314

#SPJ1

4 0

7 months ago

Asociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each

Mazyrski [523]

Answer:

:0

Step-by-step explanation:

6 0

2 years ago

Help, I wanna pass this iready lesson or im going to get yelled at.

densk [106]

Answer:

1/10 is the correct answer

Step-by-step explanation:

3/5=6/10

7/10-6/10=1/10

7 0

2 years ago

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