A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet​

Answers

Answer 1
Answer:

x - the shortest side

2x

x + 28

The sum of these must be equal to the perimeter of the flower bed, so

x + 2x + x + 28 = 184

4 x + 28 = 184  Combined like terms

4x = 156  Subtracted 28 from both sides

x = 39  Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet


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Geometry Question Number 16

According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts.a. What is the mean amount spent on insurance?
b. What is the standard deviation of the amount spent?
c. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year?
d. What is the probability a family spends more than $3,000 per year?

Answers

Answer: a. 2100

b. 981.5

c. 0.471

d. 0.235


Step-by-step explanation:

Given: According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance.

If the money spent is uniformly distributed between these amounts.

Let A=$400 and B= $3,800

a. The mean amount spent on insurance = (A+B)/(2)=(3800+400)/(2)=(4200)/(2)=\$2100

b. The standard deviation of the amount spent=

\sqrt{((B-A)^2)/(12)}\n=\sqrt{((3800-400)^2)/(12)}\n=\sqrt{((3400)^2)/(12)}

=(3400)/(√(12))=981.495\approx981.5

c. To calculate, the probability they spend less than $2,000 per year on insurance per year ,it means the amount is between 400 and 2000 i.e

Amount=$2000-$400=$1600

Then P(400<insurance amount<2000)=(amount)/(B-A)=(1600)/(3400)=0.4705\approx0.471

d. Ia a family spends more than $3000 then the amount is between $3000 and $3800, i.e. Amount= $3800-$3000=$800

Now,

P(3000<insurance amount<3800)=(800)/(3400)=(4)/(17)=0.235


a. Because of the uniform distribution, the mean = the middle of both numbers, or 1/2(3800 + 400) = $2100.
b. To find the standard deviation, we take the variance ((b-a)/√12) and plug in the values:
(3800 - 400)/√12
3400/√12
~981.5
c. Again, because of uniform distribution, we just have to find the percentage that all numbers less than 2000 have in the range of 400 to 3800. To make things simple, I'm going to subtract 400 from both 3800 and 2000 so the data cuts off at 0. The equation is:
1600 = 3400 * x
16/34 = x (simplified from 1600/3400)
8/17 = x
8/17 is about 0.47, or 47%, so that's your amount.
d. same thing with c, but slightly different:
3800 - 400 = 3400, 3000 - 400 = 2600
3400 - 2600 = 800
800 = 3400 * x
8/34 = x
4/17 = x
4/17 is about 0.235.


Employees at a large company are surveyed about their health insurance status. Employees are coded as "1" if health insurance is obtained through the company’s benefit program, "2" if health insurance is obtained from another source (such as through a spouse’s employment benefit program), or "0" if the employee does not have health insurance. This variable is:categorical numerical quantitatively categorical All answers of the answer options are correct.

Answers

Answer:

Categorical is the correct answer to this question.

Step-by-step explanation:

The variable class standing is "Categorial".

  1. As a categorical variable, it is a factor that can accept one of a small, and typically set, range of additional values, assigned each person, and another unit of measurement to a specific group or marginal class on the grounds of some long-lasting.
  2. The data obtained may be either prescriptive or numeric.
  3. Numbers also make no sense when you allocate significance to certain numbers.
  4. Categorical data will help you go there. Classic data is when statistics are obtained in classes or categories.

Please answer this correctly without making mistakes

Answers

Answer: 4.3 mi

Step-by-step explanation:

From Oxford, getting to Kingswood takes 7.5mi, and getting to Norwood takes 11.8mi.  Thus, simply do 11.8-7.5 to get 4.3mi.

Hope it helps <3

Simplify the expression. 24x + 32 + 4x + 3 What is the coefficient of x? What is the constant?

Answers

28 is the coefficient of x and 35 is the constant

What is 35 times 10 equal

Answers

Answer:

350

Step-by-step explanation:

6. (02.01 MC)The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.