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Kobotan [32]
3 years ago
10

The product of two whole numbers is 75. Their average is 10. What are the numbers?

Mathematics
2 answers:
Archy [21]3 years ago
8 0

Answer:

15 and 5

Step-by-step explanation:

15 x 5 = 75.

15 + 5 = 20, 20 / 2 = 10. Hope this helps :)

sergiy2304 [10]3 years ago
5 0
15 and 5 is the right answer
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Find the measure of the largest angle.
mihalych1998 [28]

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

8 0
3 years ago
Read 2 more answers
One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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 represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

6 0
3 years ago
BRAINLIST HELP
Gala2k [10]

Answer:

The second one.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
How do you find the surface area of a octahedron
Alenkasestr [34]
If it's a regular octahedron, then you can calculate it using the formula 2\sqrt3a^2 where a is the length of the edge.
If it's not regular, you have to calculate the area of each side individually.

6 0
3 years ago
A group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 h
RideAnS [48]

Answer:

264.

Step-by-step explanation:

Let x represent the number of trout in the lake.

We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.

Using proportions, we will get:

\frac{\text{Total trouts}}{\text{Tagged trouts}}=\frac{48}{22}

\frac{x}{121}=\frac{48}{22}

\frac{x}{121}*121=\frac{48}{22}*121

x=\frac{24}{11}*121

x=24*11

x=264

Therefore, there would be approximately 264 trout in the lake.

8 0
3 years ago
Read 2 more answers
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