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Leviafan [203]
2 years ago
8

What is the y-intercept of the polynomial f(x)f(x) defined below? Write the y-value only. f(x)=-4x^2+x^5+10x^3+5x+8x^4

Mathematics
1 answer:
Debora [2.8K]2 years ago
3 0

Answer:

Step-by-step explanation:

stop cheating lololololol

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. upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass
Sonbull [250]

Answer:

Part 1

(a) 0.28434

(b) 0.43441

(c) 29.9 mm

Part 2

(a) 0.97722

Step-by-step explanation:

There are two questions here. We'll break them into two.

Part 1.

This is a normal distribution problem healthy children having the size of their left atrial diameters normally distributed with

Mean = μ = 26.4 mm

Standard deviation = σ = 4.2 mm

a) proportion of healthy children have left atrial diameters less than 24 mm

P(x < 24)

We first normalize/standardize 24 mm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (24 - 26.4)/4.2 = -0.57

The required probability

P(x < 24) = P(z < -0.57)

We'll use data from the normal probability table for these probabilities

P(x < 24) = P(z < -0.57) = 0.28434

b) proportion of healthy children have left atrial diameters between 25 and 30 mm

P(25 < x < 30)

We first normalize/standardize 25 mm and 30 mm

For 25 mm

z = (x - μ)/σ = (25 - 26.4)/4.2 = -0.33

For 30 mm

z = (x - μ)/σ = (30 - 26.4)/4.2 = 0.86

The required probability

P(25 < x < 30) = P(-0.33 < z < 0.86)

We'll use data from the normal probability table for these probabilities

P(25 < x < 30) = P(-0.33 < z < 0.86)

= P(z < 0.86) - P(z < -0.33)

= 0.80511 - 0.37070 = 0.43441

c) For healthy children, what is the value for which only about 20% have a larger left atrial diameter.

Let the value be x' and its z-score be z'

P(x > x') = P(z > z') = 20% = 0.20

P(z > z') = 1 - P(z ≤ z') = 0.20

P(z ≤ z') = 0.80

Using normal distribution tables

z' = 0.842

z' = (x' - μ)/σ

0.842 = (x' - 26.4)/4.2

x' = 29.9364 = 29.9 mm

Part 2

Population mean = μ = 65 mm

Population Standard deviation = σ = 5 mm

The central limit theory explains that the sampling distribution extracted from this distribution will approximate a normal distribution with

Sample mean = Population mean

¯x = μₓ = μ = 65 mm

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

where n = Sample size = 100

σₓ = (5/√100) = 0.5 mm

So, probability that the sample mean distance ¯x for these 100 will be between 64 and 67 mm = P(64 < x < 67)

We first normalize/standardize 64 mm and 67 mm

For 64 mm

z = (x - μ)/σ = (64 - 65)/0.5 = -2.00

For 67 mm

z = (x - μ)/σ = (67 - 65)/0.5 = 4.00

The required probability

P(64 < x < 67) = P(-2.00 < z < 4.00)

We'll use data from the normal probability table for these probabilities

P(64 < x < 67) = P(-2.00 < z < 4.00)

= P(z < 4.00) - P(z < -2.00)

= 0.99997 - 0.02275 = 0.97722

Hope this Helps!!!

7 0
3 years ago
What are the missing operations?
vampirchik [111]
The missing operations in order is division, division, subtraction, addition, addition, and division
8 0
3 years ago
10. Fred has to read a book for a test in 2 weeks. If he reads the same number of pages per day and the book has 350 pages, how
Angelina_Jolie [31]

Answer:

25 pages per day

Step-by-step explanation:

Fred has 14 days to finish 350 pages.

To find out how many pages he needs to read each day, we divide 350 by 14, to get 25.

5 0
2 years ago
Read 2 more answers
5. Consider the diagram below. Solve for x.
mrs_skeptik [129]

Answer:

41 degrees

Step-by-step explanation:

The three angles need to add up to 180 degrees!

4 0
3 years ago
A rectangle has an area of (12m-30n) square units. Its width is 6 units. Factor the expression for the area to find an expressio
garik1379 [7]

Answer: 2m - 5n

<u>Explanation:</u>

Using long division

  <u>    2m - 5n  </u>

6 ) 12m - 30n


width*length = area

6(2m - 5n) = 12m - 30n


5 0
3 years ago
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