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Anit [1.1K]
3 years ago
5

1.

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

screenshot the data set instead of giving a link then i will be able to help.

Step-by-step explanation:

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According to Scarborough Research, more than 85% of working adults commute by car. Of all U.S. cities, Washington, D.C., and New
tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

8 0
3 years ago
If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?
Keith_Richards [23]
\bf \begin{cases}&#10;f(x)=2-x^{12}\\&#10;g(x)=x^2-9\\&#10;g(x)\div f(x)=\frac{g(x)}{f(x)}&#10;\end{cases}\implies \cfrac{x^2-9}{2-x^{12}}

now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to undefined.

now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.

\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\&#10;-------------------------------\\\\&#10;\cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}

so, the domain is all real numbers EXCEPT that one.
4 0
3 years ago
One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for
zheka24 [161]
Given the root of -5+2i, we are asked to describe the best statement that describes the polynomial. The root  -5+2i cannot exist without its conjugate root, -5-2i. Complex roots are always accompanied by at least 1 real root. Since there are only 3 roots, there should be one root only, hence the answer is B.<span>
</span>
3 0
4 years ago
Read 2 more answers
7+8 is equal to what?
AURORKA [14]

Answer:

15

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
8. Video games are on sale this week for 20% off. The video game originally costs $42.
Phoenix [80]

Answer:

  • $8.4
  • $33.6
  • I= $384

Step-by-step explanation

  • Amount of discount: 20%= 0.20; 0.20×42= $8.4
  • Sale price: $42-$8.4= $33.6

For interest question, plug in the values:

P= $3200

r= 3%÷100 = 0.03

t= 4 years

Calculate:

I=Prt

= 3200×0.03×4

=$384

3 0
3 years ago
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