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igomit [66]
3 years ago
8

There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 d

ark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

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Answer:

3.5

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2 years ago
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Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

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Z = \frac{0.03}{0.01752992669}

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So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

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5 0
2 years ago
PLEASE HELP WITH ALGEBRA AND SHOW WORK :) an explanation would be nice too because this topic confuses me :/
fgiga [73]

A.

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B.

f(x)=(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\ f(t)=(t+2)^2-18 \Rightarrow \text{vertex}=(-2,-18)


It's a minimum, becuase a=1>0.


C.

The axis of symmetry is x=h. So, in this case, it's x=-2.


6 0
3 years ago
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forsale [732]

Answer:

Enjoy:)

Step-by-step explanation:

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2 years ago
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Ray Of Light [21]

Answer:

The slope of the line is 7/2.

Step-by-step explanation:

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From the given figure it is clear that the line passes though two points (0,0) and (4,14).

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7 0
3 years ago
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