Could anyone help me decipher this alien language????

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

OPTION A: $\frac{11}{20}$

Step-by-step explanation:

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

$P(not B) = 1 - P(B) = 1 - \frac{13}{20} = \frac{7}{20}$

$\implies P(A \cap B)= P(A | B) \times P(B)$

$= \frac{11}{20} \times \frac{7}{20}$

Let us keep it without multiplying for easy simplification later.

Also, let us assume A and B are independent events.

$P(A \cap B) = P(A) \times P(B)$

$\implies \frac{11}{20} \times \frac{7}{20} = P(A) \times \frac{7}{20}$

$\implies P(A) = \frac{11}{20}$

Hence, OPTION A 11/20 is the answer.

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Y=1/2×-6 ×=-4 what is the solution to the system of equations

hodyreva [135]

Answer:

(-4, -8)

Step-by-step explanation:

Use the substitution method. x = -4, so y = (1/2)x - 6 becomes:

y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.

The solution is (-4, -8).

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9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$