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4 years ago

SINUL

Mathematics

1 answer:

Salsk061 [2.6K]4 years ago

4 0

Answer:

Mean=9.75

Median = 9.5

Mode = 8,9,10,12

Range = 6

Step-by-step explanation:

Arrange number in ascending order;

6,7,8,8,9,9,10,10,11,12,12,15

Mean = sum of terms/number of terms

=(6+7+8+8+9+9+10+10+11+12+12+15)/12

=117/12

=9.75

Median = middle number in a list; since we have two numbers we add them together and divide by 2

= (9+10)/2

= 19/2

=9.5

Mode = 8,9,10,12 (multimodal) this is when there are more than one mode

Range = highest number - lowest number

=15-9

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Kobotan [32]

Answer:

$4.257

Step-by-step explanation:

Given:

Items delivered per hour = 14

Fixed hourly costs = $47

variable cost = $0.90

Now,

at breakeven point, the profit = 0

Total revenue = total cost

let the charge at breakeven point be 'x'

thus,

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Hence, the breakeven charges are $4.257

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3 years ago

In rectangle DATE, the diagonals DT and AE intersect as S. If LaTeX: AE=40 A E = 40 and LaTeX: ST=x+5 S T = x + 5 , find the val

svetoff [14.1K]

For this case we have the following diagonals:
AE = 40
ST = x + 5
The intersection of the diagonals occurs when:
AE = ST
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40 = x + 5
Clearing x we have:
x = 40-5
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Answer:
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x = 35

4 0

3 years ago

Read 2 more answers

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours he is at an altitude of 700 feet. Is the r

cluponka [151]

Answer:

not enough information

Step-by-step explanation:

Dividing altitude by hours, we find the ratios to be 400/2 = 200 ft/h and 700/6 = 116 2/3 ft/h.

These are not the same ratio, so altitude is not proportional to time.

___

However, that's not what the question asks. It ask about rate of change. We only have enough information to determine the rate of change between hour 2 and hour 6 is 300 ft in 4 hours, or 75 ft/hour. Since we don't have any other rate of change information, we cannot determine if the rate of change is proportional to anything.

_____

<em>Comment on the question</em>

We suspect the question is simply worded poorly, and that we're supposed to determine if altitude is proportional to hours. (It is not). If that is actually the question, "rate of change" needs to be left out of the question.

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3 years ago

Trapezoid FGHI is rotated using the origin as the center of rotation. The preimage and image are graphed below.

skelet666 [1.2K]

The rotated image if below the original image, so this shows it was rotated clockwise.

In the original image line FG is a horizontal line, if it is rotated 90 degrees, it would become a vertical line. In the rotated image line FG is at an angle, so this means it was rotated 45 degrees.

The answer is a 45 degree clockwise rotation.

8 0

3 years ago

Read 2 more answers

Find the area under the standard normal distribution curve for the following intervals. a. Between z = 0 and z = 2.0 b. To the r

vesna_86 [32]

Answer:

a) $P(0$

And we can use the following excel code to find the probability:

"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"

$P(0$

b) $P(Z>1.5) =1-P(Z$

And we can use the following code and we got:

"=1-NORM.DIST(1.5,0,1,TRUE)"

$P(Z>1.5) =1-P(Z$

c) $P(z$

And we can use the following code and we got:

"=NORM.DIST(-1.75,0,1,TRUE)"

$P(z$

d) $P(-2.78$

And we can use the following excel code to find the probability:

"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"

$P(-2.78$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Part a

We want this probability:

$P(0$

And we can use the following excel code to find the probability:

"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"

$P(0$

Part b

For this case we want this probability:

$P(Z>1.5)$

And we can use the complement rule and we have:

$P(Z>1.5) =1-P(Z$

And we can use the following code and we got:

"=1-NORM.DIST(1.5,0,1,TRUE)"

$P(Z>1.5) =1-P(Z$

Part c

We want this probability:

$P(z$

And we can use the following code and we got:

"=NORM.DIST(-1.75,0,1,TRUE)"

$P(z$

Part d

We want this probability:

$P(-2.78$

And we can use the following excel code to find the probability:

"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"

$P(-2.78$

5 0

4 years ago