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Answer:
x = 50
Step-by-step explanation:
The angles 70, 60, and y are supplementary, meaning that the sum of them is 180. Therefore,
70 + 60 + y = 180 and
y = 50
That means that x = 50 as well, since vertical angles are congruent
For the first three balls that are chosen, the probability would be found by the following expression: 9/15*8/14*7/13 = 12/65 The numerator decreases since the number of new balls is decreasing with each one that is removed. The denominator decreases since the total number of tennis balls in the box is being decreased. For the second time that balls are chosen, the following expression is used: 6/15*5/14*4/13 = 10/273 The numerator starts with 6 since there are now fewer balls that are unused due to the ones previously have been used. These two fractions are then multiplied to find the total probability that none of the 6 balls were used. 12/65*10/273 = 8/1183
Josh's monthly fuel expenses are $1,050.
<h3><u>Prices</u></h3>
Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:
- 27 = 100
- 33 = X
- 3300 / 27 = X
- 122.22 = X
- 122.22 = 100
- 100 = X
- 10000 / 122.22 = X
- 81.81 = X
- (7700 / 33) x 4.5 = X
- 233.33 x 4.5 = X
- 1050 = X
Therefore, Josh's monthly fuel expenses are $1,050.
Learn more about prices in brainly.com/question/18117910
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Answer:
The answer is Discrete Random Variable
Step-by-step explanation:
A random variable is considered discrete if its possible values are countable.
In our case,
In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.
A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.
