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I am Lyosha [343]
3 years ago
15

The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t

he population. What is the predicted population when x = 15? Round your answer to the nearest whole number.
A.3
B.126
C.316
D.9537
Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Option C: 316 is the predicted population when x=15

Explanation:

The regression equation for an exponential data is \log y=0.14x+0.4

Where x is the number of years and

y is the population

We need to determine the predicted population when x=15

The population x can be determined by substituting x=15 in the equation \log y=0.14x+0.4

Thus, we have,

\log y=0.14(15)+0.4

\log y=2.1+0.4

\log y=2.5

Using the logarithmic definition \log _{a}(b)=c then b=a^{c}

\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}

y=316.22776 \ldots

Rounding off to the nearest whole number, we get,

y=316

Thus, the predicted population when x=15 is 316

Hence, Option C is the correct answer.

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Does the point (9.5, 144) make sense in this context? Explain
Stolb23 [73]
No, (9.5, 144) does not make sense because there is no point of 9.5 and when you divide the ounces of water by the flavoring packets you end up with 12, and if you were to simplify that it would end up with 1 flavor packet and 12 ounces of water.
6 0
3 years ago
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you are attempting to guess a 3 digit number and have the following information. there are no 0s the number is even. the sum of
ss7ja [257]

The 3-digit number is 132

<h3>How to determine the 3-digit number?</h3>

The given parameters are:

  • Number of digits = 3
  • Sum of digits = 6
  • No 0s in the number
  • No repeated digit

The first highlight above implies that the number can be any of 100 to 999

The other highlights imply that the no digit can appear repeatedly, the highest digit in the number is 3, and the number must end with 2.

So, we have:

X32

The first digit is the smallest.

1 is smaller than 3 and 2.

So, we have

132

Hence, the 3-digit number is 132

Read more about digits and numbers at:

brainly.com/question/26856218

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7 0
1 year ago
Please help me. Given the explicit formula for an arithmetic sequence find the 52nd term.
ivann1987 [24]

Answer:

a = -41 +30n

52nd term is

a52 = -41 + 30(52)

a52 = -41 + 1560

a52 = 1519

3 0
3 years ago
5(t - 3) -2t = -30 what is the answer?
maxonik [38]

Answer:

t = -5

Step-by-step explanation:

Solve for t:

5 (t - 3) - 2 t = -30

Hint: | Distribute 5 over t - 3.

5 (t - 3) = 5 t - 15:

5 t - 15 - 2 t = -30

Hint: | Group like terms in 5 t - 2 t - 15.

Grouping like terms, 5 t - 2 t - 15 = (5 t - 2 t) - 15:

(5 t - 2 t) - 15 = -30

Hint: | Combine like terms in 5 t - 2 t.

5 t - 2 t = 3 t:

3 t - 15 = -30

Hint: | Isolate terms with t to the left hand side.

Add 15 to both sides:

3 t + (15 - 15) = 15 - 30

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

3 t = 15 - 30

Hint: | Evaluate 15 - 30.

15 - 30 = -15:

3 t = -15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 t = -15 by 3:

(3 t)/3 = (-15)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

t = (-15)/3

Hint: | Reduce (-15)/3 to lowest terms. Start by finding the GCD of -15 and 3.

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer: t = -5

5 0
3 years ago
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Jamie says that the expression 6x-2x+4 and 4(x+1) are not equivalent because one expression has a term that is subtracted and th
Sati [7]

Answer:

1. D 2. A 3. Distribute the four in 4(x+1)

Step-by-step explanation:

1. It says that Jamie is saying that they are "not equivalent".

2. You have to use the distributive property to distribute the 4 to x and to the 1.

3. After distributing, compare the two expressions and now see if they are equivalent or not.

8 0
2 years ago
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