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Feliz [49]
3 years ago
7

the odds of rolling a certain number on a single die is 1 chance in 6 rolls. in course of a game, someone rolled 3 fives. accord

ing to the odds, how many times must that person have thrown the die
Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

18

Step-by-step explanation:

The expected value is the probability times the frequency.

3 = 1/6 × n

n = 18

Note: the use of the word "odds" is very misleading here.  Odds are the ratio of number of successes to number of failures:

S / F

Probability is the ratio of number of successes to number of all outcomes:

S / (S + F)

So the probability of rolling a 5 is 1/6.  The odds of rolling a 5 is 1/5.

Furthermore, the word "must" is also incorrect.  The player didn't <em>have</em> to roll 18 times.  They could have rolled three times and gotten a 5 each time.  Or they could have rolled 100 times.  18 is simply the most <em>likely </em>number of rolls needed to get three 5's.

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You are working as an apprentice for the bksb Newcastle Arena.
Advocard [28]
To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.

To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.

Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.

Perimeter:

C= 3.14 x 20 m
C = 62.8 meters

62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter

Area:
A = 25 x 8
A = 200 square meters

A = 10 x 8
A = 80 square meters

A = 20 x 40
A = 800 square meters

A = 3.14 x 10^2
A = 314 square meters

Total Area: 314 + 800 + 80 + 200= 1394 square meters
8 0
3 years ago
Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is
Kipish [7]

We are given

length of rectangular yard is x

so, L=x

width of rectangular yard is

so, W=2x^2-98x+5

We are given

the length of the enclosed yard is 50 feet

so, we get

L=x=50

now, we can plug x=50 and then we can find width

W=2(50)^2-98(50)+5

W=105

now, we can find total fencing length

so, total fencing length is

=2L+2W

now, we can plug values

=2\times 50+2\times 105

=310feet

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

C=13\times 310

C=4030

So, Janice will spend $4030.........Answer

6 0
3 years ago
1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of th
yKpoI14uk [10]

Answer:

V = 8,181.23 cm^{3}

Step-by-step explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V = \frac{4}{3} * \pi  * r^{3}

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V = \frac{4}{3} * \pi  * 12.5^{3}

V = \frac{4}{3}  * \pi  * 1953.125

V = 8,181.23 cm^{3}

5 0
3 years ago
Harry buys a TV priced at £1200 plus 20% VAT.
RoseWind [281]

Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

Number of months = 10

Amount paid monthly =.?

Amount paid monthly = Balance / number of month

Amount paid monthly = 1140 / 10

Amount paid monthly = £ 114

Therefore, Harry will pay £ 114 monthly.

4 0
2 years ago
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MAXImum [283]
I know this is not an answer but if your having trouble with this there is a website called Desmos all you do is type in the equation for the graph and it gives you the answer
6 0
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