Answer:
The probability that the first card is a Heart and the second card is a Spade is 0.064.
Step-by-step explanation:
A standard deck of 52 cards is shuffled and two cards are drawn without replacement.
The denominations of the cards are as follows:
Spades (S) = 13
Hearts (H) = 13
Diamonds (D) = 13
Clubs (C) = 13
Compute the probability of selecting a Heart first as follows:
Compute the probability of selecting a Spade second as follows:
Since the two cards are selected without replacement the second draw is independent of the other.
Then the probability that the first card is a Heart and the second card is a Spade is:
Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.
Answer:
Step-by-step explanation:
The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:
Total cost = $2,50 + $1 + $0.50
Total cost = $4
Farmer McHenry's revenue depends on the number of tomatoes he sells:
Revenue (t)= Price* t
Revenue (t)= $0.50(t)
To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:
$4=$0.50 (t)
t= $4/$0.50
t= 8
He must sell 8 tomatoes.
Answer:
(1, 3) and (4,0)
Step-by-step explanation:
The quadratic function is 
We can rewrite in the form 
The graph is obtained by shifting the parent quadratic function 3 units right and 1 unit down to obtain the parabola shown in the attachment.
The straight line also have equation 
The slope is -1 and y-intercept is 4.
We can easily graph this straight line on the same graph as shown in the attachment.
The two graphs intersected at (4,0) and (1,3).
The solution set is therefore {(x,y)|x=4,y=0 or x=1,y=3}
Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?
Let x = 49
(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147
I think the answer is 1
Explanation:2x+2=x+3
Subtract the 2 and the x from both sides
1x=1
Divide by one then you get 1
