These problem can be solved using conversion fractions. A conversion fraction is a unitary fraction that we use to convert units; the idea is multiply the unit we want to convert by a fraction with the same unit as denominator and the target unit as numerator.
First, we are going to find how many grams are lb. Since we know that , we just need to multiply by the conversion fraction :
Grams per person =
Next, we are going to find the total amount of grams Adam will need. Since there are 14 persons, we just need to multiply the grams per person by 14:
Total grams =
Since the cost of the turkey is expressed in kilograms, we need to convert the total grams to kilograms. We know that 1 kg = 1000 g, so we need to multiply the total grams by the conversion factor :
Total kg =
Now we know know that Adam will need to buy 4.725 kg of medium size turkey, so the only thing left is multiply the price of the medium size turkey by the total kg:
Total cost =
We can conclude that a turkey for 14 people will cost£28.30.
b. What is the probability of owing $100 or more?
The probability in the game show 'Spinning for Luck!' depends on the sector division of each wheel and the range of dollar amounts and multipliers. To calculate, find combinations resulting in the desired outcomes and divide by total combinations.
The subject of this question is probability. It's difficult to answer directly since we do not have enough data. However, let's take an example. If each wheel has 10 sectors with equal chance of landing, and let's suppose the dollar amounts are from $10 to $100(increment of $10) and multipliers are from -2 to 8. To win $100 or more, in this setup, the first wheel needs to land on a $50 (and multiplier 2), a $20 with multiplier of 5, and so on. The amount of combinations resulting in $100 or above would need to be calculated and divided by the total amount of combinations (100).
Also, to owe $100 or more, we need to be unlucky enough to land on -2 multiplier, and amount more than $50. Again, we calculate combinations and divide by total combinations.
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Answer a ) 25%
Answer b ) 8.33%
The following formula can be used to determine the likelihood of both winning and owing $100 or more:
a. ) Chance of winning at least $100:
On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.
On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.
The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.
The likelihood of earning $100 or more is thus 0.25, or 25%.
b. ) Likelihood of having at least $100 in debt:
The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.
A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.
1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).
Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.
Therefore the final answer is 25% and 8.33%.
To know more about probability visit : brainly.com/question/11234923
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–2x + 6y = 14
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
What number would you multiply the first equation by in order to eliminate the y-terms when adding to the second equation?
Keywords:
Systems of equations, variables, values, steps
For this case we have a system of two equations with two variables given by "x" and "y" respectively. We must solve the system by finding the values of the variables. For this, we follow the steps below:
Step 1:
We multiply the second equation by 3:
Step 2:
We add both equations:
Step 3:
We substitute in the first equation:
Thus, the solution of the system is given by
Answer:
The second equation must be multiplied by "3" to eliminate the terms of the "x" when added with the first equation
The first equation must be multiplied by "2" to eliminate the terms of the "y" when added with the second equation
The system solution is given by
B. $150
C. $180
D. $295
A. add 8 to each side of the equation.
B. add 64 to each side of the equation.
C. multiply both sides of the equation by 1/4.
D. multiply both sides of the equation by 1/8.