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Masja [62]
3 years ago
12

A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that

the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?
Mathematics
2 answers:
harkovskaia [24]3 years ago
7 0

Answer:

5%

Step-by-step explanation:

harkovskaia [24]3 years ago
3 0

Answer: 5%

Step-by-step explanation:

I got it from someone else

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Which of the following statements best describes the "grouping method" of factoring trinomials?
Masja [62]

Answer:

  • <em>B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping</em>

Explanation:

The description may be better explained by applying it to an example.

Example:

  • trinomial: x² - x - 30

  • the general form of a trinomial is a x² - bx - 30

  • comparing with x² - x - 30 the <em>bx term </em>is - x

  • then you must <em>rewrite the bx term, - x,</em> into two terms whose coefficients are factors of 30:

          Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.

           Hence, the two terms are -6x and 5x, and the expression rewritten is:

            x² - 6x + 5x - 30

  • <em>factor these four terms using grouping</em>:

            (x² - 6x) + (5x - 30)

            x(x - 6) + 5(x - 6)

            (x - 6) (x + 5)

Hence, the factored trinomial is (x - 6) (x + 5)

4 0
3 years ago
What is the range of the given function?
slava [35]
{y/y=-9,-3,0,5,7} the range are the y values of a function or relation
7 0
3 years ago
Brian and Christina started keeping track of their workouts. Brian did 85 sit-ups the first week and 90 sit-ups each week after
IrinaK [193]

Brian-90×5+85=535

Christina-90×5+65=515

So after 5 weeks Brian will do 535 push ups and Christina will have done 515.

6 0
3 years ago
Ifa line segment has a length of 12 units and after a dilation the image
BlackZzzverrR [31]
<h3>Answer: Choice A) 1/3</h3>

================================================

Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

4 0
3 years ago
In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of
Gwar [14]
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx  12.67 \ cm
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC}  \\  \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx  0.7804

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°


<span>I hope this helps</span>

7 0
4 years ago
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