All categories

2 years ago

Find the Missing Numerator and Denominator

Mathematics

1 answer:

n200080 [17]2 years ago

7 0

Answer:

missing denominator: 5

missing numerator: 3

Step-by-step explanation:

You know the product of fractions is formed by multiplying numerators and multiplying denominators.

$\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}$

This gives rise to two equations:

3n = 9 ⇒ n = 3

4d = 20 ⇒ d = 5

The missing denominator is 5; the missing numerator is 3.

$\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}$

You might be interested in

Help please this question kinda hard.

Kazeer [188]

Well as you can see it is F!

3 0

2 years ago

What is the area of a circle with the radius of 16 meters?

Vaselesa [24]

Answer: 804 meters

Step-by-step explanation:

Area of a circle = πr²

Radius = 16m

π(16)² = 804.2477193 meters

8 0

2 years ago

The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

Previous concepts

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".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$

Now we have everything in order to replace into formula (1):

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

7 0

3 years ago

Which expression is equivalent to p x q x q x q x q x q x q x q x q

Anika [276]

The answer is p x q to the 9th power or the first answer.

3 0

3 years ago

Read 2 more answers

Given two parallel lines cut by a transversal same side interior angles are congruent

lozanna [386]

False. The postulate states: If two <span> parallel</span> lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

5 0

3 years ago