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:
<h2>124.1m</h2>
Step-by-step explanation:
29.4 per sec > Building 80m
Height = S = 4.9t^2 + 29.4t + 80
Solve for t:
t = 1.24 (approximately)
If t needed coordinates / solve using the quadratic formula:
t = (1.24 , -7.24)
<h3>The ball's maximum height is 124.1 meters.</h3>
Answer:
√26ft
Step-by-step explanation:
area of triangle =half ×base×height
Answer:
(30, ∞)
Step-by-step explanation:
b – 27 > 3
Add 27 to both sides
b > 30
In interval notation
(30, ∞)
<h3>
<em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>a+a+a+a+a+a</u></em></h3>
<em><u>=(a+a+a+a+a+a)</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>6a</u></em>
<h3><em><u>b. 5x-4x+10x</u></em></h3>
<em><u>=(5x+−4x+10x)</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>11x</u></em>
<h3><em><u>c. 9t+3t-6t</u></em></h3>
<em><u>=(9t+3t+−6t)</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>6t</u></em>
<h3><em><u>d. -5j+11j+j</u></em></h3>
<em><u>=(−5j+11j+j)</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>7j</u></em>
<h3 />
