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snow_tiger [21]
2 years ago
14

Santa Claus is assigning elves to work a shift making toy trucks. Apprentice elves draw a wage of forty candy canes per shift, b

ut can only make 32 trucks in a shift. Senior elves can make 48 trucks a shift and are paid 64 candy canes per shift. There is only room for nine elves in the truck shop, and due to a candy-makers’ strike, Santa Claus can only pay out 480 candy canes for the whole 8-hour shift. What is the maximum number of trucks that can be built during the shift and how many of each type of elf should Santa assign in order to get that many trucks? Using the information in the problem, write the constraints. Let x represent the number of apprentice elf shifts, and y represent the number of senior elf shifts.
Mathematics
1 answer:
xxMikexx [17]2 years ago
6 0

Answer:

link:brainly.com/question/14962828

Step-by-step explanation:

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Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 400 seconds a
garri49 [273]

Answer:

Step-by-step explanation:

In the normal distribution curve, the mean is in the middle and each line to the left and to the right of that mean represent 1- and 1+ the standard deviation.  If our mean is 400, then 400 + 50 = 450; 450 + 50 = 500; 500 + 50 = 550.  Going from the mean to the left, we subtract the standard deviation and 400 - 50 = 350; 350 - 50 = 300; 300 - 50 = 250.  We are interested in the range that falls between 350 and 450 as a percentage.  That range represents the two middle sections, each containing 34% of the data.  So the total percentage of response times is 68%.  We are looking then for 68% of the 144 emergency response times in town.  .68(144) = 97.92 or 98 emergencies that have response times of between 350 and 450 seconds.

7 0
2 years ago
Read 2 more answers
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

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

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

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
What is the value of b and the missing symbol in Jamilla’s inequality?
Sindrei [870]

Answer:

b=1, \geq

Step-by-step explanation:

we know that

The absolute value function has two solutions

Observing the graph

the solutions are

x\geq 1 and x\leq -3

First solution (case positive)

assume the symbol of the first solution and then compare the results

\left|x+b\right|\ge2

(x+b)\ge2

x\ge2-b

2-b=1\\b=2-1\\ b=1

Second solution (case negative)

-(x+b)\ge2

Multiply by -1 both sides

(x+b)\leq-2

substitute the value of b and compare the results

(x+1)\leq-2

x\leq-2-1

x\leq-3 -------> is correct

4 0
2 years ago
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Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?
arlik [135]
The correct answer is choice D.  If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.

To solve this, use inverse operations.

<span><u>0.3m</u> = <u>12</u>
</span>0.3       0.3
m = 40

It will take Beck 40 minutes.

7 0
2 years ago
Read 2 more answers
Find the slope of line
tamaranim1 [39]

Just take the coordinates of both those red dots and use the slope formula: y2-y1 all divided by x2-x1. that should give you slope


8 0
2 years ago
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