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borishaifa [10]
3 years ago
10

PLEASE HELP I WILL MARK YOU BRAINLIEST Carleen and Dianaliz are collecting rocks for a science experiment. They go out hiking fo

r two weekends in a row! The first weekend the girls collected 312 pounds of rocks on Saturday and 234 pounds of rocks on Sunday. The next weekend the girls collected 615 pounds of rocks on Saturday and 113 pounds of rocks on Sunday. How many more pounds of rocks were collected for their experiment during their second weekend of hiking compared to their first weekend of hiking?*
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

The girls collected 182 pounds of rocks more the second weekend of hiking compared to the first weekend of hiking.

Step-by-step explanation:

312 + 234 = 546

615 + 113 = 728

728 - 546 = 182

182 lbs

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Step-by-step explanation:

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Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

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

In which

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In this problem:

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The percentages associated with getting the flu are:

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Hence:

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The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

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3 years ago
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yawa3891 [41]

Step-by-step explanation:

<u>Method</u><u> </u><u>1</u><u>:</u>

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

<u>Method</u><u> </u><u>2</u><u>:</u>

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

<u>Ans</u><u>w</u><u>er:</u> Hence the value of (?) for the given problem is 42.9.

<u>Verification</u><u>:</u>

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

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2 years ago
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