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
Elenna [48]
3 years ago
9

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.

8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to two decimal places.What is the probability that a randomly selected giraffe will be shorter than 17 feet tall?What is the probability that a randomly selected giraffe will be between 16 and 19 feet tall? The 90th percentile for the height of giraffes is?
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

1. the probability that giraffe will be shorter than 17 feet tall is equal to 0.1056

2. the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to 0.8882

3. the the 90th percentile for the height of giraffes is 19.024

Step-by-step explanation:

To calculate the probability that a giraffe will be shorter than 17 feet tall, we need to standardize 17 feet as:

z=\frac{x-m}{s}

Where x is the height of the adult giraffe, m is the mean and s is the standard deviation, so 17 feet is equivalent to:

z=\frac{17-18}{0.8}=-1.25

Now, the probability that giraffe will be shorter than 17 feet tall is equal to P(z<-1.25). Then, using the standard normal distribution table, we get that:

P(z

At the same way, 16 and 19 feet tall are equivalent to:

z=\frac{16-18}{0.8}=-2.5\\z=\frac{19-18}{0.8}=1.25

So, the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to:

P(-2.5

Finally, to find the the 90th percentile for the height of giraffes, we need to find the value z that satisfy:

P(Z

Now, using the standard normal distribution table we get that z is equal to 1.28. Therefore, the height x of the giraffes that is equivalent to 1.28 is:

z=\frac{x-m}{s} \\1.28=\frac{x-18}{0.8} \\x=(1.28*0.8)+18\\x=19.024

it means that the the 90th percentile for the height of giraffes is 19.024

You might be interested in
Help fast please!! Which expression is equivalent to..
mariarad [96]

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

7 0
2 years ago
Pls pls pls help <br>Find the perimeter and the area​
Illusion [34]

Answer:

Perimeter = 42 units Area = 57.73 square units

Step-by-step explanation:

Perimeter of an Astroid = 6l ---> 6 x 7 = 42 units

Area of an Astroid = (3 x pi x a^2)/8 = 57.73 square units

3 0
3 years ago
What is 8x8??..........
dlinn [17]

Answer:

64

is the answer please mark me brainlest

4 0
2 years ago
Read 2 more answers
Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.
Verizon [17]
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
8 0
3 years ago
Write the sentence as an equation.<br> 62 more than the product of 150 and r is 40
Elenna [48]

Answer:

150 • r + 62 = 40

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Aiden makes 12 bracelets on Monday. He makes 8 more bracelets each day from Tuesday through Thursday. How many bracelets does ai
    13·2 answers
  • Find the value of the second term in this sequence. 34, ____ , 84, 109, 134
    15·1 answer
  • The table shows the relationship between two variables. which selection describes the relationship?
    13·2 answers
  • Antonio planned to read 15 books over the summer for the library's summer reading challenge. At the end of July he has read 4/5
    8·1 answer
  • Richard has $1,089.26 in his checking account at the end of the month. During the month, he withdrew $120, deposited a check for
    6·1 answer
  • 7. The value of a computer has a decay factor of 0.85 per year. After 2 years, the computer is worth $1445. What was the origina
    14·2 answers
  • Striking a tuning fork harder makes the sound coming from the fork louder. This changes the _________ of the sinusoidal graph.
    8·1 answer
  • Number 4 only plzzz help asap its due tomorrow
    8·1 answer
  • In a survey of U.S. adults with a sample size of 2062​,330said Franklin Roosevelt was the best president since World War II. Two
    5·1 answer
  • A certain triangle has two 45° angles, what type of triangle is it?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!