Easy question

150 adults complete a survey eighty are women write the ratio men: women <br>

Ostrovityanka [42]

Answer:

70:80

Step-by-step explanation:

150-80=70

3 0

3 years ago

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of i

saw5 [17]

Answer:

$I = - 7 \cdot \ln|e^{x}+7| + 9 \cdot \ln|e^{x}+9| + C$

Step-by-step explanation:

Let consider the following algebraical substitution:

$u = e^{x}$

$du = e^{x} dx$

The integral is re-arranged to this form:

$I = 2 \cdot \int\ {\frac{u\ du}{u^{2}+16\cdot u + 63} } \, dx$

After doing some algebraical manipulation, the rational form of this integral is:

$I = -\int {\frac{7}{u + 7} } \, dx + \int {\frac{9}{u + 9} } \, dx \\$

The solution of this integral is:

$I = - 7 \cdot \ln|u+7| + 9 \cdot \ln|u+9| + C$

$I = - 7 \cdot \ln|e^{x}+7| + 9 \cdot \ln|e^{x}+9| + C$

6 0

4 years ago

Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB. Lines C E and A D intersect at the point B. Angle A B C is labeled 3

padilas [110]

*see attachment below for the figure referred to

Answer:

*The measure of angle <CBA is equal to the measure of angle <DBE.

*The measure of angle CBD is equal to the measure of angle ABE.

*The sum of the measures of angles CBD and CBA is 180 degrees.

Step-by-step explanation:

Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:

<CBD and <ABE;

<CBA and <DBE

Thus:

m<CBD = m<ABE;

m<CBA = <DBE = 37°

Also, m<CBA + m<CBD = 180° (supplementary linear pair)

m<ABE + m<DBE = 180° (supplementary linear pair)

Therefore, the following statements are TRUE:

*The measure of angle <CBA is equal to the measure of angle <DBE.

*The measure of angle CBD is equal to the measure of angle ABE.

*The sum of the measures of angles CBD and CBA is 180 degrees.

8 0

3 years ago

If I wanted to change the vertex of a quadratic function from (2,3) to (-1,6), what form would you use and what would you do to

vampirchik [111]

This is a translation and it is most easily done with the vertex from of the equation. change vertex to (-1,6): y=a(x+1)+6

3 0

3 years ago

Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1004 adults, 86% said that they have a cell phone.

meriva

Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= population proportion

n= sample size

$\hat{p}$ = sample proportion

AS per given,

p=0.94, n= 1004, $\hat{p}=0.86$

$z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67$

i.e. the value of test statistic = -10.67

8 0

3 years ago