![kookycookiefanx](/avatars/23820.jpg)
kookycookiefanx
17.07.2020 •
Mathematics
The weights of newborn elephants are normally distributed with a mean of 225 pounds and a standard deviation of 45 pounds. a) Find the probability that a newborn elephant weighs between 250 and 275 pounds. You must show your work using a calculator function to receive credit. b) Find the probability that a newborn elephant weighs more than 210 pounds. You must show your work using a calculator function to receive credit.
Solved
Show answers
More tips
- F Family and Home Stay Warm but Don t Overheat: What is the Optimal Temperature for Your Home During Winter?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics Complete the missing value in the solution to the equation. y - 4 = -2(x + 3) (-3, ? )...
- M Mathematics In a random sample ofâ males, it was found that 22 write with their left hands and 215 do not. In a random sample ofâ females, it was found that 58 write with their left hands and...
- M Mathematics Question 27 Use right triangle ABC, where С b 31 B A AB = 10 What is the length of AC? (Remember if you round during your calculation to round to the nearest thousdandth, 4 decimal...
- M Mathematics Transversal Problems with Equations (Level 1) Jol 19, 2:05:45 PM Given m||n, find the value of x. (8x-7)° (x-28) Submit Answer I need help...
- M Mathematics GIVE FULL STEP BY STEP OF THIS MATHS WORD PROBLEM Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he get in the month of September?...
- M Mathematics Given an inconsistent system of linear equations in three variables, which of the following is not true? Choose the statement that is not true below. A. It is possible that the three...
- M Mathematics it rained 1.68 inches on Monday. On Tuesday, it rained 0.54 inches less than on Monday. How much did it rain on Tuesday...
- M Mathematics If f(2) = 13 and f (x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?...
- M Mathematics Easypoints 1+1= 2-2= :)...
- M Mathematics Mathematics question help...
Ответ:
a)
The probability that a newborn elephant weighs between 250 and 275 pounds
P(250≤ x ≤275) = 0.1577
b)
The probability that a newborn elephant weighs more than 210 pounds
P(x >210 ) = 0.6293
Step-by-step explanation:
Step(i):-
Given mean of the Population = 225
Given standard deviation of the population = 45
Let 'X' be the random variable in normal distribution
Let x₁ = 250
Let x₂ = 275
The probability that a newborn elephant weighs between 250 and 275 pounds
P(250≤ x ≤275) =P(0.55≤ Z≤1.11)
= P(Z≤1.11) - P(Z≤0.55)
= 0.5 + A( 1.11) - ( 0.5 + A(0.55)
= A(1.11) - A(0.55)
= 0.3665 - 0.2088
= 0.1577
Step(ii):-
The probability that a newborn elephant weighs between 250 and 275 pounds
P(250≤ x ≤275) = 0.1577
b)
Let x = 210
The probability that a newborn elephant weighs more than 210 pounds
P(x >210 ) = P( Z> -0.33)
= 1- P( Z < -0.33)
= 1 - ( 0.5 - A(-0.33))
= 0.5 + A( -0.33)
= 0.5 + A(0.33) (∵ A(-0.33) = A(0.33)
= 0.5 + 0.1293
= 0.6293
Final -
The probability that a newborn elephant weighs more than 210 pounds
P(x >210 ) = 0.6293
Ответ:
Algebraically, the point (1,-5) satisfies the first inequality, but does not satisfy the second inequality because -5 is not greater then -5.Graphically, the point (1,-5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore, (1,5) is not a solution to the given system of inequalities.
Step-by-step explanation:
GOT IT RIGHT ON EDGE