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Snezhnost [94]
3 years ago
7

A batch of cookies calls for 3 4 34 cup of flour. You want to make 1 2 12 of a batch. How much flour do you need?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
Is this 3 and 4/34 cup of flour and 1 2/12 batch?

okay....
Set up a ratio problem (I reduced the fraction and also changed to improper)

 53/17 = 1 batch
----------   ---------
    x          7/6
x = 53/17 x 7/6
x = 371/102
x = 3  65/102
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3 years ago
Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0
3 years ago
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
gtnhenbr [62]

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

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2 years ago
On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on th
Anestetic [448]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
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A pool cover is 25 feet by 50 feet. What is its square area in meters?
Katyanochek1 [597]

Answer:

1250 m^2

Step-by-step explanation:

Area = 25 * 50 = 1250 m^2

8 0
3 years ago
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