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Slav-nsk [51]
3 years ago
9

Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies

that were conducted with no corporate ties. Of those that were fully sponsored by the food industry, 15 % of the participants found the products unfavorable, 23 % were neutral, and 62 % found the products favorable. Of those that had no industry funding, 38 % found the products unfavorable, 16 % were neutral, and 46 % found the products favorable.a. What is the probability that a participant selected at random found the products favorable?
b. If a randomly selected participant found the product favorable, what is the probability that the study was sponsored by the food industry?
c. If a randomly selected participant found the product unfavorable, what is the probability that the study had no industry funding?
Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

a. 0.26

b. 0.7

c. 0.38

Step-by-step explanation:

For a)

For sponsored studies: 62 %  found the products favorable. The percentage is 0.62.

For non-sponsored studies 46% found the products favorable. The percentage is 0.46

Total probability = P(A) × P (B)

                           = 0.46 × 0.62

                           = 0.2604

For b)

Probability for the food industry = 0.7

For c) 1 - ( 0.62) = 0.38

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Answer:

39,000,000

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8 0
3 years ago
Find the slope of the line containing the points (2,-5) and (-4,9)
eimsori [14]

Answer:

The slope would be -2  1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2  1/3 or -2.3 repeating

I Hope That This Helps! :)

5 0
3 years ago
2-(4p+3)=-3(p+2)-(2p+3)
statuscvo [17]
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.

First, get rid of the parenthesis by <em>distributing.

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8 0
3 years ago
Read 2 more answers
Can someone please help?
Eva8 [605]

Answer: OPTION C

Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.

Therefore, you have:

f(x)*g(x)=(12x^{2}-6x)(2x)

Now, you must apply the distributive property, therefore, you obtain:

f(x)*g(x)=24x^{3}-12x^{2}

As you can see, the answer is the Option C.

3 0
3 years ago
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Explain how to find each root, with its multiplicity, for the polynomial y=x^5-27x^2.
Nuetrik [128]

The roots of y = x^{5}-27\cdot x^{2} are 0 (multiplicity 2), -3 (multiplicity 1), -\frac{3}{2}+i\,\frac{3\sqrt{3}}{2} (multiplicity 1) and -\frac{3}{2}-i\,\frac{3\sqrt{3}}{2} (multiplicity 1).

The characteristics of the polynomial can be derived from algebraic techniques. Roots and multiplicity can be found by <em>factoring</em> the polynomial. The multiplicity is represented by a power binomial of the form:

(x-r_{i})^{m},\,m \le n (1)

Where n is the grade of the polynomial.

Now we proceed to factor the formula:

y = x^{5}-27\cdot x^{2}

y = x^{2}\cdot (x^{3}-27)

y = x^{2}\cdot (x^{2}+3\cdot x +9)\cdot (x-3)

Please notice that x^{2}+3\cdot x + 9 have two complex roots.

y = x^{2}\cdot \left(x+\frac{3}{2}-i\,\frac{3\sqrt{3}}{2}  \right)\cdot \left(x+\frac{3}{2}+i\,\frac{3\sqrt{3}}{3}  \right)\cdot (x-3)

The roots of y = x^{5}-27\cdot x^{2} are 0 (multiplicity 2), -3 (multiplicity 1), -\frac{3}{2}+i\,\frac{3\sqrt{3}}{2} (multiplicity 1) and -\frac{3}{2}-i\,\frac{3\sqrt{3}}{2} (multiplicity 1).

We kindly invite to see this question on polynomials: brainly.com/question/1218505

7 0
3 years ago
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