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egoroff_w [7]
4 years ago
9

A basket contains five apples and seven peaches. Four of the apples and two of the peaches are rotten. You randomly pick a piece

of fruit. It is fresh or it is an apple. Find the probability of this occuring.
Mathematics
2 answers:
mash [69]4 years ago
6 0
2/35possible outcomes:5*7=35fresh or apple = 22/35
Lena [83]4 years ago
5 0

Answer:\frac{5}{6}

Step-by-step explanation:

Given

5 apples and 7 peaches out of which 4 apples and 2 peaches is rotten

i.e. 1 apple and 5 peaches is fresh

probability of fresh fruit is =\frac{6}{12}

probability of apple =\frac{5}{12}

Probability of both =\frac{1}{12}

Probability of fresh or an apple is=\frac{6}{12}+\frac{5}{12}-\frac{1}{12}

=\frac{5}{6}

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1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?
jeka57 [31]

Answer:

1) C

2) D

Step-by-step explanation:

1)

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41}  \end{aligned}

Our answer is C.

2)

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

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Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}

Our answer is D.

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