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Sergio039 [100]
3 years ago
13

Ann races her bicycle for 200 ft. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diamet

er of the wheel?
Use the value 3.14. Round your answer to the nearest tenth. Do not round any intermediate steps.
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

1.6 ft

Step-by-step explanation:

Each time the wheel does a complete turn, the bike moves forward a distance equal to the wheel's circumference.  Since the bike moves 200 ft after 40 rotations, the length of the wheel's circumference is:

C = 200 ft / 40

C = 5 ft

Circumference is π times the diameter.  So the diameter of the wheel is:

C = πd

5 ft = πd

d = 1.6 ft

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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
BRAINLIESTTTTTTTTTTTT!! :)
skad [1K]
Your answer here would be letter A because for each year it is multiplied by 5 and so year 6 was 31,250 and 31,250 * 5 is 156,250


Have A Good Day :)
3 0
3 years ago
Read 2 more answers
Use the graph to estimate the selling price for a 4-year old car.
muminat

Answer:

The Correct answer would be option D, $16,000.

Step-by-step explanation:

Look at the bottom section of the graph, that is labled

"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.

8 0
3 years ago
Let f(x) = 3x3 − 7x2 − 9x + 21 and g(x) = 3x − 7. Find f of x over g of x.
Ronch [10]

Answer:

x^2-3

Step-by-step explanation:

look at the picture

8 0
3 years ago
Read 2 more answers
What is the answer someone help meeee
Varvara68 [4.7K]

Answer:

1) 8n-3

2) 3+(8-n)

3) 3(n-8)

4) 3(n+8)

6 0
3 years ago
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