<span>Can 9,999,999 have the same value as what?</span>
Answer:
The length of the ladder is 14.5 ft
Step-by-step explanation:
For a right triangle
sinx = opposite / hypotenuse
Since we know the angle and the opposite side, we can calculate the hypotenuse
sin 64 = 13/ hypotenuse
Multiply each side by the hypotenuse
hypotenuse * sin 64 = 13
Divide by sin 64
hypotenuse = 13/sin 64
hypotenuse=14.4638
Rounding to the nearest tenth
14.5
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that 
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
How many of each kind of shirt were sold?
We have to solve the system of equations.
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28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
A = event the person got the class they wanted
B = event the person is on the honor roll
P(A) = (number who got the class they wanted)/(number total)
P(A) = 379/500
P(A) = 0.758
There's a 75.8% chance someone will get the class they want
Let's see if being on the honor roll changes the probability we just found
So we want to compute P(A | B). If it is equal to P(A), then being on the honor roll does not change P(A).
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A and B = someone got the class they want and they're on the honor roll
P(A and B) = 64/500
P(A and B) = 0.128
P(B) = 144/500
P(B) = 0.288
P(A | B) = P(A and B)/P(B)
P(A | B) = 0.128/0.288
P(A | B) = 0.44 approximately
This is what you have shown in your steps. This means if we know the person is on the honor roll, then they have a 44% chance of getting the class they want.
Those on the honor roll are at a disadvantage to getting their requested class. Perhaps the thinking is that the honor roll students can handle harder or less popular teachers.
Regardless of motivations, being on the honor roll changes the probability of getting the class you want. So Alex is correct in thinking the honor roll students have a disadvantage. Everything would be fair if P(A | B) = P(A) showing that events A and B are independent. That is not the case here so the events are linked somehow.
Answer: So, the length (L) = 7 3/4 ft = 31/4 (as an improper fraction)
the width (W) = (1/3)xL
So the width = 1/3 x (31/4) =
31/12 = 2 7/12 feet
Step-by-step explanation:
