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3 years ago

Can someone help me find this

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Step-by-step explanation:

In triangle,

 XYZ PYZ

XZ = PZ = 12cm

XY = PY = 5cm

YZ = YZ (Common side)

Hence,

As three sides of the two triangles are equal so,

Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition 

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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.

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