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3 years ago

7

Wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcak

es. How much more flower per shortcake is needed for Cora’s recipe?

1 answer:

ruslelena [56]3 years ago

6 0

The number of cups of flour per shortcake in Wyatt's recipe is given by

$\frac{3.15}{9} =0.35$

The number of cups of flour per shortcake in Cora's recipe is given by

$\frac{2.4}{8} =0.3$

The number of more cups of flour needed by Cora is given by 0.35 - 0.3 = 0.05 cups.

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Please help me with this problem...

sesenic [268]

.03*.03=.009 .009*.03=.000027 so the answer is .000027

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3 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

Or

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

3 years ago

LOTS OF POINTS FOR HELLLP

lara31 [8.8K]

Answer:

y = 3x+9

Step-by-step explanation:

We can use the slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y = 3x +b

Substitute the point into the equation

6 = 3(-1) +b

6 = -3+b

Add 3 to each side

6+3 = -3+3+b

9 = b

y = 3x+9

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2 years ago

Read 2 more answers

20 POINTS AND BRAINLIEST!

Advocard [28]

Answer:

<A =21

<B = 84

<c = 75

Step-by-step explanation:

<A =x

<B = 4x

<C =5x-30

The sum of A+B+C = 180

x+ 4x + 5x-30 = 180

Combine like terms

10x -30 = 180

Add 30 to each side

10x-30+30 = 180+30

10x = 210

Divide by 10

10x/10 = 210/10

x= 21

Since x =21 we can find the value of the angles

Substituting x into the equations for angles A, B and C

<A =21

<B = 4x = 4*21 = 84

<C = 5x-30 = 5*21-30 = 105-30 = 75

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2 years ago

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kirza4 [7]

Answer:

32y^2-32

Step-by-step explanation:

4y^2+4(7y^2-8)

4y^2+28y^2-32

32y^2-32

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3 years ago