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Player a throws the ball 25 yards to player b. After catching the ball, player be immediately turns 90° to his left and runs wit
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An inequality that represents Denise's goal in terms of the number of hours spent running 'h'
Given :
Denise wants to burn at least 5000 calories a week through running.
she can burn 550 calories per hour
Let 'h' be the number of hours spent
In 1 hour she can burn 550 calories
In 'h' hours she can burn 550h calories
Given that she want to burn atleast 5000 calories in a week
Burn atleast 5000 calories means <=5000 calories
So , the inequality that represents Denise's goal is
calories burn in h hours <= 5000 calories
Learn more : brainly.com/question/381815
Answer:
(a) 283 days
(b) 248 days
Step-by-step explanation:
The complete question is:
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?
Solution:
The random variable <em>X</em> can be defined as the pregnancy length in days.
Then, from the provided information .
(a)
The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:
P (X > x) = 0.11
⇒ P (Z > z) = 0.11
⇒ <em>z</em> = 1.23
Compute the value of <em>x</em> as follows:
Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.
(b)
The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:
P (X < x) = 0.05
⇒ P (Z < z) = 0.05
⇒ <em>z</em> = -1.645
Compute the value of <em>x</em> as follows:
Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.