In this question, you have to isolate <em>x</em>.
First, use the distributive property.
Now that you have distributed, subtract the constants.
P(allergic) = 0.15
P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)
Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability
Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555
P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
Answer:
60
Step-by-step explanation:
Assuming that all 54 shelves hold the same number of books its just a matter of dividing them (or sharing them equally) on each shelf.
3240 / 54 = 60
Each shelf holds 60 books.
Using cosine, we can find the hypotenuse by using the formula below;
hypotenuse = adjacent / cos ∅
<h3 /><h3 /><h3>Trigonometric ratios:</h3>
- Trigonometric ratios are ratios of sides of a right angled triangle.
- The simplest ratios are cosine, sine and tangent.
Using cosine, the hypotenuse side can be solved as follows:
cosine ∅ = adjacent / hypotenuse
cross multiply
hypotenuse cos ∅ = adjacent
divide both sides by cos ∅
hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅
Therefore,
hypotenuse = adjacent / cos ∅
learn more on cosines here: brainly.com/question/10657732?referrer=searchResults
Correct Answer:
Option 3: <span>The quadratic function has two distinct real zeros.
The function is quadratic, therefore it can have only 2 zeros. The knowledge of x-intercepts is needed to determine the zeros, y-intercepts has nothing to do with the zeros of a function. The given function has 2 unique x-intercepts, so according to the fundamental theorem of algebra, this function has 2 distinct real roots as number of distinct real roots are equal to the number of x-intercepts. Therefore, option 3 is the correct answer. </span>
