Data for the estimated number of HIV cases worldwide between 1988 and 1996 suggests exponential growth in the number of cases over this time period. An appropriate transformation of the data (base-ten logarithms were used) produced a strongly linear scatterplot, and a regression analysis was performed on the transformed data.
Here is the computer output:
Predictor Constant Coef SE Coef T F
-151.281 2.038 -74.22 0.000
Year 0.076577 0.001023 74.84 0.000
S= 0.00792598 R-Sq= 99.9% R-Sg (adj ) =99.9%
Note that HIV cases are in millions.
Which of the following value is closest to the value that this model predicts for the number of HIV cases in 1998?
(a) 1.72 million cases
(b) 2.18 million cases
(c) 17.2 million cases
(d) 52.5 million cases
(e) The predicted value is negative because we are extrapolating beyond the range o f the explanatory variable

Answers

Answer 1

Answer:

d. 52.5 million cases

Step-by-step explanation:

from the data output in the question, we have the regression equation to be

log y = -151.281 + 0.076577x

y is the number of hiv cases which is in millions

x is the year of the hiv case

x = 1998

we put the value of x in the regression equation

log y = -151.281 + 0.076577(1998)

log y = -151.281 + 153.000846

log y  = 1.719846

since the result is in log form,

[tex]y=10^{1.791846}[/tex]

y = 52.5 million cases


Related Questions

What information will be useful to know to answer the main question? How can you get it? How will you use that information

Answers

Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

It would be helpful to know what the main question is in order to accurately determine what information would be useful to know and how to obtain and use it. Could you please provide the main question?

Twice the sum of a number
and -8.

Answers

Answer:

2x-8 is there more to the question?

Verify that sec^2 xsin^2 x = tan^2 x

Answers

Here's the solution,

[tex] \sec {}^{2} (x) \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex]

[tex] \dfrac{1}{ \cos {}^{2} (x) } \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex]

[tex] \dfrac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x) [/tex]

[tex] \tan {}^{2} (x) = \tan {}^{2} ( { {x}^{} }^{} ) [/tex]

A flexible metamateria/ is developed for use in robotics and prosthetics. A block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters. What is the edge length of the block of metamaterial?

Answers

The edge of a block of metamaterial is 10 centimeters.

What is surface area of a cube?

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, a block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters.

Here, 6a²=600

a²=100

a=10 centimeters

Therefore, the edge of a block of metamaterial is 10 centimeters.

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HELP WILL GIVE BRANLIEST!

Answers

Answer:

4 Units

Step-by-step explanation:

can someone please help me with this. whoever answers first will be the brainleyist

Answers

Answer:

Step-by-step explanation:

6(5+x) = 30 + 6x

1. Distribute the 6 to both the 5 and the x.

7x5x3 = 105

1. Just multiply them together.

28 - 3(2+4)/9 = 26

1. PEMDAS

2. Add inside the parenthesis: 28 - 3 x 6 / 9

3. Multiply: 28 - 18 / 9

4. Divide: 28 - 2

5. Subtract: 26

Here are the two sums
2/7 + 1/4 and 5/6 - 1/4
A. B

Which of the two sums is closer in value to 1/2?

You must show your working and state clearly whether the answer is A or B.

Note: Please use the “/“ key of your keyboard to enter the fractions (e.g. 2/7 as 2/7)

Answers

On solving the provided  question, we can say that - the value of the  fraction will be 1/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

x + x = 1/2

2x = 1/2

x = 1/4

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WILL MARK BRAINLIEST!
Solve for X in Parallelogram HGFE.

Answers

FH is made of UH and UF and the diagonal is made of two equal parts so

5x-7=19+19
5x-7=38
5x=45
x=9

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

Formula
Y-Y1= m(x-x1)

Answers

slope form -

y - y1 = m(x - x1)

y - (-3) = -2/3(x - 3)

y + 3 = -2/3x + 2

y = -2/3x - 1

What is the volume of cylinder b=11 h=6

Answers

Answer:

Step-by-step explanation:

2280.796

What is f×e where e={1,2,13} and f={44,8,2}?

Answers

Answer:

[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]

Step-by-step explanation:

The Cartesian Product of two sets is all pairs in which the first element of each pair comes from the first set, and the second element comes from the second set.

[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]

This was built using 1 from the first set paired with each number in the second set, then using 2 from the first set paired with each number in the second set, then 13 from the first set paired with each number in the second set.

Bad English!  Good solution!

Find the common difference if the 8th term is 55 and the first term is 13

Answers

Answer:

Step-by-step explanation:

Equation

L = a + (n - 1)*d

Givens

L = 55

a = 13

n =8

Solution

55 = 13 + (8 - 1)*d               Combine

55 = 13 + 7d                       Subtract 13 from both sides

55 - 13 = 7d

42 = 7d                               Divide by 7

d = 6

How do you find the rate of change in a parabola?

I need to know ASAP

Answers

Answer:

Pick 2 points on the parabola and find the slope by using those two points.

The slope formula is (y2-y1)/(x2-x1)

Step-by-step explanation:

What percent of the respondents feel that they expert player

Answers

its 68

The expert part says 68

Hafiz has $25. His sister has 1/5 as much as Hafiz. His father has 40% as much as Hafiz. Calculate how much money Hafiz, his sister and his father have in total.


please answer it ​

Answers

Answer:

Step-by-step explanation:

According to question, we know that

His Sister has "1/5*$25 which is equal to $5, and his father has "40%*$25 which is equal to 0.4 * $25 = $10". So, the money Hafiz, his sister and his father have in total

= $25+$5+$10 = $40

Given

Hafiz = $25

Sister = [tex]\frac{1}{5}[/tex]

Father = 40%

Find

Total money of Hafiz, Sister, and Father altogether.

SolutionSister

[tex]\frac{1}{5} X[/tex] $25

= $5

Father

40% (0.4) x $25

= $ 10

Add all

$ 25 + $ 5 + $ 10

Answer$ 40

Jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?

Answers

Answer:

24 shots

Step-by-step explanation:

[tex]\frac{15}{y}= \frac{63}{100}[/tex]

y × 63 = 15 × 100

63y = 1500

63y ÷ 63 = 1500 ÷ 63

[tex]y=23\frac{17}{21}[/tex]

Hep me please i would really appreciate it

Answers

Answer:

Part A: 4,300 ≥ 2500 + 0.12s

Part B: Less than or equal to $15,000

Part C: In the image

Step-by-step explanation:

For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).

For Part B:

Using the inequality, solve for s

4,300 ≥ 2500 + 0.12s

Subtract 2500 from both sides

1800 ≥ 0.12s

Now divide both sides by 0.12 to isolate s

15000 ≥ s

So sales must be less than or equal to 15000.

Part C:

A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many different ways could the committee be made?

Answers

Answer:

i dont know

Step-by-step explanation:

sorry big homie on school

Can somebody help me please

Answers

Answer:

4096/531441    

is your anwer

Step-by-step explanation:

A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!

Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours

Answers

The answer is D. 120x + 60 = 6 hours

Answer:d. 120x+60=780

Step-by-step explanation:

120 cost per x hours

Flat Rental cost 60

120x+60=780

-60 as the flat rate which won’t change based on time.

120x=720

Divided by a rate of 120 per hour

x=6 hours

Other than itself, which angle is congruent to GDA?

Answers

DEC
(Do not fully trust me on this if it’s important!!)

factor each square root
0.7 times square root of 300
-0.125 times square root of 192

Answers

Answer:

To factor the first expression, "0.7 times square root of 300", we can rewrite it as:

0.7 * sqrt(300)

The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:

0.7 * sqrt(2 * 2 * 3 * 5 * 5)

Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:

0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)

Combining like terms, we get:

0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)

= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)

This is the fully factored form of the expression "0.7 times square root of 300".

To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:

-0.125 * sqrt(192)

The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:

-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)

Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:

-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)

Combining like terms, we get:

-0.125 * 6 * sqrt(2)

= -0.75 * sqrt(2)

This is the fully factored form of the expression "-0.125 times square root of 192".

Answer:

for the second one the answer is - square root of 3

Step-by-step explanation:

i could only solve the second one sorry

A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature? (2 points)

Group of answer choices

0.23 C°

0.81 C°

1.3 C°

2.1 C°

Answers

Answer:

Step-by-step explanation:

.b

i just answered that question

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

tysm! :)

Answers

If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.

What is a geometric sequence?

In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.

How to calculate the nth term of a geometric sequence?

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.

Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:

x, 7x, 49x, 343x, .....

Check:

7/1 = 49/7 = 343/49 = 7 (proof).

Therefore, this is a geometric sequence.

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Complete Question:

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

arithmetic

geometric

both

neither

Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?

Answers

The probability of P(B and C) is 1/6

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. It is more likely that an event will occur if its probability is higher.

For e.g., A straightforward illustration is tossing a fair (impartial) coin.

Given that, the probabilities, P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12

P(A and B) = P(A)×P(B)

Therefore,

1/12 = 1/8 × P(B)

P(B) = 8/12 = 2/3

Now,

P(B and C) = P(C)×P(B)

P(B and C) = 1/4×2/3

P(B and C) = 1/6

Hence, P(B and C) = 1/6

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Write 12% as a simplified ( reduced ) fraction

Answers

Answer:

3/25

Step-by-step explanation:

12% is equal to 0.12, which is equal to 12/100.

Simplify.

12/100

Divide numerator and denominator by 2.

6/50

Divide numerator and denominator by 2.

3/25.

3/25 would be the reduced fraction.

Which statements are true about a triangular pyramid? Check all that apply
It has exactly to faces that are triangles.
has exactly three faces that are triangles.
It has exactly four faces that are triangles
chas 4 vertices
it has 5 faces
It has 6 edges

Answers

Answer:

✔︎ C) It has exactly four faces that are triangles.

✔︎ D) It has 4 vertices.

✔︎ F) It has 6 edges.

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!!

Answer:

C) It has exactly four faces that are triangles.

D) It has 4 vertices.

F) It has 6 edges.

Step-by-step explanation:

hope it helps..

if john makes $55 working 2 hours , how much would he make working 8 hours ?

Answers

Answer:

$220

Step-by-step explanation:

Find the amount of money John makes in one hour:

[tex]55\div2=27.5[/tex]
[tex]=27.5[/tex]

John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.

[tex]27.50\times8=220[/tex]
[tex]=220[/tex]

John made "$220 dollars an hour."

Hope this helps.

Which symbol makes the number sentence true?

-2.5O 10/4
A. <
B. >
C. =

Answers

Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry

Step-by-step explanation:

A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34.
Is there sufficient evidence to reject the null hypothesis? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

The chi-square test statistic = 24.68.

The critical value for df = 11.34.

Since the calculated value of the chi square  falls in the critical region it is concluded that the two variables are dependent.

1) The null and alternative hypotheses are

H0: candy preferences of  students is independent of age.

Ha: candy preferences of  students is  not independent of age.

As the calculated value χ² = 24.68 lies in the critical region  χ² ≥χ² =11.34, null hypothesis is rejected.

Therefore, we conclude that there is not enough evidence to accept the null hypothesis .

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