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3 years ago

HELLO HELP ME PLEASE IT'S REALLY URGENT!!!!!!! TT

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

The most logical answer is C, if you multiply the hours by the wages and then subtract the expenses you will reach C.

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(09.01) A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsiu

lukranit [14]

Answer:

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

Given the graph:

$y = -2x^2+20x+400$

Substitute y = 0 we have;

$-2x^2+20x+400 = 0$

⇒ $-2(x^2-10x-200) = 0$

⇒ $x^2-10x-200 =0$

⇒ $x^2-20x+10x-200 =0$

⇒ $x(x-20)+10(x-20)=0$

⇒ $(x-20)(x+10)=0$

By zero product property we have;

x-20 =0 and x+10 = 0

⇒x = 20 and x = -10

Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.

6 0

3 years ago

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A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a committee, what is the proba

Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

If four people are chosen at random to be on a committee, what is the probability that at least one person from each political party will be chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

Desired outcomes:

Only Democrats:

4 from a set of 25.

Only Republican:

4 from a set of 21.

$D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635$