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Juliette [100K]
3 years ago
9

Some reindeer prefer eating carrots, while others prefer apple. If the ratio of carrot eaters to apple eaters is 30:420, determi

ne the number of reindeer that prefer carrots If 517 prefer apples.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

37

Step-by-step explanation:

We start by reducing the ratio to its smallest value. This is the same as 1:14

We know from the question that the number of apple eater takes the 14 ratio part. We can make the calculations for the total number first then make a subtraction to get the number of apple eaters.

Firstly, we add the ratios together:

1 + 14 = 15

Let the total number of reindeers be T

14/15 * T = 517

T = (15 * 517)/14 = 554

To get the the number of apple loving Reindeers, we then subtract.

This is 554 - 517 = 37

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36 in the ratio of 2:3:4
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The ratio of three numbers are 2:3:4.

Let the rational between the three numbers be x, hence the three numbers be 2x, 3x,and 4x.


If their average is 36, what are the numbers

We know the average = sum of the numbers / no. Of numbers.

(2x+3x+4x) /3=36

9x/ 3= 36

3x =36

X= 36/ 3

X= 12

The rational is 12

Answer the three number are 24, 36, and 48.



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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
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Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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