according to the massachusetts department of health, 224 women who gave birth in the state of Massachusetts in 1988 tested positive for the HIV antibody. Assume that in time, 25% of the babies born to such mothers will also become HIV positive. If samples of size 224 were repeatedly selected from the population of children born to mothers with HIV antibody, what would be the mean number of infected children per sample?

Answers

Answer 1

The mean number of infected children per sample can be calculated by multiplying the sample size (224) by the probability of a child being HIV positive (25%). Therefore, the mean number of infected children per sample would be 56.

To determine the mean number of infected children per sample, we use the concept of expected value. The probability of a child being HIV positive is given as 25%. This means that in a sample of children born to mothers with HIV antibody, we can expect 25% of them to be infected.

By multiplying this probability by the sample size (224), we obtain the mean number of infected children per sample, which is 56. This value represents the average number of infected children we would expect to find in repeated samples of the same size.

To learn more about probability  click here :

brainly.com/question/31828911

#SPJ11


Related Questions

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

The ratio of mass to volume for a type of metal is 27 g to 10 cm³ a sample of the metal has a mass of 81 g what is the volume in cubic centimeters of the sample of metal

Answers

Answer:

volume in cubic centimeters = 30 cm³

Step-by-step explanation:

Ratio of mass to volume = 27 g : 10 cm³

what is the volume in cubic centimeters of the sample of metal if mass = 81 g

Let

volume in cubic centimeters = v

Ratio of mass to volume = 81 g : v

Equate both ratios

27 g : 10 cm³ = 81 g : v

27/10 = 81/v

Cross product

27 * v = 10 * 81

27v = 810

v = 810/27

v = 30 cm³

volume in cubic centimeters = 30 cm³

a teacher that likes two different numbers p and q and states that p plus q equals 0 which statement could be true about these two numbers
(A)both numbers are positive
(B)both numbers are negative
(C)one number is zero in the other is positive
(D)one number is positive and the other is negative

Answers

D, one number is positive and the other is negative. The only way it could equal 0 is to cross the other out. An example is, -5+5=0


Help me with this and you’ll be marked as Brainliest

Answers

Answer:

A.) The base is 5 and the exponent is 3

B.) The base is 4 the exponent is 7

C.) The base is 3 the exponent is 4

D.) The base is 6 the exponent is 8

Step-by-step explanation:

Show work and thank you

Answers

Square root of 36 is 6
I dont know what is this called 36 is 6 2/3

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Write the inequality in words.

5n – 10 > 26


A. Ten less than a number is less than or equal to twenty-six.


B. Ten less than five times a number is greater than twenty-six.


C. Five times n less than ten is twenty-six.


D. Ten plus five times n is less than or equal to twenty-six.

Answer:

Write the inequality in words.

5n – 10 > 26

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:
n > 36/5

Interval Notation:
(36/5, ∞)

THANKS
0

Answers

Answer:

B. Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n > 36 /5

Interval Notation:

( 36 /5 , ∞ )

Are the ratios 1:2 and 4:7 equivalent?

Answers

Answer:

No

Step-by-step explanation:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

Please help I do not know the answer

Answers

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

Solve the equation for a.

3a+13.61=−9.43

Answers

Answer: a = -7.68

STEPS:

- Subtract 13.61 from both sides

- Simplify

- Divide both sides by 3

Find the slope of the line

Answers

Answer:

m = 3/4

Step-by-step explanation:

slope of a line equation:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = (3-0)/(2-(-2))

m = 3/4

Cost to store: $140

Markup: 25%

The selling price is $
what is the selling price ?

Answers

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175


A variable X has a probability density function:
F(x) = k x² for -1

Calculate:
(a) The value of the constant K;
(b) The mean and variance of X;
(c) The cumulative distribution function of

Answers

To find the value of the constant k, we need to integrate the probability density function (PDF) over its entire range and set it equal to 1, since the total area under the PDF should be 1.

(a) Calculating the value of the constant K:

∫[from -1 to 1] kx² dx = 1

Integrating, we get:

(k/3) [x³] from -1 to 1 = 1

(k/3)(1³ - (-1)³) = 1

(k/3)(1 + 1) = 1

(2k/3) = 1

2k = 3

k = 3/2

Therefore, the value of the constant k is 3/2.

(b) Calculating the mean and variance of X:

To find the mean (μ), we need to calculate the expected value of X. Since the PDF is symmetric around x = 0, the mean will be 0.

μ = 0

To find the variance (σ²), we need to calculate the second moment of X around its mean.

σ² = ∫[from -1 to 1] x² * f(x) dx

Substituting the PDF f(x) = (3/2)x²:

σ² = ∫[from -1 to 1] x² * (3/2)x² dx

σ² = (3/2) ∫[from -1 to 1] x^4 dx

σ² = (3/2) * (1/5) [x^5] from -1 to 1

σ² = (3/2) * (1/5) * (1^5 - (-1)^5)

σ² = (3/2) * (1/5) * (1 - (-1))

σ² = (3/2) * (1/5) * 2

σ² = 3/5

Therefore, the mean of X is 0, and the variance is 3/5.

(c) The cumulative distribution function (CDF) of X is found by integrating the PDF from negative infinity to x:

F(x) = ∫[from -∞ to x] f(t) dt

For the given PDF f(x) = (3/2)x², the cumulative distribution function can be calculated as follows:

F(x) = ∫[from -∞ to x] (3/2)t² dt

F(x) = (3/2) ∫[from -∞ to x] t² dt

F(x) = (3/2) * (1/3) [t³] from -∞ to x

F(x) = (1/2) x³

Therefore, the cumulative distribution function (CDF) of X is F(x) = (1/2) x³.

To know more about probability density function (PDF), refer here:

https://brainly.com/question/32048774#

#SPJ11

Will be marking brainliest for the correct answer!!

Maximum answers is 3, so please 3 of the following ^^

Answers

Answer:

x = 6

11/2x + 2/3x = 37

37/6x = 37

Step-by-step explanation:

these are correct since when you evaluate the equation, you only get 6 being the value for x. And all these three options I wrote above lead to x = 6

Hope this helped :)

15% of what number is 30?
please give the steps! i will give brainliest if you give the steps

Answers

Answer:

200

Step-by-step explanation:

15% is 0.15

0.15x = 30

x = 30/0.15 = 200

Find the probability P(not E) if P(E)=0.39.
The probability P(not E) is _______ (Simplify your answer.)

Answers

The probability that the event E does not happen is:

P(not E) = 0.61

How to find the probability?

First, remember that for any experiment with N outcomes, the sum of the N probabilities for these outcomes must be 1.

Then if we have two outcomes, E happens or E does not happen, we have:

P(E) + P(not E) = 1

Replace the value that we know:

0.39 + p(not E) = 1

Solve for the probability we want:

P(not E) = 1 - 0.39

P(not E) = 0.61

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ4

Jasper spent $9.74 at the bookstore. He gave the clerk $10.00. Which shows the correct change jasper should get back? 24 cent, 26 cent, 34 cent, or 36 cent? I will make you brainlest

Answers

Answer:

26 cents

Step-by-step explanation:

S0, lets just subtract the 10 by the 9.74 to get our answer:

10-9.74

=

0.26

So, lets remember that there are 100 cents in 1 dollar.

So 1 cent would be: 0.01

Our answer we got above is 0.26

So that must be 26 cents.

Answer:

26

Hope this helps! ;)

Find Sn for the following arithmetic sequences described.

a1 = 132, d = -4, an = 52

Answers

Answer:

We can use the formula for the nth term of an arithmetic sequence to find n:

an = a1 + (n - 1)d

Substituting the given values, we get:

52 = 132 + (n - 1)(-4)

Simplifying and solving for n, we get:

n = 21

So, the sequence has 21 terms.

We can use the formula for the sum of the first n terms of an arithmetic sequence to find Sn:

Sn = n/2(2a1 + (n - 1)d)

Substituting the given values, we get:

Sn = 21/2(2(132) + (21 - 1)(-4))

Simplifying, we get:

Sn = 21/2(264 - 80)

Sn = 21/2(184)

Sn = 1932

Therefore, the sum of the first 21 terms of the arithmetic sequence is 1932.

7th grade math help me pleaseeee

Answers

Answer:

a)b=4

b)x=-9

c)r=6

Step-by-step explanation:

Question 2.

a)5b+6=26

5b=26-6

5b=20

b=4

b)6-x=15

-x=15-6

-x=9

x=-9

c)r/2+2=5

r/2=5-2

r/2=3

Multiply both sides by 2 to remain with r

r/2×2=3×2

r=6.

The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12 discs

Step-by-step explanation:

Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.

A_rectangle = length × width

A_rect = 56 × 33

A_rect = 1848 cm²

It is now melt down and recast into disc's of 7 cm radius and similar thickness.

Thus;

Area of one disc = πr² = π × 7² = 49π

Thus,number of disc's cast = 1848/49π

number of disc's cast = 12

find the values of x and y

Answers

Answer:

the answer is X = 40 Y=50

Step-by-step explanation:

HELP!! :'(
An exponential function does not have a constant rate of change, but it has ____.

A. a slope
B. a parabolic shape
C. None of these
D. constant ratios

Answers

D a constant ratios I think so I’m sorry if I’m wrong

This would mean so much! Find the area of each figure. Write the
equations and solve showing ALL the work.(143) is the answer I need help with the work

Answers

Answer:

143 ft2

Step-by-step explanation:

Formula for parrallelogram: A= BxH

13x11= 143

Determine L ¹{F}. — - 14s - 25 F(s) = (s + 3)² (s+5)

Answers

The inverse Laplace transform of F(s) = (s + 3)² (s + 5) is given by L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t).

To determine the inverse Laplace transform of F(s) = (s + 3)² (s + 5), we can use the properties and formulas of Laplace transforms.

The inverse Laplace transform of F(s) can be obtained by applying partial fraction decomposition, followed by looking up the corresponding inverse Laplace transform in a table of Laplace transforms.

Let's first factorize F(s):

F(s) = (s + 3)² (s + 5)

Next, we perform partial fraction decomposition. We express F(s) as the sum of simpler fractions:

F(s) = A/(s + 3) + B/(s + 3)² + C/(s + 5)

To find the values of A, B, and C, we can equate the numerator of F(s) with the sum of the numerators in the partial fraction decomposition:

(s + 3)² (s + 5) = A(s + 3)(s + 5) + B(s + 5) + C(s + 3)²

Expanding the equations and collecting like terms, we get:

s² + 8s + 15 = (A + C)s² + (8A + 3C + B)s + (15A + 5B)

Equating the coefficients of the terms on both sides, we have the following system of equations:

A + C = 1

8A + 3C + B = 8

15A + 5B = 15

Solving this system of equations, we find A = 1/2, B = -1/2, and C = 1/2.

Now, we can rewrite F(s) in terms of the partial fractions:

F(s) = 1/2/(s + 3) + (-1/2)/(s + 3)² + 1/2/(s + 5)

Looking up the inverse Laplace transform of each term in the table, we find:

L⁻¹{1/2/(s + 3)} = 1/2 * e^(-3t)

L⁻¹{(-1/2)/(s + 3)²} = -t * e^(-3t)

L⁻¹{1/2/(s + 5)} = 1/2 * e^(-5t)

Therefore, the inverse Laplace transform of F(s) is:

L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t)

This is the desired result for the inverse Laplace transform of F(s).

To learn more about inverse Laplace transform visit : https://brainly.com/question/27753787

#SPJ11

Suppose you are planning a qualitative study to examine the problem of attrition from an online doctoral program. Describe the role of the literature review in this qualitative study.


Suppose you are planning a quantitative study of the factors that predict attrition from a doctoral program. When should you complete a literature review for this quantitative study? Before or after determining your research hypothesis or research questions?

Answers

The required answer is The literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

Explanation :

The role of literature review in the qualitative study.To examine the problem of attrition from an online doctoral program in a qualitative study, a literature review is essential to identifying the theoretical frameworks and practices for reducing attrition. Researchers need to review the current theories on student retention, persistence, and attrition to examine the factors contributing to these trends.

By reviewing related literature, researchers gain insight into how student attrition is approached in existing literature. Additionally, literature review helps in developing the research problem and objectives, identifying gaps in the current literature that the study can fill. This provides a solid foundation for conducting qualitative research and enables the researcher to identify the gaps and the direction the study should take.

When should you complete a literature review for a quantitative study?For a quantitative study of the factors that predict attrition from a doctoral program, a literature review should be completed before determining your research hypothesis or research questions.

A literature review is essential as it helps researchers to identify the current literature, theories, and research studies conducted in the area of attrition in doctoral programs.

By conducting a literature review, the researcher can identify gaps, inconsistencies, and areas that require more attention. This allows researchers to develop an appropriate research design, research questions, and hypotheses that address the identified gaps in the literature.

Thus, the literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

Learn more about literature review here https://brainly.com/question/30509743

#SPJ11

Regression analysis was applied between the number of hours a student studied for a test and the test score and the following regression equation was obtained y = 50 +7 If a student spends 5 hours studying for a fost what is the test score? 50 we do not have enough information to answer this question Question: What is the critical thom the tables for alle hypothesisamos 20 when population standard deviation is unknown Considerio C-412 -1.725 1.720 4125 Question : A contingens position to an applicant the card scores foto Interviews. Eachinewasa se 200 000 An HR behou tendants score can be prices on the scores of the following regression out predict the core of the fourth based on the free ANOVA 3 MS Rey 3 15131 007 ti Ener Tot OURCE Predor Coutine Standard Lot 02145 80150 1 0033 000 DO 47400 no 01264 What is the 31

Answers

In the first question, based on the given regression equation, if a student spends 5 hours studying for a test, the predicted test score would be 50 + 7(5) = 85.

In the second question, the information provided is unclear and incomplete. The given text appears to contain multiple unrelated statements and lacks sufficient context or specific details to answer the question regarding the critical value for hypothesis testing.

1. For the first question, the regression equation is given as y = 50 + 7x, where y represents the test score and x represents the number of hours studied. To find the test score when a student spends 5 hours studying, we substitute x = 5 into the equation: y = 50 + 7(5) = 85.

2. However, the second question is unclear and does not provide sufficient information or context to determine the intended calculation or answer. It mentions something about applicant interviews, regression output, and ANOVA, but the information is not well-defined or organized. Without specific details and clear instructions, it is not possible to provide a meaningful response.

Learn more about hypothesis testing here: brainly.com/question/17099835

#SPJ11

please dont put any links or I'll report:(​

Answers

Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

I am confused about this equation; 5x+2y=6, 7x+8y=-2 Does anyone think they can help me out?

Answers

Answer:

I cannot solve it step-by-step because like I'm helping other people cuz I'm busy with my homework so just I'm going to direct you the question you're supposed to solve simultaneous equation by any method example elimination method substitution method then you get the answer if you get stuck you can inform me

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

Answer:

5.7

Step-by-step explanation:


Find the margin of error E for a 97% confidence
interval for (p1 − p2),
given that n1 = 108, n2 = 723, x1
= 62, and x2 = 235
Round your answer to three decimal places.

Answers

The margin of error for a 97% confidence interval for (p1 - p2) is 0.159.

To find the margin of error (E) for a 97% confidence interval for (p1 - p2), we can use the following formula:

E = Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

Where:

Z is the z-score corresponding to the desired confidence level. For a 97% confidence level, the z-score is approximately 2.170.

p1 and p2 are the sample proportions for populations 1 and 2, respectively.

n1 and n2 are the sample sizes for populations 1 and 2, respectively.

To calculate p1 and p2, we divide the sample counts (x1 and x2) by their respective sample sizes (n1 and n2).

p1 = x1 / n1 = 62 / 108 ≈ 0.574

p2 = x2 / n2 = 235 / 723 ≈ 0.325

Substituting the values into the formula, we have:

E = 2.170 * sqrt((0.574 * (1 - 0.574) / 108) + (0.325 * (1 - 0.325) / 723))

Calculating this expression, we find:

E ≈ 2.170 * sqrt(0.004957 + 0.000443)

≈ 2.170 * sqrt(0.005400)

≈ 2.170 * 0.073486

≈ 0.159

For more such question on error visit:

https://brainly.com/question/28771966

#SPJ8

Thank you in advance.

Answers

I think it’s C, my friend took the test, and he said C. Tell me if incorrect
Other Questions
Eli owns an insurance office, while Olivia operates a maintenance service that provides basic custodial duties. For the month of May, the following transactions occurred. May 2 Olivia decides that she will need insurance for a one-day special event at the end of the month and pays Eli $300 in advance. May 5 Olivia provides maintenance services to Elis insurance offices on account, $425. May 7 Eli borrows $500 from Olivia by signing a note. May 14 Olivia purchases maintenance supplies from Spot Corporation, paying cash of $200. May 19 Eli pays $425 to Olivia for maintenance services provided on May 5. May 25 Eli pays the utility bill for the month of May, $135. May 28 Olivia receives insurance services from Eli equaling the amount paid on May 2. May 31 Eli pays $500 to Olivia for money borrowed on May 7.Record transactions for (((Olivias )))Maintenance Services.Using the format shown below, enter the impact of each transaction on the accounting equation for each company.ELIS INSURANCE SERVICES OLIVIAS MAINTENANCE SERVICESAssets = Liabilities + Stockholders' Equity Assets = Liabilities + Stockholders' EquityMay 2 $300 $300 $0 $300 $0 $0 $(300)571419252831 A random sample of 19 size AA batteries for toys yield a mean of 4 hours with standard deviation, 0.78 hours. (a) Find the critical value, t*, for a 99% Cl. t* = (b) Find the margin of error 1 1 2 3 3 4 5 5 5 6 6 6 6 9 10 10 10 11 11 11 12 12 12 12 12 14 14 14 14 15 15 15 15 16 16 17 17 17 18 18 18 19 19 19 19 23 24 26 29 29The worksheet "Transportation Costs" contains the amount (rounded to the nearest dollar) that fifty, randomly selected, Kwantlen students spent on transportation on September 22, 2021. Please do the following with this data. Construct a stretched stem and leaf diagram. (You may do this by hand or in Excel.) What does it tell you about the distribution of costs in this sample?Using Excel, use the data to generate the following: an ordered array (ascending order) a histogram an ogive a frequency table a percent frequency table a cumulative frequency table.Why isnt it appropriate to use this data to do a pie chart or bar chart?Use Excel to calculate the three measures of central location, the standard deviation, range and interquartile range. Comment generally on what you found in this dataset. For instance, is the distribution symmetrical? Are there any outliers? How did you measure this? There are two correct ways to gauge if a value is an outlier. You can use either. On the first day of the fiscal year, a company issues a $960,000, 10%, 5-year bond that pays semiannual interest of $48,000 ($960,000 x 10 % x 1/2), receiving cash of $884,171. Journalize the entry to record the issuance of the bonds. If an amount box does not require an entry, leave it blank. Interest Payable _________Discount on Bonds Payable ___________Cash ____________ A "Trojan Horse" is a hijacked computer that can be remote-controlled by the attacker to respond to the attacker's commands.a. Trueb. False when a monopolist incurs a loss in the short run, it will a. produce as long as total revenue is sufficient to cover fixed costs. b. always shut down. c. always produce where marginal cost equals marginal revenue. d. produce as long as total revenue is sufficient to cover variable costs. From the following, prepare a balance sheet for Revere Co. Cleaners at the end of June 201x: Cash, $52,000, Equipment, $30,000, Accounts Payable, $15,000 B Revere, Capital GID Prepare the balance sheet Complete the heading as well as the body of the statement. 20. Determine the interest rate for a billing period with 31 days for a loan that charges an APR of 9%. in the context of the passage as a whole, the authors discussion of eddys study in the sixth and seventh paragraphs primarily serves to Increase uncertainty resulting from the global financial crisis _____ the required return on investment in equity According to an article, 12.4% of Internet stocks that entered the market in 1999 ended up trading below their initial offering prices. If you were an investor who purchased four Internet stocks at their initial offering prices, what was the probability that at least three of them would end up trading at or above their initial offering price? (Round your answer to four decimal places.)P(X 3) =____ as seen from above in the image, a string is wrapped around the edge of a uniform cylinder of radius r = 42 cm and mass m = 5 kg which is initially resting motionless on a frictionless table Perform one step of the gradient descent method w/ the exactline search to minimize the function h(x,y)= 2cos(x^2+y^2). Initialguess is (1,1) The forecast for 2019 by the linear regression method is 87.3723 83.7387 89.0824 84.9406forecasting regression File Edit View Insert Format Tools Data Window T ABC ABC B Calibri 11 fx = A C E *** You want to estimate, given 95% confidence, the population proportion of adults who think they should be saving more than they currently are. Your estimate must be accurate within 5% of the population proportion. a.) Find the minimum sample needed to attain this level of confidence.340 367 385375 at full power, how long would it take for the car to accelerate from 0 to 56.0 mph ? neglect friction and air resistance. Which of the following items would appear in the financing activities section of the statement of cash flows? Multiple Choice a.Cash outflow for the purchase of land. b.Cash inflow from sales revenue c.Cash inflow from issuance of common stock d.Cash outlow for the payment of accounts payable Your boss is considering a 4-year investment project. 20 If the project is accepted, it would require an immediate spending of $545 to buy all necessary production equipment. This equipment would be sold at the end of the project and bring your company estimated $196 in sale proceeds after taxes (or after-tax salvage value) Your boss's consulting team estimated that the annual after-tax profits (or operating cash flows) would equal $163. The team also recommends immediately setting aside $57 in cash to cover any unforeseen expenses. 110 The required annual rate of return is 9.2%. Calculate the Net Present Value of this proposed investment project. If your answer is negative, don't forget the minus sign! Increase decimal places for any intermediate calculations, from the default 2 to 6 or higher. Only round your final answer to TWO decimal places. For example, 1,000.23 or -1,000.23 Do NOT use "$" in your answer. An epidemiologist is interested in estimating the incidence of appendicitis in the state of Texas. People who had appendicitis had their appendix removed; therefore, they are not at risk to have appendicitis in the future. If the PI incorrectly failed to exclude people who had previously had appendicitis from the study population, how would the calculated incidence rate compare to the true incidence rate (e.g., would the calculated incidence rate be higher or lower than the true incidence rate)? Please explain your answer 1-2 full sentences. For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on data from the National Health Survey). Hypertension is commonly defined as a systolic blood pressure above 140. If a woman between the ages of 18 and 24 is randomly selected, find the probability that her systolic blood pressure is greater than 140.