Answer:
It's 63.29
Step-by-step explanation:
Step 1: We make the assumption that 158 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=158.
Step 4: In the same vein, x%=100.
Step 5: This gives us a pair of simple equations:
100%=158(1).
x%=100(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 158/100
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 100/158
x= 63.29%
Therefore, 100 is 63.29% of 158.
Answer:
The probability that there are more heads than tails is equal to 
.
Step-by-step explanation:
Since the number of flips is an odd number, there can't be an equal number of heads and tails. In other words, there are either
- more tails than heads, or,
- more heads than tails.
Let the event that there are more heads than tails be 
. 
(i.e., not A) denotes that there are more tails than heads. Either one of these two cases must happen. As a result, 
.
Additionally, since this coin is fair, the probability of getting a head is equal to the probability of getting a tail on each toss. That implies that (for example)
- the probability of getting 7 heads out of 15 tosses will be the same as
- the probability of getting 7 tails out of 15 tosses.
Due to this symmetry,
- the probability of getting more heads than tails (A is true) is equal to
- the probability of getting more tails than heads (A is not true.)
In other words 
.
Combining the two equations:
,
.
In other words, the probability that there are more heads than tails is equal to .
This conclusion can be verified using the cumulative probability function for binomial distributions with as the probability of success.
.
Answer:
In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) The y-coordinates of points A and B are both -2, so there is no change in the y-value between those points. The x-coordinates differ by 4, so the slope is ...
... slope = (change in y)/(change in x) = 0/4 = 0
b) The y-value is constant at -2 for any value of x, so the equation of the line is ...
... y = -2
Answer:
The answer is No the ratio of first is 1:10 but the ratio of the second is 3:25
Step-by-step explanation:
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