Answer:
x=1/4
Step-by-step explanation:
you would take a away 1/2 from each side so it would look like this
x+1/2=3/4
<u>-1/2 -1/2</u>
x=3/4-1/2
and 3/4-1/2 is 3/4-2/4=1/4
x=1/4
Answer:
B. 6x2+x+7
Step-by-step explanation:
combine like terms
3x^2+3x^2= <u>6x^2</u>
<u>x</u>
3+4=<u>7</u>
Answer:
The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.
Step-by-step explanation:
We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.
Let X = <u><em>Number of hits made by a baseball player</em></u>
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 7 at-bats
r = number of success = exactly 2 hits
p = probability of success which in our question is batting average
of a baseball player, i.e; p = 0.25
SO, X ~ Binom(n = 7, p = 0.25)
Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)
P(X = 2) =
=
= <u>0.3115</u>
Using the exponential model given, the number of bacteria in the culture after 9 minutes after the observation began will be 4789
<u>Given the exponential model</u> :
- <em>t = number of minutes after observation begins </em>
<u>The number of bacteria in the culture 9 minutes after the observation began can be calculated thus :</u>
<em>Substitute 9 for t in the exponential equation :</em>
Therefore, the number of bacteria in the culture after 9 minutes will be about 4789
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