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zmey [24]
3 years ago
13

How to solve -7(-3r+2)=3r-6

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Step-by-step explanation:

-7(-3r+2)=3r-6

Distribute the - 7

21r-14=3r-6

Add 14

21r=3r+8

Subtract 3r

18r=8

Divide 18r by 8

2.25 should be the answer to r.

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Two cubes are tossed. Find P(only one shows a 2).
djverab [1.8K]
The probability that only one shows a 2.

There are 36 different outputs (6x6) = 36

There are 6 combinations where the first cube shows a 2, these are 2,1;2,2;2,3;2,4;2,5; and 2.6

There are 6 combinations where the second cube shows a 2: 1,2;2,2;3,2;4,2;5,2; and 6,2.

Of those one combination on each set shows two 2.

Then the number of combinations with only one 2 are 6 - 1 + 6 -1 = 10

Now the probabilit is 10 out of 36 = 10 / 36 = 5 / 18
 
4 0
3 years ago
FIANCE 50 HELP ASAP
Assoli18 [71]

Calculate the risk measure (beta) compared to the returns of asset and market premium.

1.4 = 4 + 9((rm^-4)

1.4 = 9rm ^-32

33.4 = 9rm

Rm = 3.71

The answer is 3.71

3 0
3 years ago
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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{p(1-p)}{n}})

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
What is the answer to f/3 < -2
Hitman42 [59]

Answer:

1 i think

Step-by-step explanation:

hope this helps :) have a nice day :) :)

4 0
3 years ago
Which sheep has a larger area of rectangle that is 7" by 3 fourths inch or a square with side length of 2 1/2 inches
Gnesinka [82]
If you multiply 7 by .75 you get 5.25
rectangle = area = 5.25
then multiply 2.5 by itself and you get 6.25
square area = 6.25
So the 2 1/2 inch square has more room
7 0
3 years ago
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