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3 years ago

5

A research center poll showed that 76% of people believe that it is morally wrong to not report all income on tax returns. What

is the probability that someone does not have this belief?

1 answer:

Tanya [424]3 years ago

6 0

You would subtract 0.76 from 100 and your answer will be 99.24

You might be interested in

How do u factor this

PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

$p(x)=x^2+bx+c$

has roots $x_1,\ x_2$ , then you have the following factorization:

$p(x) = (x-x_1)(x-x_2)$

In order to find the roots, you can use the usual formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the first example, this formula leads to

$x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}$

So, you can factor

$x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})$

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

$f(1.5)=-5.25$

you get

$f(-1.5) = 1.5c-3 = -5.25$

Add 3 to both sides:

$1.5c = -2.25$

Divide both sides by 1.5:

$c = 1.5$

7 0

3 years ago

9.1(6)+8.7(7)=_+60.9<br> How do I solve this?

timurjin [86]

Answer:

The answer is <u>54.6</u>.

9.1(6)+8.7(7)=<u>54.6</u>+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

$9.1\times 6+8.7\times 7=x+60.9$

$54.6+60.9=x+60.9$

Now adding on L.H.S:

$115.5=x+60.9$

Subtracting on both sides by 60.9 we get:

$54.6=x$

$x=54.6$

Therefore, the answer is 54.6.

7 0

3 years ago

At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal

skelet666 [1.2K]

Hi There!

----------------------------------------

Problem #1:

At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February?

3/10 + 1/10 = 4/10

4/10 of her goal.

----------------------------------------

Problem #2:

Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?

1/10 + 9/10 = 10/10 = 1

Shane drove 1 mile.

----------------------------------------

Problem #3:

For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?

7/10 - 3/10 = 4/10

The termites took 4/10 pound away from the log.

----------------------------------------

Hope This Helps :)

6 0

2 years ago

Solve and graph the inequality on a number line: −19 > g − 24

Phantasy [73]

Answer:

5 >g

Open circle at 5 line going to the left

Step-by-step explanation:

−19 > g − 24

Add 24 to each side

−19+24 > g − 24+24

5 >g

Open circle at 5 line going to the left

5 0

3 years ago

The ideal size of a first-year class at a particular college is 150 students. The college, knowing from past experiences that on

katen-ka-za [31]

Answer:

6.18% probability that more than 150 first-year students attend this college.

Step-by-step explanation:

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

For each item selected, there are only two possible outcomes. Either it is defective, or it is not. This means that we use concepts of the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

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:

$n = 450, p = 0.3$

So

$\mu = E(X) = np = 450*0.3 = 135$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{450*0.3*0.7} = 9.72$

Approximate the probability that more than 150 first-year students attend this college.

This is 1 subtracted by the pvalue of Z when X = 150. So

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

$Z = \frac{150 - 135}{9.72}$

$Z = 1.54$

$Z = 1.54$ has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% probability that more than 150 first-year students attend this college.

7 0

3 years ago