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boyakko [2]
4 years ago
8

An experiment involves tossing a die. these are some of the events:

Mathematics
2 answers:
Lena [83]4 years ago
8 0

"Tossing a die" is assumed to mean choosing a random face of a cube with faces numbered 1 through 6 such that the probability of choosing any particular face (number) is 1/6.

Event <em>a</em> is "observe a 2". Event <em>b</em> is "observe an even number". The event "<em>a</em> and <em>b</em>" is "observe 2 and an even number". This matches precisely the description for event <em>a</em>. In other words

... <em>a</em> and <em>b</em> = <em>a</em>

... p(<em>a</em> and <em>b</em>) = p(<em>a</em>) = p(choosing 2) = 1/6

8090 [49]4 years ago
5 0

Answer:

<u>Option-</u> B

  • An experiment involves tossing a die. these are some of the events during which we can be able to observe an even number.                                                                                                                      

Step-by-step explanation:

  • It is more obviously to know that there will be six sides for us to observe and each time we will get an even number to observe during the process.So, it all goes with the mechanisms of the probability that are taken under considerations when we speak about such events to happen.
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Use the figure below and 2-3 sentences to explain the following:
nydimaria [60]

Answer:

See below

Step-by-step explanation:

The side opposite angle E is side e (DF)

The side adjacent to angle E is side d (EF)

The hypotenuse is side f (ED)

5 0
3 years ago
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Alla [95]
For all of the questions? Because
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1x1x1=1
5x5x5x5x5x5=15,625
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5 0
3 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
3 years ago
17 The table shows some information about the dress sizes of 25 women.
eimsori [14]

Answer:

8.5 or 8½

Step-by-step explanation:

Arranged numbers in ascending order

2, 6, 8, 8, 9, 10, 12, 14

Median = middle number i. e 8 and 9

Therefore median = 8 + 9 divided by 2

= 17 divided 2

= 8.5

Answers = 8.5 or 8½

6 0
3 years ago
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