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olga55 [171]
3 years ago
6

A spherical balloon has a ​-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the b

alloon remains a sphere.
a. Find the volume of the​ fully-inflated balloon.
b. Find the volume of the​ half-inflated balloon.
c. What is the radius of the​ half-inflated balloon?
Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

\frac{256}{3}  Pi

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Answer:

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Step-by-step explanation:

<u>Given</u>

  • 8*10^-7

<u>Converted to standard form</u>

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3 years ago
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According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

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Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

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3 years ago
Surface area of a prism please help its my last day 120 points
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Answer:

Area of the base = (8×6)/2 = 24 yd²

Height of the prism = 8 yd

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5, 6, 9, 15

Also:

Plz mark me brainliest :)

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Answer:

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Step-by-step explanation:

X can stand for the width. 2x can stand for the length since it is twice the width. The perimeter would then equal 6x. 6x is equal to 36. Divide by 6 to isolate x. X equals 6 inches. So twice the width would be 12 inches.

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