ANSWER
0.756
EXPLANATION
Let x represent number of correct answers.
We can find
which leads us to
which uses the compliment of 
to find the probability of getting at least 2 questions correct.
Note that since 
and 
are mutually exclusive, we have
Then 
as we have 
to answer the questions incorrectly divided by the total 
to answer the questions.
Exactly 1 answer correct: 
Therefore
![\begin{aligned} P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\ &=1 - \big[P(x=0) + P(x=1)\big] \\ &=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\ &\approx 0.756 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%0AP%28x%20%5Cge%202%29%20%26%3D%201%20-%20P%28x%20%3D%200%5Ctext%7B%20or%20%7Dx%20%3D1%29%20%5C%5C%0A%26%3D1%20-%20%5Cbig%5BP%28x%3D0%29%20%2B%20P%28x%3D1%29%5Cbig%5D%20%5C%5C%0A%26%3D1%20-%20%5Cleft%5B%20%283%2F4%29%5E%7B10%7D%20%2B%20%7B%7D_%7B10%7DC_1%20%5Ccdot%20%283%2F4%29%5E9%281%2F4%29%5E1%20%5Cright%5D%20%5C%5C%0A%26%5Capprox%200.756%0A%5Cend%7Baligned%7D%20)
Answer:
Step-by-step explanation:
the given expression is equivalent to (-9/4) / [-2/3] = (-9/4)*(3/2) = 27/8
He spent $14.44 more on groceries this week than last week
<h3>How to determine the additional amount that was spent this week?</h3>
From the question, the given parameters are
Amount spent last week = $58.34
Amount spent this week = $72.78
The additional amount that was spent at the grocery store this week is calculated by subtracting the amount spent this week from the amount spent last week
This is represented as
Additional amount = Amount spent this week - Amount spent last week
Substitute the known values in the above equation
So, we have
Additional amount = 72.78 - 58.34
Evaluate the difference
Additional amount = 14.44
Hence, an additional of $14.44 was this week
Read more about difference at
brainly.com/question/28643850
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Answer:
Exact Form:
39
/10
Decimal Form:
3.9
Mixed Number Form:
3 9/10
Step-by-step explanation:
Answer:
1) Find the Least Common Denominator (LCD)
2) Find the equivalent fractions.
3) Add or subtract the fractions and add or subtract the whole numbers.
4) Write your answer in lowest terms.
