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4 years ago

A recipe calls for 4cups of flour for 12

Mathematics

1 answer:

Dmitriy789 [7]4 years ago

7 0

Answer:

15 muffins

Step-by-step explanation:

We can use proportion to solve this.

Let x be the number of muffins that can be made with 5 cups of flour

4 cups = 12 muffins

5 cups = x

cross-multiply

4×x = 12 × 5

4x = 60

Divide both-side of the equation by 4

$\frac{4x}{4}$ = $\frac{60}{4}$

(On the left-hand side of the equation, 4 on the numerator will cancel-out 4 on the denominator, while on the right-hand side of the equation 60 will be divided by 4)

x = 15 muffins

15 muffins can be made with 5 cups of flour.

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Sin (61) = 24/ x find x plz show work

lys-0071 [83]

Answer:

x=27.44

Step-by-step explanation:

sin(61)=24/x

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x=27.44

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3 years ago

Seventy percent of light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircra

alukav5142 [94]

Answer:

Figure out the various probabilities first, that will make the rest of the questions easier:

P(discovered) = .7

P(not discovered) = 1 - .7 = .3

P(locator|discovered) = .6

P(no locator|discovered) = 1 - .6 = .4

P(locator|not discovered) = 1 - .9 = .1

P(no locator|not discovered) = .9

P(discovered and locator) = .7 * .6 = .42

P(discovered and no locator) = .7 * .4 = .28

P(not discovered and locator) = .3 * .1 = .03

P(not discovered and no locator) = .3 * .9 = .27

a) The total probability that an aircraft has a locator is .42 + .03 = .45. So the probability it will not be discovered, given it has a locator, is .03/.45 = .067

b) The total probability that an aircraft does not have a locator is .28 + .27 = .55. So the probability it will be discovered, given it does not have a locator, is .28/.55 = .509

c) Probability that 7 are discovered = C(10,7) * P(discovered|locator)^7 * P(not discovered|locator)^3

We already figured out P(not discovered|locator) = .067, so P(discovered|locator) = 1-.067 = .933. C(10,7) = 10*9*8, so we can compute total probability: 10*9*8 * .933^7 * .067^3 = .133

Step-by-step explanation:

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4 years ago

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Answer: A.

Step-by-step explanation:

To find mean, average the numbers in the data set by adding them together and dividing by the number of values.

(96 + 77 + 82 + 91 + 89) / 5 = 87.

To find median, take the "middle" value of the data set. To find this, you can sort the numbers in ascending order and remove the same amount of values from each side.

77 / 82 / 89 / 91 / 96, the median is 89.

Therefore, the mean is less than the median.

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3 years ago

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