Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
We want to find the probability of drawing 3 red cards from a deck of 52 cards.
We will find that the probability is P = 0.1176
Let's see how to get that probability.
We know that a standard deck of 52 cards has:
- 26 red cards
- 26 black cards
And we assume that all the cards have the same probability of being drawn. Then the probability of drawing a red card in the first draw is just the quotient between the number of red cards and the total number of cards, we get:
p₁ = 26/52
For the second draw, we compute the probability in the same way, but now there are 25 red cards in the deck and 51 cards in total (because one is already drawn). Then the probability in this case is:
p₂ = 25/51
Finally, for the third card, we have 24 red cards and 50 total cards, then the probability will be:
p₃ = 24/50
The joint probability (the probability of drawing the 3 red cards in the same event) is the product of the individual probabilities.
P = p₁*p₂*p₃ = (26/52)*(25/51)*(24/50) = 0.1176
If you want to learn more, you can read:
brainly.com/question/10224828
Answer:
I think x=28
Step-by-step explanation:
4/5 = x/35
5*7=35
4*7=28
Answer: 65/100 or simplified
Step-by-step explanation:
Answer:
The mode of the following number of countries randomly selected travelers visited in the past two years is 13.
Step-by-step explanation:
The mode of a data-set is the value that appears the most commonly, the most frequently.
In this data-set:
13 appears 3 times
7 and 4 twice
The others once
So 13 is the mode.
