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BigorU [14]
3 years ago
15

The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t

he number of calories increase?
Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = \dfrac{\text{Increase in calories}}{\text{previous calories}}\times100

=\dfrac{300}{1500}\times100=20\%

Hence , the number of calories increased by 20%.

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A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 ​trials, the touch therapists were correct 105105 times.

<u><em>Let p = proportion that touch therapists uses a random guess method.</em></u>

Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p  = sample proportion of touch therapists were correct = \frac{105}{264} = 0.39

            n = sample of trials = 264

So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

                                =  -3.395

The value of z test statistics is -3.395.

<em>Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

3 0
2 years ago
the new parking lot has spaces for 450 cars the ratio of spaces for full size cars to compact cars is 11 to 4 how many spaces ar
Bogdan [553]
The ratio 11:4 means that the total number of spaces is a multiple of 15 parts, this multiple is what value is assigned to each part.

450/15=30  so each part is equal to 30 spaces

Full sized car spaces are 11*30=330 spaces

Compact car spaces are 4*30=120 spaces.
6 0
3 years ago
Which numbers are solutions to the equation 30=x2
GaryK [48]

Answer:

x = +√30

Step-by-step explanation:

Please write 30 = x squared as 30 = x^2.

If x^2 = 30, there are two solutions:  x = +√30 and x = -√30.

Several possible answers are given.    x=30−−√ is closest to the correct one, but must be written as x = √30.  Please ask someone how to find the "√" operator in Brainly.  Or, just write "sqrt(      )" instead.

6 0
3 years ago
Бу2 + 13y – 8 how to factorize this?​
Anettt [7]

Answer:

We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).

7 0
3 years ago
2. A doctor created a scatterplot to show the relationship of heart rate to
Fed [463]

Answer:

Step-by-step explanation:

6 0
3 years ago
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