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yuradex [85]
3 years ago
13

I need help solving this word problem

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:


Step-by-step explanation:


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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
djyliett [7]

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.

7 0
4 years ago
What equation represents a circle whose center is located at (-6,2) and whose radius is 10 units?
Anna [14]
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100

Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
3 0
3 years ago
Write an algebraic expression for the word phrase six times a lenght w?
pychu [463]
<em>Depending on what you trying to say...
</em>
Six times a length (w) is 6w
or 
Six times a length is w, is 6l=w

<em>But I can't tell because of the typo
</em>
Hope this helps!
5 0
4 years ago
six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the av
Pani-rosa [81]

Answer:

23.9lbs or 24lbs

Step-by-step explanation:

This may not be correct so don't bet your first born on it

4 0
3 years ago
How do I recognize geometric/arithmetic sequences used in real world situations?
olchik [2.2K]

Ways to be used:

  • Uniform increase in the speed at regular intervals.
  • Speed of an aircraft, finding the sum of n terms of natural numbers.
  • increase or decrease in the costs of goods.
  • fare of taxi,
  • finding multiples of numbers within a range.
  • sales and production are some more uses of Arithmetic Sequence.

6 0
3 years ago
Read 2 more answers
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