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Virty [35]
2 years ago
7

Suppose the transit system of a large city has a lost and found department that keeps detailed records, including the estimated

value in dollars of each lost item. Each year the department publishes a report with a histogram showing the proportion of items lost in various price ranges.
The bar on the histogram with endpoints 100 to 200 has a height of 0.11. What does this mean?

(A) of the lost items, 11% cost $150.
(B) Between 100 and 200 items had an estimated value of 11% of the total cost of all items.
(C) Of the lost items, 11% cost between $100 and $200.
(D) It is impossible to answer the question because it does not say what variable is displayed on the horizontal axis.
(E) Of the lost items, 11% had an average cost of $150.

Mathematics
1 answer:
asambeis [7]2 years ago
5 0

Answer:

(C) Of the lost items, 11% cost between $100 and $200

Step-by-step explanation:

On the Y-axis is represented the frequency of lost items found.

In this case in the form of a percentage.

On the X-axis is represented the range of prices

See picture attached.

So, this means that 11% of the found items have an estimated price between $100 and $200

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What is the distance from the origin of point P graphed on the complex plane below?
ZanzabumX [31]

Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula = \sqrt{(x2 -x1)^2 + (y2 - y1)^2} \\

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance = \sqrt{(2 -0)^2 + (-5 - 0)^2}

= \sqrt{2^2 + (5)^2}

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concept.

Thank you.

7 0
2 years ago
Read 2 more answers
The average body mass index of children 9 years old is 18.4 with a standard deviation of 4.5. If it is known that the distributi
stellarik [79]

Answer:

Mass index for a 9-year-old child (at 82nd percentile ) = 22.51

Step-by-step explanation:

Given:

Mass index for a 9-year-old child  = 18.4

Standard deviation = 4.5

Find:

Mass index for a 9-year-old child (at 82nd percentile )

Computation:

At 82nd percentile,

p-value = 0.82

p-value from Z table score = 0.9153

Mass index for a 9-year-old child (at 82nd percentile ) = Mass index for a 9-year-old child + p-value from Z table score(Standard deviation)

Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 0.9153(4.5)

Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 4.11

Mass index for a 9-year-old child (at 82nd percentile ) = 22.51

6 0
2 years ago
The following items are available for use in a pan balance to measure the weight of a large rock. Which items will yield the gre
weqwewe [10]
The correct option is B.
Pan balance is one of the instruments that are used to measure weights of objects. The instrument is designed in such a way that, it has two pans and a standard weight can be added to one of the pan to determine the weight of the object in the other pan. In the question given above, the pan balance is to be used to measure the weight of a large rock. Salt is the right object to be used on the second pan because it can be packaged in standard weights and it is very light in weight. So, it will be very sensitive to the weight of the rock that is been added on the other pan. 
8 0
2 years ago
What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees​
Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

  including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

  and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0
2 years ago
HAVING BAD DAY HELP
ElenaW [278]
12s, you don’t have a value for s, so the problem can’t be fully solved but if you did you would multiply 12 by her speed

Hope this helps
8 0
2 years ago
Read 2 more answers
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