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Butoxors [25]
2 years ago
13

A scientist needs to print a research report on her computer’s printer. If she prints in black ink only, b(t)=152-33t describes

the number of pages left to print after t minutes. If she prints in colored ink, c(t)=152-30t describes the number of pages left to print after t minutes. Based on this information, which statement is true?
F. The printer prints 3 more pages per minute in colored ink than in black ink.
G. The printer prints 3 fewer pages per minute in colored ink than in black ink.
H. The printer prints the same number of pages per minute in either type of ink.
J. The printer prints the entire research report in 152 minutes.
Mathematics
1 answer:
Flauer [41]2 years ago
3 0
With black ink      ⇒⇒⇒ <span>b(t)=152-33t
With </span>colored ink   ⇒⇒⇒ <span>c(t)=152-30t

After 1 minute :
b = 152 - 33 * 1 = 152 - 33 = 119
c = 152 - 30 * 1 = 152 - 30 = 122
c - b = 122 - 119 = 3

The correct choice is:
</span><span>G. The printer prints 3 fewer pages per minute in black ink than in colored ink.</span>
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How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner
Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

\bar X= \frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}

\bar X=24050.67 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=15-1=14

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that t_{\alpha/2}=2.14

Now we have everything in order to replace into formula (1):

24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04    

24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30

So on this case the 95% confidence interval would be given by (14444.04;33657.30)    

6 0
2 years ago
The heights of the trees for sale at two nurseries are shown below. Heights of trees at Yard Works in feet : 7, 9, 7, 12, 5 Heig
Troyanec [42]

Answer:

The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.

Step-by-step explanation:

1). Height of the trees at Yard Works are = 7,9,7,12,5 feet

So mean height of the trees = (7+9+7+12+5)÷5

                                               = 40÷5 =8 feet

Standard deviation of the trees at Yard works = ∑(║(height of the tree-mean height of the tree))║/(number of trees)

(height of the tree-mean height of the tree)= ║(7-8)║+║(9-8)║+║(7-8)║+║(12-8)║+║(5-8)║ = (1)+1+(1)+4+(3)= 10

Therefore standard deviation = (10)/(5) =2

2). In the same way mean height of the trees at Grow Station=(9+11+6+12+7)/5= 45/5 = 9

Now we will calculate the mean deviation of the tress at Grow Station

= ∑║(height of the tree-mean height of the tree)║/(number of trees)

= ║(9-9)║+║(11-9)║+║(6-9)║+║(12-9)║+║(7-9)║/(5)

= (0+2+3+3+2)/5

= 10/5 =2

Therefore The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.

                                                             

7 0
2 years ago
Read 2 more answers
Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch. According to the tree dia
USPshnik [31]
Sizes = Small, Medium and Large, so they has 3 choices for size.

Crust = Thin or thick for each size, so they have 2 choices for crust.

Topping = Tomato or meatball for each one, so they have 2 choices for toppings.

The answer would be:

<span>Three choices for size, two choices for crust, and two choices for topping</span>

8 0
2 years ago
Read 3 more answers
After the closing of the mill, the town of Sawyerville experienced a decline in its population.
ycow [4]

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

5 0
2 years ago
There are 75 people in a room. Of these people, 2/5 are from Germany. If 4/9 of the people who are not from Germany are from Fra
Alex Ar [27]

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

7 0
2 years ago
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