2x = 360/4
x = 90 / 2
x = 45
Hope this is the answer you are looking for!
30% is equivalent to the fraction 3/10
As 3/10 cannot be simplified anymore, it is your final answer.
Answer:
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- <u>a) P(X=1) = 0.302526</u>
- <u>b) P(X=5) = 0.010206</u>
- <u>c) P(X=3) = 0.18522</u>
- <u>d) P(X≤3) = 0.92953</u>
- <u>e) P(X≥5) = 0.010935</u>
- <u>f) P(X≤4) = 0.989065</u>
Explanation:
Binomial experiments are modeled by the formula:

Where
- P(X=x) is the probability of exactly x successes
- p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.
- n is the number of trials
- 1 - p is the probability of fail
- there are only two possible outcomes for each trial: success or fail.
<u>a.) P (x=1)</u>
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<u>b.) P (x=5)</u>

<u>c.) P (x=3)</u>
Using the same formula:

<u>d.) P (x less than or equal to 3)</u>
- P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)
Also,
- P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)
You can use either of those approaches. The result is the same.
Using the second one:
- P(X=4) = 0.059335
- P(X=5) = 0.010206
- P(X=6) = 0.000729
- P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953
<u>e.) P(x greather than or equal to 5)</u>
- P(X≥5) = 0.010206 + 0.000729 = 0.010935
<u>f.) P(x less than or equal 4)</u>
- P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)
- P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065
Answer:
The equation is a function
Step-by-step explanation:
-3x + 8 = y
Reverse the function.
y = -3x + 8
Draw a graph of y vs x (below)
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
Answer:
C=5h+3 when h=5
C=28
Step-by-step explanation:
She charges $5 per hour (5h)
and a flat fee of $3 (+3).
Replace the h (the number of hours babysitting) with 5 (the amount of hours you want to find for).
Then you multiple 5 and 5, then add 3.
Which gives you an answer of $28.
Hope this helped!