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3 years ago

The ratio of Illinois students to Michigan students was 6:5. How many students were from Michigan?

Mathematics

1 answer:

leva [86]3 years ago

7 0

We would need to know how many students are in the class to properly answer the question.

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How many ways can we pick three distinct integers from {1, 2, ..., 15} such that their sum is divisible by 3?

gogolik [260]

Answer:

Clearly from 1 to 15 we can only have the sum 6,9,12 and 15 to be divisible by 3.

Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .

We have 24 ways to pick distinct integers that are divisible by 3.

Step-by-step explanation:

The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial

5 0

3 years ago

Kenny is a professional bass fisherman. To get the best fishing spot in a tournament, he has to drive really fast. The best fish

Troyanec [42]

It would take 24 mins to drive 28 miles going 70mph

5 0

3 years ago

A cylinder has a total volume of 678.59 and a height of 6m. what is the diameter of the cylinder? please help and show work

RoseWind [281]

Volume =
$\pi {r}^{2} h$
$r = \sqrt{678.59 \div 6}$
multiply r by 2 and you will get diameter

7 0

3 years ago

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5

Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%

⇒ P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%

⇒ P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%

⇒ P(A∪ C) = 17/100 = 0.17

Now, we know that:

Now, here substituting the values, we get:

P(A∪ C) = P(A) + P(C) - P(A ∩ C )

⇒ 0. 17 = 0.12 + P(C) - 0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0

3 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

3 years ago