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oksian1 [2.3K]
3 years ago
8

4m/5-2m/3=1 solve the equation

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

m = 7.5

Step-by-step explanation:

4m/5   - 2m/3  =1

We want to get rid of the fractions so multiply each side by 5*3 or 15

15 *(4m/5   - 2m/3 ) =1*15

15 *(4m/5)   -15( 2m/3 ) =1*15

Canceling like factors

3* 4m -5*2m = 15

Multiply

12m - 10m = 15

2m = 15

Divide each side by 2

2m/2 = 15/2

m = 7.5

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What is the following product?<br> 3V24•3V45 3V69 4(3V6) 6(3V5) 6(3V10)
lora16 [44]

Answer:

option 3

Step-by-step explanation:

6(3√5)

3 0
1 year ago
For the past 25 days, jonathon has read for n minutes each day. His total number of minutes read is 875. Write an equation to ex
liubo4ka [24]

Answer:

Required equation is: 25n = 875

Step-by-step explanation:

Let n be the number of minutes Jonathon read per day

Now

He read for 25 days and total 875 minutes

The equation will be:

25n = 875

We can solve this equation to find the number of minutes each day

Using Division property of Equality

\frac{25n}{25} = \frac{875}{25}\\n = 35

Hence,

Required equation is: 25n = 875

6 0
2 years ago
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0
2 years ago
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4 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

ax=axn to rewrite

3√27x12 as (27x12)1/3

to rewrite

3√(3x^4)3

Pull terms out from under the radical, assuming real numbers.

3X^4

3 0
2 years ago
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