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RSB [31]
2 years ago
14

64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b

urn 550 calories per hour. a) Write an inequality that represents Denise's goal in terms of the number of hours spent runningh
Mathematics
1 answer:
Rudiy272 years ago
5 0

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

550h\leq 5000

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

550h\leq 5000

Learn more :  brainly.com/question/381815

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The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

<u>So, the mean of the number preferring the incumbent is given by;</u>

         Mean = n \times p = 500 \times 0.66

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<u>And, standard deviation of the number preferring the incumbent is given by;</u>

          Variance =  n \times p\times (1-p)  

                          =  500 \times 0.66 \times (1-0.66)

                          =  112.2

So, Standard deviation =  \sqrt{Variance}

                                       = \sqrt{112.2}  = 10.59

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