How many words did she type in 5 minutes ?
65x5 - 4 = 325 - 4 = 321 words
Answer:
y2=-8x is what's graphed so B.
Step-by-step explanation:
(I think you mistyped the choice)
The angles should be included between the equal sides
Answer:
<u></u>
- <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>
<u></u>

<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
Given:

To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:

31x can be written as 3x + 28x.

Take 3x common in 1st two terms and 7 common in next two terms.

Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).

In the same way, factorize the denominator:

8x can be written as 4x + 4x.

Take 4x common in 1st two terms and 1 common in next two terms.

Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).

Substitute the terms we found for numerator and denominator:

Cancel the common factors.

The simplified expression is
.