1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
2 years ago
13

Find the surface area, in square centimeters, of

Mathematics
1 answer:
nydimaria [60]2 years ago
8 0

The surface area of the hemisphere with radius r = 19 cm. is 3400.62 square centimeters

<h3>How to determine the surface area?</h3>

The radius is given as:

r = 19

The surface area of a hemisphere is:

Area = 3πr²

So, we have:

Area = 3 * 3.14 * 19²

Evaluate

Area = 3400.62

Hence, the surface area of the hemisphere is 3400.62 square centimeters

Read more about surface areas at:

brainly.com/question/6613758

#SPJ1

You might be interested in
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

Z = \frac{X - \mu}{s}

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
Dan and Dave can work together to paint a house in 4 days. Dan works twice as fast as Dave. How long would it take each of them
SSSSS [86.1K]

Answer:

Dan=6 days Dave=12 days

Step-by-step explanation:

1/2x + 1/x = 1/4

multiply each by 8x bc 4 * 2x = 8x

4 + 8 = 2x

12 = 2x

6 = x

8 0
3 years ago
What is the equation of the line that passes through the points (-3,4) and (6,7)
inn [45]
Y=mx+b, m=(y2-y1)/(x2-x1)

m=(7-4)/(6--3)=3/9=1/3

y=x/3 +b, now use either point to solve for b, I'll use (6,7)

7=6/3 +b

7=2+b

b=5 so our line is:

y=x/3 +5 or more neatly...

y=(x+15)/3
6 0
3 years ago
Read 2 more answers
Can the following expressions be written in a simpler forms? If yes, write an expression for each problem. If not, explain why w
Alona [7]

Answer:

Both of them can be simplified.

Recall that 4 = 2^2.

2^7 / 4^2 = 2^7 / (2^2)^2 = 2^7 / 2^4 = 2^(7-4) = 2^3 = 8

Similarly, 2^7 / 2^4 = 2^(7-4) = 2^3 = 8

The answers to both exercises are 8.

6 0
2 years ago
Jenny is making a tie-dyed shirts for her class with her school colors
tia_tia [17]

Answer:

2 ounces of yellow, six of  blue.

Step-by-step explanation:

If you teacher wants you to simplify put: yellow: 1, blue: 3

If not, put: yellow: 2, blue: 6

4 0
2 years ago
Other questions:
  • Which option below best describes why the domain of g(x) = 5–x is all real numbers but the range of g is not all real numbers? T
    14·1 answer
  • consider the following set of equations: equation a: y = 2x 4 equation b: y = 3x 1 which of the following is a step that can be
    8·2 answers
  • Is a horizontal stretch the same thing as a vertical shrink?<br> If not, what is it?
    12·1 answer
  • Solve this inequality j/4 -8&lt;4
    12·2 answers
  • Simplify 7/9 14 (please help)
    12·1 answer
  • Helppp me pleaseeeeee
    12·1 answer
  • James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired a
    7·1 answer
  • Lisa watches the vehicles that passes buy in front of he apartment building.she has counted 15 vans and 30 cars. what is the app
    6·1 answer
  • F(x)=bx^2+32 For the function f defined above, b is a constant and f(2)=40. What is the value of f(-2)?
    9·2 answers
  • 40% of t is 8.what is t?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!