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svlad2 [7]
3 years ago
14

Suppose medical records indicate that

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

Step-by-step explanation:

Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 20 inches

σ = 2.6 inches

the probability that a given infant is between 14.8 and 25.2 inches long is expressed as

P(14.8 ≤ x ≤ 25.2)

For x = 14.8,

z = (14.8 - 20)/2.6 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 25.2

z = (25.2 - 20)/2.6 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75

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3 years ago
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
natulia [17]

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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7 0
2 years ago
1) Sandra saves 12% of her salary for retirement. This year her salary was $3000 more than in the previous year, and she saved $
svp [43]
Given:
savings 12% of her salary.
savings $4,200
This year's salary: x + 3,000
Last year's salary: x

4,200 represents 12% of her salary.
4,200 / 12% =  35,000 is her salary this year.

x + 3,000 = 35,000
x = 35,000 - 3,000
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3 0
3 years ago
Read 2 more answers
Pythagorean Theorem Word
diamong [38]

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles

The  straight  line distance from the starting point is 40 miles.

7 0
3 years ago
How do you know if there is an elephant in your fridge?
Salsk061 [2.6K]

Answer:

you'll know bc your fridge will be broken

Step-by-step explanation:

4 0
3 years ago
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