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oksian1 [2.3K]
4 years ago
11

What is an equivalent fraction to 24/72?

Mathematics
1 answer:
crimeas [40]4 years ago
5 0
24/72
Simplify the fraction, by dividing out the GCF: 24
<u>24/24
</u>72/24
1/3
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The product of two numbers is 50 and their difference is 5. What are the two numbers?
lyudmila [28]
27.5 and 22.5 are the two numbers
6 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
14. f(x) = -x4 + x² + 4; x = -1
natali 33 [55]

Answer:

  f(-1) = 4

Step-by-step explanation:

See below for the synthetic division tableau. The remainder is 4, hence ...

  f(-1) = 4

___

IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:

  f(-1) = -1 +1 +4

  f(-1) = 4

5 0
3 years ago
What Is 0.005 in percent form
Nuetrik [128]
To change 0.005 to a percent, just multiply by 100. = 0.005 * 100 = 0.5

Therefore, your answer would be 0.5%

3 0
3 years ago
Read 2 more answers
Use the figure to the right to identify each pair of angles as alternate exterior,
madreJ [45]

7. ∠I and ∠M are corresponding angles.

8. ∠J and ∠P are alternate exterior angles.

9. ∠K and ∠M are alternate interior angles.

10. ∠L and ∠M are consecutive interior angles..

11. ∠I and ∠O are alternate exterior angles.

12. 7. ∠K and ∠O are corresponding angles.

<h3>What are Alternate Exterior Angles?</h3>

Angles that are formed outside the parallel lines that are intersected by a transversal and lie alternate to each other on along the transversal are alternate exterior angles.

<h3>What are Alternate Interior Angles?</h3>

Angles that are formed inside of the parallel lines that are intersected by a transversal and lie alternate to each other on along the transversal are alternate interior angles.

<h3>What are Consecutive Interior Angles?</h3>

Angles that are formed inside of the parallel lines that are intersected by a transversal and lie on the same side of the the transversal are consecutive interior angles.

<h3>What are Corresponding Angles?</h3>

Angles that are formed in relative corner position on each of the parallel lines that are intersected by a transversal and lie along the transversal in the same side are called corresponding angles.

Thus, from the image given, we have the following special angles:

7. ∠I and ∠M are corresponding angles.

8. ∠J and ∠P are alternate exterior angles.

9. ∠K and ∠M are alternate interior angles.

10. ∠L and ∠M are consecutive interior angles..

11. ∠I and ∠O are alternate exterior angles.

12. 7. ∠K and ∠O are corresponding angles.

Learn more about angles on:

brainly.com/question/24839702

#SPJ1

8 0
2 years ago
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