All categories

3 years ago

If two angles are supplementary and one angle measures 47°, what is the measure of the other angle?

Mathematics

2 answers:

Elina [12.6K]3 years ago

4 0

Answer:

133 degrees

Step-by-step explanation:

X+47=180

X=133

Kisachek [45]3 years ago

3 0

Answer:

133 degrees.

Step-by-step explanation:

Supplementary means the angles at to 180 degrees, so you would subtract 47 from 180 and get 133 degrees.

You might be interested in

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

50 POINT QUESTION

LenKa [72]

Answer:

0.04 or 4%

Step-by-step explanation:

point estimate of proportion:

(0.6+0.68)/2

1.28/2

0.64

Margin of error:

0.68 - 0.64 = 0.04

0.04×100 = 4%

7 0

3 years ago

The graph of the function y = x2 + 2 is shown. Which equation will shift the graph of the function down 4 units?

ziro4ka [17]

This graph shifted down 4 units would be y = x^2 - 2.

Different shifts in standard graphs each have to be done in their own way. Shifting up and down is done by manipulating the y-intercept, which is the number at the end of the equation. Since we started at +2 and it is going down 4, it brings us to -2.

6 0

3 years ago

PLEASE HELP Which of the following are true if event A and B are independent

makkiz [27]

Answer:

a) $P(B/A) = P(B)$