How would you explain this ? And answer?

What is this angle?

Ratling [72]

Step-by-step explanation:

acute or right angle hope it helps.

7 0

3 years ago

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Help Please! Find The Circumference Of A Circle With D=22.1.

Pavlova-9 [17]

Answer:

72.25663

Step-by-step explanation:

C=2πr=2·π·11.5≈72.25663

8 0

3 years ago

Addison is 3 times as old as Bailey, and Bailey is 2.5 times as old as Christopher. If the sum of their ages is 66 , how old is

stepan [7]

Answer:

6 years old

Step-by-step explanation:

First, turn the information given in words as equations. Use variables to represent the people:

let A be Addison's age

let B be Bailey's age

let C be Christopher's age

A = 3B (Addison is 3 times as old as Bailey)

B = 2.5C (Bailey is 2.5 times as old as Christopher)

A + B + C = 66 (the sum of their ages is 66) (sum means addition)

Start with the equation for the sum of their ages (A + B + C = 66). You have other equations that can replace the variables in this equation.

A + B + C = 66

(3B) + B + C = 66 Replace A with 3B (because A = 3B)

4B + C = 66 Collect like terms (3B + B = 4B)

4(2.5C) + C = 66 Replace B with 2.5C (because B = 2.5C)

10C + C = 66 Collect like terms (10C + C = 11C)

11C = 66 Isolate "C"

11C/11 = 66/11 Divide both sides by 11 to cancel out 11 on the left side.

C = 6 Christopher's Age

Therefore Christopher is 6 years old.

3 0

3 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

8 0

3 years ago

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3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa

Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

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