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MissTica
3 years ago
14

The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

sketch a normal curve that represents this distribution label the mean and 3 standard deviations

Mathematics
1 answer:
Lelu [443]3 years ago
7 0
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
2 years ago
At Pizza pizzazz the cost of a square pizza depends on the total square inches. A small
GaryK [48]

Answer:

The difference in price between a small pizza and a medium pizza is $0.81

Step-by-step explanation:

Small pizza

Side = 5inch

Area =  25 sq.in

Cost = $4 +0.04*25

        = 4 + 1.25  = $5.25

Medium pizza

Side = 8inche

Area = 64 sq.in

Cost = 3.50 + 0.04*64 = $6.06

Difference = Medium pizza - small pizza

                  = 6.06 - 5.25

                   = $0.81

4 0
3 years ago
A comparative box plot is shown for two data sets. Which statement is true? (Please help me and please if you're not 100% sure)
Elza [17]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how
Anastaziya [24]
Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime
8 0
3 years ago
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pyt
tatuchka [14]
24^2 + 45^2 = 51^2
576 + 2025 = 2601
2601 = 2601

The answer is B leg.
3 0
3 years ago
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