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2 years ago

Can someone explain this to me? No Links no bots.

Mathematics

1 answer:

IceJOKER [234]2 years ago

3 0

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.

Step-by-step explanation:

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Decide whether the change is an increase or a decrease, and find the percent change. Original number = 35; New number = 16.... P

Elodia [21]

Answer: 60 decrease or 150 decrease

Step-by-step explanation:

3 0

3 years ago

When we toss a coin, there are two possible outcomes: a head or a tail. Suppose that we toss a coin 100 times. Estimate the appr

marin [14]

Answer:

96.42% probability that the number of tails is between 40 and 60.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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:

100 tosses, so $n = 100$

Two outcomes, both equally as likely. So $p = \frac{1}{2} = 0.5$

$E(X) = np = 100*0.5 = 50$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5$

Estimate the approximate probability that the number of tails is between 40 and 60.

Using continuity correction.

$P(40 - 0.5 \leq X \leq 60 + 0.5) = P(39.5 \leq X \leq 60.5)$

This is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 39.5. So

X = 60.5

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

$Z = \frac{60.5 - 50}{5}$

$Z = 2.1$

$Z = 2.1$ has a pvalue of 0.9821

X = 39.5

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

$Z = \frac{39.5 - 50}{5}$

$Z = -2.1$

$Z = -2.1$ has a pvalue of 0.0179

0.9821 - 0.0179 = 0.9642

96.42% probability that the number of tails is between 40 and 60.

8 0

3 years ago

Find the slope of the line that contains the following pair of points (1,6) (9,-4)

motikmotik

Answer:

The slope is -5/4 or -1.25

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m= (-4-6)/(9-1)

m=(-10)/8

m= -5/4

3 0

3 years ago

Read 2 more answers

the scale on a map is 1 cm : 4 km. If the two cites are 16 cm apart on the map, what is the actural distance between the cites?

nydimaria [60]

64km because 4 x 16 = 64

8 0

3 years ago

Write the contrapositive of the statement below.

hram777 [196]

<span>If a triangle does not have one angle greater than 90Â°, then it is not an obtuse triangle. Remember that you create a contrapositive by inverting and swapping both terms. So if you have if A then B the contrapositive would be if not-B then not-A Since you've been given "If a triangle is an obtuse triangle, then it has one angle with measure greater than 90Â°" the contrapositive would be something like "If a triangle has no angles with a measure greater than 90Â°, then it is not an obtuse triangle." So, now look at the available choices and see what matches in intent even if it's not phrased exactly the same. The option "If a triangle does not have one angle greater than 90Â°, then it is not an obtuse triangle." matches the intent of the contrapositive that we constructed independently and is the correct answer.</span>

8 0

3 years ago