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RideAnS [48]
3 years ago
12

Complete parts (a) and (b) using the probability distribution below.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0
Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066) 
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance  = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D
<span>
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
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Step-by-step explanation:

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3 years ago
store announced that their $500 appliances were on sale for $475 what is the percent discount on the appliances
Aleks04 [339]

Answer:

We are given that a store announced that their $500 appliances were on sale.

The price of the appliances after discount is $475.

We are required to find the percent discount on the appliances.

To find the percent discount, we have to use the below formula:

\frac{(Actual-discounted)}{Actual} \times 100\%

\frac{500-475}{500}\times 100\%

\frac{25}{500} \times 100\%

0.05 \times 100\%

5\%

Therefore, the percent discount on the appliances is 5%


6 0
3 years ago
Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
lara [203]

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

Read more about radius

brainly.com/question/13449316

#SPJ4

7 0
1 year ago
Plzzzz help asap!!! marking brainiest!!!
Rama09 [41]

Answer:

see below

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3 ^ ( 6/5)

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3 years ago
Describe one difference between rewriting a literal equation and solving an equation in one variable.
sesenic [268]

Literal equation:

we know that

literal equation is equation of more one variable

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And we can solve such equations only if we are given two such equation

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One variable equation:

such equation has single variables

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3x=21

we don't need any other equation

we can solve for variables from single equation itself

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3 0
3 years ago
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