3(2a-2)=2(3a-3) solve

PLEASE HELP 23 point

Lubov Fominskaja [6]

Answer:

48

Step-by-step explanation:

7 0

2 years ago

A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the s

soldier1979 [14.2K]

Building Snowmen - 60
Building Snowmen (no skiing) - 10
Skiing - 80
No to building snowmen - 50

Part A:
total of students: 200
140 x
----- = ----
200 100
14000 200x
--------- = --------
200 200
70 = x
70%

8 0

2 years ago

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Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

3 0

2 years ago

A train left for London, and after 9 hours later, a car traveling 80 miles per hour tried catching up to the train. After 3 hour

morpeh [17]

Answer:

20 miles per hour

Step-by-step explanation:

Given that the train left for London, and after 9 hours later, a car traveling 80 miles per hour tried catching up to the train. After 3 hours, the car caught up

Which means that the car travelled the same distance in 3 hours as the train travelled in 9 + 3 = 12 hours

Let the distance be d

Given the speed of car is 80 miles per hour

We know that $speed=\frac{distance }{time}$

$80=\frac{d}{3}$

d = 240 miles

Now for the train Average speed = total distance / total time taken

Average speed of the train = $\frac{240}{12}$ = 20 miles per hour

7 0

2 years ago

What is the measure of C

Mrrafil [7]

Answer:

This is an equilateral triangle, meaning that all sides and all angles are equal, as shown through the three equal side lengths, so all you have to do is find what makes all three angles the same number!

A triangle has 180 degrees, and this one has 3 equal angles because it has 3 equal sides, so 180/3 is 60 degrees!

So C. 60 degrees is your answer!!

Hope this helps!

Step-by-step explanation:

5 0

3 years ago

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