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3 years ago

Please help me with My algebra. I'm stressing a lot right now so Thank you.

Mathematics

1 answer:

Mariulka [41]3 years ago

8 0

Hello! These worksheets are online! Just look up the title and it should come up if not just repost the picture fully and I’ll look it up for you!

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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

If you received a 5% raise and your final paycheck was 100(which includes your 5% raise), how much was your original paycheck?

Schach [20]

so you were earning say "x", so "x" is the 100% of your paycheck.

but you're da bomb and so you got a raise of 5%, so the new amount of your paycheck is 100% + 5%, so is 105% really, and we happen to know that is $100.

$\bf \begin{array}{ccll} \$&\%\\ \cline{1-2} 100&105\\ x&100 \end{array}\implies \cfrac{100}{x}=\cfrac{105}{100}\implies 10000=105x \\\\\\ \cfrac{10000}{105}=x\implies 95.238\approx x$

8 0

4 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Elan Coil [88]

Answer:

see explanation

Step-by-step explanation:

The diagrams show triangular figures

The first figure has 1 dot

The second has 1 + 2 = 3 dots

The third has 3 + 3 = 6 dots

The fourth has 6 + 4 = 10 dots

Note the pattern is + 2 , + 3, + 4

Thus the fifth pattern is 10 + 5 = 15 dots

5 0

3 years ago

Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet

Mumz [18]

Answer:

$296.693\leq x\leq 319.307$

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

$x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }$

Where x' is the sample mean, s is the population standard deviation, n is the sample size and $z_{\alpha /2}$ is the z-score that let a proportion of $\alpha /2$ on the right tail.