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Marysya12 [62]
3 years ago
12

There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui

t will be a nectarine? Type your answer as a fraction in simplest form.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
Lyrx [107]

Answer:

  (a, b, c) = (30°, 60°, 105°)

Step-by-step explanation:

Angle "a" and 30° are vertical angles, hence equal.

Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.

Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.

___

Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...

  a+b = 180°-90° = 90°

___

75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.

6 0
3 years ago
Convert 12 7/12 to a common number
o-na [289]
As a decimal it is 0.58
8 0
3 years ago
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Which equation is a direct variation function?<br><br> y = 4<br> y = 1/3x+ 4<br> y = x<br> y = x3
Aleks04 [339]

Answer:

y=4

Step-by-step explanation:

its asking which one you can answer without any more context, in this case its y=4 because all the other ones evolving x lead to a rabbit hole and will take you in circles.

8 0
2 years ago
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pleas help on the second ASAP it was due yesterday.. i dont even understand how to do any of it and i will give brainliest &lt;3
aliya0001 [1]

Answer:

3x^{4}

Step-by-step explanation:

I suggest looking lessons on it online if you don't understand... It's hard to do your work especially if you don't understand it. Or if your online, go to past lessons or something.

6 0
3 years ago
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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
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