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VLD [36.1K]
4 years ago
6

Frank's age is one fourth of Danas age what equation can represent this

Mathematics
1 answer:
Katen [24]4 years ago
7 0
Take x as Danas age, 
equation,

x×1/4= x

hope this helps....

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Standard form 2 and 3 ty
gregori [183]
721.2 for number one.
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3 years ago
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The ratio of the units digit to the tens digit of a two-digit number is one-half.The tens digit is 2 more than the units digit.
Dafna11 [192]

Answer:

Number : 42

Step-by-step explanation:

This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.

In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,

y = z + 2,

z / y = 1 / 2

Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.

z / z + 2 = 1 / 2 ( Cross - Multiply )

z + 2 = 2z, z = 2

And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.

6 0
4 years ago
3 feet of ribbons are needed for wrapping each present. How many presents can be wrapped with 102cm of ribbons?
bagirrra123 [75]

1 imperial foot has approximately 30.48 metric centimeters, and for one present we need 3 ft, or namely 3(30.48) cm, how many can we get from 102 cm?   102 ÷ 3(30.48) ≈ 1.1155, so barely just one present.

8 0
3 years ago
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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

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

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

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

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
Mr. Campbell was travelled 80 miles in 2 hours. What was his average speed?
Mamont248 [21]
His average speed is 40mph you get your answer by dividing 80 by 2, or or you could do what is half of 80 which is 40. So Mr.Campbell average speed is 40mph
4 0
3 years ago
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