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Vikentia [17]
3 years ago
5

Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the

probability that he gets a slice without olives?
Mathematics
2 answers:
Vika [28.1K]3 years ago
4 0
The probability is 1/4 or 25%
Tom [10]3 years ago
3 0

Answer:

16 slices of pizza without 2 olives

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56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(
PIT_PIT [208]

There are 2 tangent lines that pass through the point

y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2

and

y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2

Explanation:

Given:

y=\frac{x}{x+1}

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

y=m(x-1)+2 [1]

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for m:

\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\

\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}

\frac{dy}{dx}= \frac{1}{(x+1)^2}

m=\frac{1}{(x+1)^2} [2]

Substitute equation [2] into equation [1]:

y=\frac{x-1}{(x+1)^2}+2 [1.1]

Because the line must touch the curve, we may substitute y=\frac{x}{x+1}:

\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2

Solve for x:

x(x+1)=(x-1)+2(x+1)^2

x^2+x=x-1+2x^2+4x+2

x^2+4x+1

x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}

x=-2 ± \sqrt{3}

x=-2 ± \sqrt{3}<em> </em>and x=-2-\sqrt{3}

There are 2 tangent lines.

y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2

and

y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2

8 0
2 years ago
What is b in 5b+4=24?
Fittoniya [83]

Answer:

b = 4

Step-by-step explanation:

5b + 4 = 24

5b = 20

b = 4

7 0
3 years ago
Read 2 more answers
I need help on this onee plizzzz
nika2105 [10]
(45+20)/(42+45+20+32)
65/139
<span>46.762589928%</span>
4 0
3 years ago
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What element is found more in complex carbohydrates than in simple carbohydrates?
zepelin [54]
The answer is  D Sugars. 
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a researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does
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A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a prospective study.

<h3>Define prospective study.</h3>

Individuals are tracked over time in prospective studies, and information is gathered about them as their characteristics or circumstances change. Prospective studies include things like birth cohort studies. In retrospective research, people are sampled, and details about their past are gathered. Always after a predetermined number of incidents, the analysis takes place. The fact that individuals were enrolled and baseline data was obtained before any subjects experienced an outcome of interest identifies a study as prospective.

Given,

A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a ...

Prospective study

To learn more about prospective study, visit:

brainly.com/question/28565073

#SPJ4

3 0
1 year ago
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