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3 years ago

How did the enlightenment affect peoples attitudes toward political authority

2 answers:

6 0

People began to think for themselves. This resulted in many people questioning the absolute authority they were used to living under. People no longer believed that kings ruled by divine right.

svetlana [45]3 years ago

3 0

Answer:

It caused Europeans to question the divine right of kings to rule their subjects.

Step-by-step explanation:

apex

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An IAB study on the state of original digital video showed that original digital video is becoming increasingly popular. Origina

never [62]

Answer:

11.51% probability that fewer than 25 in your sample will watch original digital videos

Step-by-step explanation:

I am going to use the normal approximation to the binomial 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:

$n = 100, p = 0.30$

$\mu = E(X) = np = 100*0.3 = 30$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.3*0.7} = 4.58$

What is the probability that fewer than 25 in your sample will watch original digital videos?

Using continuity correction, this is $P(X < 25 - 0.5) = P(X < 24.5)$ , which is the pvalue of Z when X = 24.5. So

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

$Z = \frac{24.5 - 30}{4.58}$

$Z = -1.2$

$Z = -1.2$ has a pvalue of 0.1151

11.51% probability that fewer than 25 in your sample will watch original digital videos

5 0

2 years ago

At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original numb

Ksenya-84 [330]

Suppose the one's digit is x, the ten's digit is y. the original number is 10y+x, the reversed number is 10x+y

x+y=13
(10x+y)=(10y+x)-9 =>9y-9x=9 =>y-x=1
Add the two equation to solve: 2y=14 =>y=7
x=13-7=6
the original number is 76.

6 0

2 years ago

Which division problem does the number line below best illustrate?

mixer [17]

Answer:

1 divided by one-fifth = 10

7 0

3 years ago

If a = 2 and b = -3, find the value of a3 - b2. <br> A.-31<br> B.-23<br> C.-1<br> D.15

valentinak56 [21]

Hello!

So let's first start out by solving the left side of the equation:

2 to the third power is 8

The right side now: -3 to the second power is -9

In total: 8- (-9)

So your answer is C) -1

I hope it helps!

3 0

2 years ago

Read 2 more answers