MATHEMATICS COLLEGE

The sum of the lengths of is 24.62 cm. The length of is 3 cm and the length of is 17.8 cm. What is the length of and what kind of triangle is this?A. 3.82 cm; scalene
B. 3.82 cm; isosceles
C. 3.92 cm; scalene
D. 3.92 cm; isosceles

Answers

Answer 1
Answer:

Answer:

the \: third \: length \: \n 24.62 - 3 - 17.8 = 3.82 \n \n because \n \: 17.8 > 3 + 3.82 \n it \: is \: scalene

Scalene Triangle

A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.

Isosceles Triangle

In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.

Answer 2
Answer:

Answer:

B. 3.82 cm; isosceles

Step-by-step explanation:

Other persons answer but simplified.

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An insurance company writes policies for a large number of newly-licensed drivers each year. Suppose 40% of these are low-risk drivers, 40% are moderate risk, and 20% are high risk. The company has no way to know which group any individual driver falls in when it writes the policies. None of the low-risk drivers will have an at-fault accident in the next year, but 10% of the moderate-risk and 20% of the high-risk drivers will have such an accident. If a driver has an at-fault accident in the next year, what is the probability that he or she is high-risk
3x-165=7x=105What is x?
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If an angelfish is 6/5 inches, how many feet is it? I'm literally going to give you 100 points.

Answers

Answer:

0.1 foot

Step-by-step explanation:

1 inch = 0.083 foot

Formula: divide the length value by 12

So, multiply 0.083 to (6)/(5)

(6)/(5) = 1.2

1.2 × 0.83 = 0.996

approximatlry, 0.996 = 0.1

Therefore, \bold{(6)/(5)}inches are equal to 0.1 foot.

Calculate the rent of a decreasing annuity at 8% interest compounded quarterly with payments made every quarter-year for 7 years and present value $78,000.

Answers

The general Formula for a decreasing Annuity is:
P = ( ((1+i)^n -1)/(i (1+i)^n)) R
For this example we have:
P = 78,000
n = 7*4 = 28
i = 8%/4 = 2% = 0.02

After substituting you can find value for R, rent.

A computer shop sold 400 computers last month. And 523 computers were sold this month. What is the percentage increase?

Answers

The increase was 45%

Answer:

The percentage increase is %30.75

Step-by-step explanation:

Subtract 400 from 523 to get the difference so you know how much more wawas sold in units of computers. Since it was increased by 123 you need to find out out what percentage of 400 123 is. This equals 30.75.

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean? (A) Approximately normal with mean $206,274 and standard deviation $3,788
(B) Approximately normal with mean $206,274 and standard deviation $37,881
(C) Approximately normal with mean $206,274 and standard deviation $520
(D) Strongly right-skewed with mean $206,274 and standard deviation $3,788
(E) Strongly right-skewed with mean $206,274 and standard deviation $37,881

Answers

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

  • There were 5,317 previously owned homes sold in a western city in the year 2000.
  • The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881.
  • Simple random samples of size 100.

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

s =(\sigma )/(√(n) )   ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and \sigma is the standard deviation.

Now, put the known values in the equation (1).

s = (37881)/(√(100) )

s = 3788.1

\rm s \approx 3788

So, the correct option is A).

For more information, refer to the link given below:

brainly.com/question/18403552

Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation s = (37881)/(√(100)) = 3788.1

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Two sides of a triangle have lengths 9 and 15. What must be true about the length of the third side? less than 6 less than 15 less than 9 less than 24

Answers

Answer:

D. 6<x<24.

Step-by-step explanation:

Let x be the length of third side of our triangle.

We have been given that two sides of a triangle have lengths 9 and 15.

To find the possible length for 3rd side of our triangle we will use triangle inequality theorem.

Triangle inequality theorem states that the sum of the lengths of any two sides of a triangle should be greater than the length of the third side.

Using triangle inequality theorem we will get:

x+9-9>15-9

x>6

x<9+15

x<24

Therefore, the third side of triangle must be greater than 6 and less than 24 and option D is the correct choice.

40% as fraction and decimal

Answers

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)
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