MATHEMATICS COLLEGE

Y2 - 3y + 7 for y= -2

please help me

Answers

Answer 1
Answer:

Answer:9

Step-by-step explanation: -2x2-3x-2+7=9
Answer 2
Answer:

Answer:

9

Step-by-step explanation:

(-2x2) - (3x-2) + 7 = 9

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WILL GIVE BRAINLIEST Patrick decided to start his own business. his business made 35,000 the first year his profits have increased annually by an average of 2.5%a. write and iterative (explicit) rule to model the sequence formed by patricks profits each year. Show your work

b. use the rule you wrote to determine what the profits will be after twelve years from the start of his business. round your answer to the nearest dollar. do not round until the end! show all fo your work

Answers

(a)

his profits increase annually by 2.5%, thus the profits each year form a geometric sequence with r = 1.025

that is 100 + 2.5 = 102.5% = 1.025

a_(n) = 35000 × (1.025)^(n-1) ← explicit rule

(b)

a_(12) = 35000 × (1.025)^(11) = 45923....

Profits after 12 years ≈ $46000

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 28 bricks is selected. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all the bricks in the sample exceed 2.75 pounds? (b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Answers

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\n\n=P(z>(2.75-3)/(0.25)\n\n=P(z>(-0.25)/(0.25))\n\n=P(z>-1)\n\n=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\n\n=P(z>(3.75-3)/(0.25))\n\n=P(z>(0.75)/(0.25))\n\n=P(z>3)\n\n=0.9987

Hence, a) 0.8413, b) 0.9987.

A​ person's blood pressure is monitored by taking 8 readings daily. The probability distribution of his reading had a mean of 129 and a standard deviation of 7. a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the eight observations each day. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling​ distribution? c. Refer to​ (b). Find the probability that the sample mean exceeds 140.

Answers

Answer:

a) \mu_(\bar X)= 129

\sigma_(\bar X)= (7)/(√(8))=2.475

b) If the distribution is normal then the sampling distribution would be bell shaped and normal

c) P(\bar X >140)

And we can use the z score formula given by:

z =(\bar X -\mu)/(\sigma_(\bar X))

And replacing we got:

z =(140-129)/(2.475)= 4.44

And then we can find the probability using the complement rule and the normal standard distribution or excel and we got:

P(\bar X>140) = P(Z>4.44) =1-P(z<4.44) \approx 0

Step-by-step explanation:

For this case we have the following info:

n=8 represent the sample size

\bar X=129 the sample mean

s=7 the standard deviation

Part a

If we assume that the distirbution is bell shaped then we can find the parameters like this:

\mu_(\bar X)= 129

\sigma_(\bar X)= (7)/(√(8))=2.475

Part b

If the distribution is normal then the sampling distribution would be bell shaped and normal

Part c

We want this probability:

P(\bar X >140)

And we can use the z score formula given by:

z =(\bar X -\mu)/(\sigma_(\bar X))

And replacing we got:

z =(140-129)/(2.475)= 4.44

And then we can find the probability using the complement rule and the normal standard distribution or excel and we got:

P(\bar X>140) = P(Z>4.44) =1-P(z<4.44) \approx 0

Abigail invested $29,000 in an account paying an interest rate of 2.1% compoundedcontinuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 8 years?

Answers

Final answer:

Abigail can find out how much money she will have after 8 years continuously compounding interest by using the formula A = P*e^(rt), where A is the final amount, P is the principal ($29,000), r is the interest rate (0.021), and t is time in years (8). Once the values are inserted into the formula, it can be solved to find the total amount.

Explanation:

The problem that Abigail is facing can be solved using the continuous compound interest formula which is A = P*e^(rt). Here, A stands for the amount of money in the account after t years, P is the principal amount (the initial amount of money), r represents the annual interest rate (expressed as a decimal), and t is time in years. In this context:

  • P = $29,000
  • r = 2.1 /100 = 0.021
  • t = 8 years

Plug in these values into the formula:

A = 29000 * e^(0.021 * 8)

When calculated this would give the total amount to the nearest dollar.

Learn more about Continuous compound interest here:

brainly.com/question/32594953

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A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes. Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total

Answers

Answer:

Step-by-step explanation:

Given that:

There are 600 residents in the survey.

And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.

The objective is to construct a two by two table from the given data:

                       Diabetes

                    Yes                   No                          Total

Smoking  

Yes                  157                   230 - 157

                                               =  73                       230

No                     50                  370 - 50               600 - 230

                                               =  320                    = 370

Total              157 + 50             320+ 73

                      = 207                  = 393                    600

You go to buy a new sofa and find that it is on sale.The original price is $459. The markdown is 25%.
What will you have to pay for your sofa?

Answers

Answer:

344.25

Step-by-step explanation:

The Answer is: $344.25
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