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VMariaS [17]
2 years ago
14

Solve for m. 12m-15=3(2m+3)

Mathematics
1 answer:
kirza4 [7]2 years ago
7 0

Answer:

m = 4

Step-by-step explanation:

12m - 15 = 3 (2m + 3)

12 m - 15 = 6m + 9

12m - 6m - 15 = 6m - 6m + 9

6m - 15 = 9

6m - 15 + 15 = 9 + 15

6m = 24

(1/6) 6m = 24 (1/6)

m = 4

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1. Shay found that she hit the bull's-eye when throwing darts 2/10 times. If she
viva [34]
<h2>Answer:</h2><h2>If she  continues to throw darts 75 more times, she could predict to hit the </h2><h2>bull's-eye 15 times.</h2>

Step-by-step explanation:

Shay found that she hit the bull's-eye when throwing darts \frac{2}{10} times = \frac{1}{5}.

In five times, she will hit the dart once.

If she  continues to throw darts 75 more times,

the probability that she will hit the bull's eye =  \frac{1}{5} (75) = 15 times.

If she  continues to throw darts 75 more times, she could predict to hit the

bull's-eye 15 times.

6 0
2 years ago
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36.
mestny [16]

Answer:

6(11+6)

Step-by-step explanation:

Greatest common factor of 66 and 36 = 6

66+36 = 6*11 + 6*6 = 6(11+6)

5 0
3 years ago
a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv
Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

\rm SD = \sqrt{\dfrac{pq}{n}}

\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ1

3 0
2 years ago
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 50.7 d
Svet_ta [14]

Answer: The mean of the frequency distribution is 51.7°.

The computed mean 51.7° is greater than the actual mean 50.7° .

Step-by-step explanation:

The given table :

  Low Temperature ​(°​F)      Frequency     Mid -value  

      Class interval                  f                        x                  fx

          40-44                           2                     42.5               85

          45-49                           7                     47.5               95                      

          50-54                          9                     52.5               105

           55-59                         5                     57.5                115

           60-64                          1                      62.5               25

\text{Now, Mean}=\dfrac{\sum fx}{\sum f}\\\\=\dfrac{85+332.5+472.5+287.5+62.5}{24}\\\\=\dfrac{1240}{24}=51.6666666667\approx51.7

The computed mean 51.7° is greater than the actual mean 50.7° .

5 0
3 years ago
Michael bought $75 worth of shoes before the sales tax was added. His sales tax was $5.25. What was the tax rate?
natta225 [31]

Answer:

7%

Step-by-step explanation:

3 0
2 years ago
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