Ten years ago, the population at Lincoln High School was about 2,000 students. Since then, the population has increased by 25%.

Mathematics

1 answer:

gavmur [86]4 years ago

5 0

Answer:

2,500 students

Step-by-step explanation:

If the population has increased by 25%, the total population of the school is now 125% of what it used to be. Then to figure it out, you find out 125% of 2000 which is 2,500 students!

(Hope that helps :):):)

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A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the sec

andrezito [222]

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that $P(A) = 0.67$

The probability she passes the second course is 0.7.

This means that $P(B) = 0.7$

The probability she passes at least one of the courses is 0.79.

This means that $P(A \cup B) = 0.79$

a. What is the probability she passes both courses

This is $P(A \cap B)$ .

We use the following relation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58$

0.58 = 58% probability she passes both courses

5 0

3 years ago

What is the directrix of the parabola defined by (x + 3)2 = -20(y − 1)?

Aleks [24]

We have that

(x + 3)² = -20(y − 1)
This is actually the vertex form, so we can obtain the vertex already
the vertex is the point (h,k)------------> (-3,1)

4p=-20------------> p=-5
Focus is at (-3,1-5)---------> (-3,-4)
Directrix is at y = 1-(-5)----------> y=6

the answer is
the directrix is y=6

see the attached figure