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3 years ago

11

Tia Martinez has $200.25 deducted from her semimonthly pay for group health insurance. Rocky Mountain Ski Parts, her employer, p

ays 60% of the cost. What is Tia's annual premium for health insurance?

1 answer:

Novosadov [1.4K]3 years ago

6 0

$80.10 would be the premium.

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Jake had 2.95 mL of a liquid. He added more liquid and now has 3.56 mL.

notsponge [240]

0.61 ml. 3.56 mL - 2.95mL = the amount added to the jar

6 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are

raketka [301]

Answer:

(a) 0.59049 (b) 0.32805 (c) 0.40951

Step-by-step explanation:

Let's define

$A_{i}$ : the lab specimen number i contains high levels of contamination for i = 1, 2, 3, 4, 5, so,

$P(A_{i})=0.1$ for i = 1, 2, 3, 4, 5

The complement for $A_{i}$ is given by

$A_{i}^{$c$}$ : the lab specimen number i does not contains high levels of contamination for i = 1, 2, 3, 4, 5, so

P( $A_{i}^{$c$}$ )=0.9 for i = 1, 2, 3, 4, 5

(a) The probability that none contain high levels of contamination is given by

P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )= $(0.9)^{5}$ =0.59049 because we have independent events.

(b) The probability that exactly one contains high levels of contamination is given by

P( $A_{1}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}$ )=5×(0.1)× $(0.9)^{4}$ =0.32805

because we have independent events.

(c) The probability that at least one contains high levels of contamination is

P( $A_{1}$ ∪ $A_{2}$ ∪ $A_{3}$ ∪ $A_{4}$ ∪ $A_{5}$ )=1-P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )=1-0.59049=0.40951

6 0

3 years ago

The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

alekssr [168]

The perimeter is the sum of the outside dimensions.

b1 = 87 - 32 - 14 - 13 = 28 in.

Area = (32 + 28) /2 x 12 = 60/2 x 12 = 30 x 12 = 360 square inches.

Divide area by the amount 1 can covers:

360 / 50 = 7.2 cans, round up to 8 cans are needed.

7 0

3 years ago

Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radiu

Over [174]

<u>Given</u>:

Dante bought a new graduated cylinder for his chemistry class.

Volume of the cylinder = 662.7π milliliters of liquid

Converting to cubic centimeter, we get;

Volume of the cylinder = 662.7π cm³

Radius of the cylinder = 4.7 cm

We need to determine the height of the cylinder.

<u>Height of the cylinder:</u>

The height of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$662.7 \pi=\pi (4.7)^2h$

$662.7 \pi=\pi (22.09)h$

Dividing both sides by 22.09π, we get;

$30=h$

Therefore, the height of the cylinder is 30 cm.

Hence, Option C is the correct answer.

4 0

3 years ago

A mans income is increased by 1200 and at same time the rate of tax to be paid is reduced from 12% to 10% He now pays the same a

OverLord2011 [107]

Answer:

this is the answer for your question...ask if any confusion

4 0

3 years ago