Which property could be used to find the missing number?

This recipe makes three portions of soup.

Karolina [17]

Answer:

50 g onions

30 g carrots

1 tablespoon of oil

200 g tomatoes

300 ml vegetable stock

Step-by-step explanation:

Divide all the quantities by 3

150/3 g onions

90/3 g carrots

3/3 tablespoons of oil

600/3 g tomatoes

900/3 ml vegetable stock

For one portion:

50 g onions

30 g carrots

1 tablespoon of oil

200 g tomatoes

300 ml vegetable stock

7 0

3 years ago

Explanation of Baye's theorem.

ELEN [110]

I will be including both an basic explanation of what it is and its proof.

I'm guessing you are either learning about conditional probability at school or preparing for competitions.

Baye's theorem states:

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

That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.

That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.

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

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

Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.

Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.

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

**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.

If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!

6 0

3 years ago

Help me with this question

soldi70 [24.7K]

Radius=4.2m

$\\ \bull\tt\dashrightarrow Diameter=2(Radius)$

$\\ \bull\tt\dashrightarrow Diameter=2(4.2)$

$\\ \bull\tt\dashrightarrow Diameter=8.2m$

3 0

3 years ago

Read 2 more answers

Hawaii 0.288% = what fraction

Sindrei [870]

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125

Step-by-step explanation:

Step 1: 0.288 = 288⁄1000

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",

<em>Or for the lowest term:</em>

Therefore 0.288% can be written as

0.288

100

.

Next, we can multiply by

1

in the form of

1000

to eliminate the decimal in the numerator:

1000

×

0.288

100

⇒

1000

×

0.288

1000

×

100

⇒

288

100000

.

We can now reduce the fraction as:

288

100000

⇒

32

×

9

32

×

3125

⇒

32

×

9

32

×

3125

⇒

9

3125

.

4 0

2 years ago

Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o

AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that $\mu = 490, \sigma = \sqrt{400} = 20$