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

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

Hafiz = $25

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

Father = 40%

Total money of Hafiz, Sister, and Father altogether.

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

= $5

40% (0.4) x $25

= $ 10

$ 25 + $ 5 + $ 10

Answer:

i dont know

Step-by-step explanation:

sorry big homie on school

Answer:

2x-8 is there more to the question?

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

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.

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

aₙ = a₁rⁿ⁻¹

Where:

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

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

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:

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.

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:

The edge of a block of metamaterial is 10 centimeters.

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

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

Step-by-step explanation:

slope form -

y - y1 = m(x - x1)

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

y + 3 = -2/3x + 2

y = -2/3x - 1

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

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 .

Answer:

Step-by-step explanation:

.b

i just answered that question

Answer:

Step-by-step explanation:

2280.796

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

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!

Answer:

4096/531441    

is your anwer

Step-by-step explanation:

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

Answer:

4 Units

Step-by-step explanation:

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

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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its 68

The expert part says 68

Answer:

Step-by-step explanation:

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

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.

Here's the solution,

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]