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wolverine [178]
3 years ago
12

Mai, Eric, and Dean served a total of 103 orders on Monday. Mai served 8 more orders than Eric. Dean served 3 times as many orde

rs as Eric. How many orders did they each serve?
Mathematics
1 answer:
mel-nik [20]3 years ago
3 0
Let the number of orders Eric served be x

Eric = x
Mai =  x+ 8         [Mai served 8 more than Eric]
Dean = 3x           [Dean served 3 times as many as Eric]

Given that the total is 103
x + x + 8 + 3x = 103  
5x + 8 = 103
5x = 103 - 8
5x = 95
x = 19


x = 19
x + 8 = 19 + 8 = 27
3x = 19 x 3 = 57

Eric served 19
Mai served 27
Dean served 57





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How do I find the area of a triangle with a base of 3 and height of 6
Schach [20]
You can multiply 3 and 6 together then divide the product by 2
(6*3)/2=18/2=9
6 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
3 years ago
What is the sum 2, 3, 4, and 5?
borishaifa [10]

Answer:

14

Step-by-step explanation:

We can find the sum of these numbers by adding them together.

The cumulative rule of addition lets us add numbers together in any order we want.

So, for 2 + 3 + 4 + 5 …

2 + 3 = 5

So now we have 5 + 4 + 5

5 + 4 = 9

Now we have 9 + 5

And 9 + 5 = 14

So, your answer is 14

Hope this helps!

4 0
2 years ago
Help me asap!!!!! Very important!!
frozen [14]

Answer:

  • strong negative linear correlation
  • -0.986

Step-by-step explanation:

You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.

The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.

The strong negative correlation number available to you is -0.986.

___

If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.

4 0
3 years ago
The perimeter of a frame is 24 inches.The width is 5 inches. What is the length
Kisachek [45]
Assuming the frame is rectangular, the perimeter is 2*width + 2*length. so 5*2 + 2*length = 24. subtract ten from both sides to get the 14 = 2*length. the length = 7.
4 0
3 years ago
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