Answer:
Step-by-step explanation:
Let the speed of plane is p and speed of the wind is w.
<u>Then we have:</u>
- 10*(p + w) = 1120 ⇒ p + w = 112
- 20*(p - w) = 1120 ⇒ p - w = 56
<u>Sum the two equations and solve for p:</u>
- p + w + p - w = 112 + 56
- 2p = 168
- p = 84
<u>Find w:</u>
- 84 + w = 112
- w = 112 - 84
- w = 28
Answer:
Step-by-step explanation:
(3p+6)/(7p-9)
Answer: D
Step-by-step explanation:
Answer:
And we can find the probability with this difference and using the normal standard table:
Step-by-step explanation:
Let X the random variable that represent the wages, and for this case we know the distribution for X is given by:
Where and
We want to find this probability:
And we can use the z score formula given by:
Using this formula we have:
And we can find the probability with this difference and using the normal standard table:
<span>Let's call these friends by their first initial:
K = Kiana, G = Gary, M = Monty, W = Willa
Now we can convert the question to a system of linear equations:
Gary has 3 cards more than Kiana, so G = K + 3
Monty has 7 cards more than Kiana, so M = K + 7
Willa has twice as many cards as Monty, so W = 2M = 2(K + 7) = 2K + 14
74 cards given out = all the friends combined, so
74
= K + G + M + W
= K + (K + 3) + (K + 7) + (2K + 14)
= 5K + 3 + 7 + 14
= 5K + 24
50 = 5K
10 = K, so Kiana had 10 cards
G = K + 3 = 13, so Gary had 13 cards
M = K + 7 = 17, so Monty had 17 cards
W = 2M = 34, so Willa had 34 cards
Checking our work, 10 + 13 + 17 + 34 = 74 cards total.</span>