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sdas [7]
1 year ago
4

Anna challenges Sarah to a game where Sarah flips a fair coin and then randomly chooses a card from a small deck of cards that i

ncludes only 111 jack, 111 queen, 111 king, and 111 ace.The only way Sarah can win is by flipping heads and then choosing either the jack or the queen.If XXX is a random variable that represents Sarah's outcome, drag the bars to graph the probability distribution for all possible values of XXX.
Mathematics
1 answer:
taurus [48]1 year ago
5 0

The probability distribution for all possible values of X are given in the discrete probability table ;

  • X : ____ winning ____ not winning

  • P(X) : ____ 0.25 ________ 0.75

<em>Fair coin = {H, T} </em>

<em>card = {J, Q, K, A} </em>

<u>Sample space</u> :

  • __ H ___ T
  • J | HJ __ TJ
  • Q| HQ __TQ
  • K| HK __ TK
  • A| HA __ TA

  • Total possible outcomes = sample space = 8

  • Winning selection = {HJ, HQ}

Probability of winning ; P(Winning) = 2/8 = 1/4 = 0.25

<u>Probability of not winning</u> ;

1 - P(wininng) = 1 - 1/4 = 3/4 = 0.75

X : ____ winning ____ not winning

P(X) : ____ 0.25 ________ 0.75

Learn more : brainly.com/question/25274933

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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0
2 years ago
Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intre
Marianna [84]

Answer:

$45

Step-by-step explanation:

We are given the following information;

  • Money invested (Principal) is $300
  • Rate of interest is 5% per annum
  • Time the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

  • Simple interest is calculated by the formula;
  • Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

                         = $45

Thus, the money invested earned a simple interest of $45

3 0
2 years ago
Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

R(x)=16.50x.

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

The company has to sell 134 750 units to break even.

6 0
2 years ago
The dot plots show the number of first cousins the boys and girls in Miss Campbell‘s class have. Based on the dot plot, which se
FromTheMoon [43]

Answer:

its the threed one.

Step-by-step explanation:

3 0
2 years ago
Given that 1 inch = 2.54 cm, 1 cm3 is equal to
Mashutka [201]
<span>We know that 1 cm3 is 1 cm * 1 cm * 1 cm, so in inches: 1 cm3 = 1 inch3/2.54^3 cm3 = 1/2.54*1/2.54*1/2.54 = 1/16.387 = 0.061 inch3 Another way to solve is: 1 inch = 1 inch/2.54 cm = 0.3937 cm Then 1 inch3 = 0.3937^3 cm = 0.061 inch3</span>
7 0
2 years ago
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