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2 years ago

Which linear equation represents on the graph

Mathematics

1 answer:

s2008m [1.1K]2 years ago

4 0

Remember, rise/run is the easiest way to determine slope

y=mx+b is form

mx is slope, whilst b is y int

so, answer? y=-3x-2

Or A.

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

In this problem, we have that:

$n = 15000, p = 0.09$

$\mu = E(X) = np = 15000*0.09 = 1350$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05$

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

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

$Z = \frac{1499 - 1350}{35.05}$

$Z = 4.25$

$Z = 4.25$ has a pvalue of 1.

1 - 1 = 0

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

6 0

2 years ago

martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. what is the unit rate at which martin paints in walls per gallon?

sergeinik [125]

So there are 5/8 gallons and 4/5 walls to cover, so the wall/gallon rate will just be 45 ÷ 5/8.

$\bf \cfrac{\quad \frac{4}{5}~wall\quad }{\frac{5}{8}~gallon}\implies \cfrac{4}{{5}}\cdot \cfrac{8}{{5}}\implies \cfrac{32}{25}~\cfrac{wall}{gallon}\implies 1.28~\frac{wall}{gallon}$

7 0

2 years ago

I have to build a box for my scouting project with a volume of 36 cubic centimeters. The base of the box is 6 cm long and 2 cm w

Yakvenalex [24]

You should build your box 3 centimeters high.

Volume = Length x Width x Heigh

36 = 6 . 2 . X
36/6 = 2X
6= 2X
6/2 = X
3 = X

8 0

2 years ago

For every 1/150 square mile Xavier mows, Bao mows 1/120 square mile. How many square miles does Xavier mow for every 1 square mi

AlexFokin [52]

I am assuming that it is C. 5/4

8 0

2 years ago

If y is the circumcenter is angle STU find each measure

snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW= $\sqrt75units$ , YW= $\sqrt27units$

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

$YT^{2}=VY^{2}+VT^{2}$