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2 years ago

Question 6

Mathematics

1 answer:

Tema [17]2 years ago

7 0

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x = 46 / 1.15

= 40 cm^3.

You might be interested in

The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to s

levacccp [35]

Answer:

99% of the confidence level of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of the sample(x⁻) = 39

Given a standard deviation of the sample (σ) = 6

Level of significance = 0.01 or 99%

Step(ii):-

99% of the confidence level of the mean WR score for all convicted drug dealers

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })$

$(39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })$

(39 - 1.5456 , 39+1.5456)

(37.4544, 40.5456)

Final answer:-

99% of the confidence level of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

8 0

3 years ago

A study done by researchers at a university concluded that 70 70% of all student athletes in this country have been subjected t

Alecsey [184]

Answer:

The margin of error is 0.0206 = 2.06 percentage points.

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1900, \pi = 0.7$

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 margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.7*0.3}{1900}} = 0.0206$

The margin of error is 0.0206 = 2.06 percentage points.

The lower limit of this interval is:

$\pi - M = 0.7 - 0.0206 = 0.6794$

The upper limit of this interval is:

$\pi + M = 0.7 + 0.0206 = 0.7206$

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

6 0

4 years ago

Use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements ab

Reika [66]

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor