Answer:
Step-by-step explanation:
Given
Required
Find A, B and C
Rearrange the expression
To do this, we simply compare the expressions on both sides of the equation.
So, we have:
--- (1)
--- (2)
--- (3)
Divide both sides by x² in (1)
Divide both sides by x in (2)
Substitute 2 for A.
Make B the subject
Substitute 2 for A and -1 for B in (3)
Make C the subject
One litter is 1000 milliliters
if each friend wants 400 milliliters, and there are ten friends, samantha needs 4000 milliliters of lemonade
since each pitcher can hold 2 liters, or 2000 milliliters, she’ll need to refill it 2 times
this is because 4000/2000 is 2
final answer: 2 times
hope this helped!!
Answer:
P=0.125
If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.
Step-by-step explanation:
When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.
In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:
If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:
because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.
Answer: No 1; x = 44 and
No 2; YA = 8
Step-by-step explanation: In the first parallelogram ABCD, angle D measures x, while angle A measures 3x + 4. Both angles are on the same side of the parallelogram and that means angles A and C are equal while angles B and D are also equal. It also means angles A and D are supplementary (that is, angle A and angle D equals 180). That being the case,
Angle A + Angle D = 180
3x + 4 + x = 180
4x + 4 = 180
Subtract 4 from both sides of the equation
4x = 176
Divide both sides of the equation by 4
x = 44
In the second parallelogram XYZW, diagonal XZ bisects diagonal YW at point A. Where both diagonals bisect each other, is the midpoint for both lines XZ and YW respectively. Hence, line YA equals line WA which can be expressed as
YA = WA
2t = 3t - 4
By collecting like terms we now have
4 = 3t - 2t
4 = t
If t = 4, then 2t (line YA) equals;
YA = 2t
YA = 2(4)
YA = 8
Therefore, (No 1) x = 44,
(No 2) YA = 8
