All categories

3 years ago

PLEASE HELP! 10 Points!!

Mathematics

2 answers:

sveta [45]3 years ago

8 0

Answer:

D. 95 degrees

Step-by-step explanation:

Hope this helps!

AfilCa [17]3 years ago

3 0

If we look at the line one of the values is 85°

because 85° is sharing a line with x

85 + x = 180

180 - 85 = 95

Answer: D. 95°

You might be interested in

Someone help pleaseeee

Dahasolnce [82]

Answer: A x=1/4y^2

Step-by-step explanation:

Because to make sure on the graph is counterclockwise for the vertex for the starting point.

4 0

3 years ago

John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per

LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0

3 years ago

Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

4 0

4 years ago

How much pure acid should be mixed with 55 gallons of a 60%acid solution in order to get an 80% acid solution?

horsena [70]

Work in amount of pure acid let x = gallons of pure acid required.
then we have the equation:-

x + 55(0.6) = 0.80(x + 55)

x + 33 = 0.80x + 44
0.20x = 11
x = 11/0.2 = 55 gallons answer

4 0

3 years ago

A point is chosen at random in the circle. What percent of the time will the point be in the square?

andreev551 [17]

If te squre is inscribe in the cercle ten:The area of the circle is πR²

& the Area of te square is 2R², then the probability to land in the square :

2R²/πR²=2/π=0.6366 or 63.66%

8 0

3 years ago