Evaluate the numerical expression (32-20)÷4

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

In PEMDAS you do parentheses first

(32-20) equals 12

Now you divide
12/4 equals 3

The answer is 3

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Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start w

Tasya [4]

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that $P(A) = 0.2$

50% of rainy days start with rain clouds in the air

50% of 10%. So

$P(A \cap B) = 0.5*0.1 = 0.05$

What is the probability that it will rain today and ruin your picnic

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25$

0.25 = 25% probability that it will rain today and ruin your picnic

3 0

2 years ago

Can someone please explain how the answer is D

Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

${c}^{2} = {a}^{2} + {b}^{2}$

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

$x = |sx - tx| \\ y = |sy - ty|$

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

${c}^{2} = {x}^{2} + {y}^{2} \\ {c}^{2} = {8}^{2} + {17}^{2} = 64 + 289 \\ {c}^{2} = 353 \\ c = \sqrt{353}$