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2 years ago

A parallelogram has one angle that measures 106°. What are the measures of the other three angles in the parallelogram?

Mathematics

1 answer:

Katen [24]2 years ago

3 0

Answer:

74°,74° and 106°

Step-by-step explanation:

180 -106=74°

The two opposite interior angles=74°each

The other one=106°

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Percentages equal to 100% and how?

Harrizon [31]

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

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3 years ago

Identify the incorrect statement A. Alpha and beta particles pose little or no hazard to human health. B. Cosmic rays are a form

Ray Of Light [21]

Answer:

The incorrect statement is A. Alpha and beta particles pose little or no hazard to human health.

Step-by-step explanation:

Alpha particle - the nucleus of a helium atom, made up of two neutrons and two protons with a charge of +2. Certain radioactive nuclei emit alpha particles. Alpha particles generally carry more energy than gamma or beta particles, and deposit that energy very quickly while passing through tissue. Alpha particles can be stopped by a thin layer of light material, such as a sheet of paper, and cannot penetrate the outer, dead layer of skin. Therefore, they do not damage living tissue when outside the body. When alpha-emitting atoms are inhaled or swallowed, however, they are especially damaging because they transfer relatively large amounts of ionising energy to living cell.

Beta particles - electrons ejected from the nucleus of a decaying atom. Although they can be stopped by a thin sheet of aluminium, beta particles can penetrate the dead skin layer, potentially causing burns. They can pose a serious direct or external radiation threat and can be lethal depending on the amount received. They also pose a serious internal radiation threat if beta-emitting atoms are ingested or inhaled.

Therefore, alpha and beta particles do pose affect the health of human beings.

7 0

3 years ago

Find the range and the interquartile range of the data set represented by the box plot.

N76 [4]

The interquartile range is 4 to 5.5 because where the lines fall that is the different quartile range

8 0

3 years ago

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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f

Verizon [17]

Answer:

CI(95%): [205,5;400.8]dolars

Step-by-step explanation:

Hello!

So you need to construct a confidence interval for the average family dental expenses (μ) using the sample given in the problem. To estimate it you need to first choose a statistic. For this small sample, considering that the variable has a normal distribution (I made a quick Shapiro Wilks test, with p-value 0.3234, you can assume normality) the best statistic to use is the Student's t-test.

t= [x(bar)-μ]/S/√n ≈ t₍ₙ₋₁₎

The formula for the confidence interval to estimate the mean is

x(bar)± $t_{n-1; 1-\alpha/2}$ * (S/√n)

The critical value is from a t-distribution with 11 degrees of freedom

± $t_{n-1; 1-\alpha/2} = t_{11; 0.975} = 2.201$

>remember since it's two-tailed, to get the right critical value you have to divide α by 2. So in the text, you received a confidence level of 1-α=0.95 so α=0.05 then α/2=0.025 and 1-α/2=0.975

To construct the interval, you need to first calculate the sample mean and the standard derivation.

Sample

115; 370; 250; 593; 540; 225; 117; 425; 318; 182; 275; 228

n= 12

∑xi = 3638 ∑xi² = 1362670

Sample mean

x(bar): (∑xi)/n = 3638/12 = 303.17 dolars

Standard derivation

S²= 1/n-1*[∑xi²- (∑xi)²/n] = 1/11 * [1362670-((3638)²/12)] = 23614.47 dolars²

S= 153.67 dolars

Confidence interval (95%)

303.17± 2.201* (153.67/√12)

[205,5;400.8]dolars

I hope you have a SUPER day!

3 0

4 years ago

Is x^-3-5y^-2 a polynomial

KiRa [710]

Answer:

Yes, it is.

Step-by-step explanation:

A polynomial is a mathematical expression containing two or more terms.

For example, a+b is a polynomial. 2a-23b+c is also a polynomial.

Hope this helps :)

8 0

3 years ago

Read 2 more answers