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3 years ago

How would you solve this problem?

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

47 degrees

Step-by-step explanation:

Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:

$2x-2=x+45\\x=47$

vfiekz [6]3 years ago

4 0

Answer:

x = 47

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles for a triangle

2x-2 = x + 45

Subtract x from each side

2x-2 -x = x+45-x

x-2 = 45

Add 2 to each side

x-2 +2 = 45+2

x = 47

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What is the graph of the solution set of the inequality?

bija089 [108]

AnswThe Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"er:

StepThe Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"-by-step explanation:

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3 years ago

Which of the following are considered measures of center? I. mean II. median III. interquartile range A. III only B. I and II on

andrezito [222]

Answer: Choice B) I and II only

The mean and median are considered measures of center as they represent the average of a data set. The average basically being a point that collectively speaks for all of the data. For example, if you have a group of basketball players whose heights range from 5'11" to 6'9", then there is no single height to report; however, we can compute the average to get a basic idea of the single height. The interquartile range (IQR) is a measure of variability or spread of the data. The higher the IQR, the more spread out the data is. Recall that 50% of the data is represented by the IQR and that IQR = Q3 - Q1 where Q1 and Q3 are the first and third quartiles respectively. So because the IQR is a measure of spread, it is not considered a center point.

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3 years ago

Find the equation of a line that contains the points (6,3) and (6,−2).

RSB [31]

Answer:

x = 6

Step-by-step explanation:

First find the gradient,

$Gradient = \frac{y2-y1}{x2-x1} = \frac{-2-3}{6-6} =\frac{-5}{0} =0$

Since this line has no gradient, it means that it's a horizontal or vertical line. We cannot substitute in the values because the gradient is 0 so this line will only be x = 6

3 0

3 years ago

Read 2 more answers

Q(x)=-3x<br> r(x) = 4x-1<br> Find the following.<br> (r.q)(5) = <br> (r .q.)(5) =

Sav [38]

Answer:

4749

Step-by-step explanation:

because it 36 and 45. it is right, and it is ok

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3 years ago

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .