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poizon [28]
2 years ago
12

Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls and that 2 balls are chosen at random without replac

ement. Construct a probability tree for this problem. What is the probability that 2 green balls will be chosen?
Mathematics
1 answer:
Contact [7]2 years ago
4 0

\frac{2}{170}

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Leonardo read that his reptile food should be given at a temperature of 72.5°F. He keeps the food in the freezer at –4°F. He has
Finger [1]

now divide 76.5 by 8.5

76.5/8.5 = 9 hours

3 0
2 years ago
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According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p
Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

4 0
2 years ago
Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles
astra-53 [7]

Answer:

It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.

SO, Lin will arrive at 4:25

and Jada will arrive at 4:30

There is a 5 minute difference in time.

Step-by-step explanation:

From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.

To get these answers you divide the current speeds into the total distance

For example, in Lin's case...

3.25 (The 3 and 1/4 mile converted to decimal form)

2.6 (Lin's Average speed per hour)

3.25/2.6=1.25

1.25 (1 hour and 25 minutes)

5 0
2 years ago
Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
Line segment ON is perpendicular to line segment ML, and PN = 10.
Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

MO=OL=radius\ of\ circle=25\ units

ON=25\ units

ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units

ML=2*MP\\ ML=2*20\\ ML=40\ units

Find the area of triangle MOL

A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}

therefore

the answer is

the area of triangle MOL is

300 square units

3 0
2 years ago
Read 2 more answers
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