450 >_ 750 - 70x

450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)

at least 5 people have to get off

hope this helped!

3 0

3 years ago

Bad gums may mean a bad heart. Researchers discovered that 80% of people who have su ered a heart attack had periodontal disease

saul85 [17]

Answer:

0.069 = 6.9% probability that he or she will have a heart attack

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: Does not have periodontal disease

Event B: Has a heart attack.

Probability of not having a periodontal disease:

100 - 80 = 20% of 10%(had a heart attack).

30% of 100-10 = 90%(did not have a heart attack). So

$P(A) = 0.2*0.1 + 0.3*0.9 = 0.29$

Intersection of A and B:

Not having the disease, suffering a heart attack, so 20% of 10%.

$P(A cap B) = 0.2*0.1 = 0.02$

What is the probability that he or she will have a heart attack?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.29} = 0.069$

0.069 = 6.9% probability that he or she will have a heart attack

6 0

3 years ago

Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di

forsale [732]

Answer:

$y=(x-4)(x-2)$

Step-by-step explanation:

Consider the given equation

$y=x^2-6x+8$

Factor form of a parabola: It displays the x-intercepts.

$y=a(x-p)(x-q)$ .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

$y=x^2-4x-2x+8$

$y=x(x-4)-2(x-4)$

$y=(x-4)(x-2)$ .... (2)

On comparing (1) and (2) we get

$p=4,q=2$

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

3 0

3 years ago

How do you solve 418.6 divided by 80.5 using long division

nataly862011 [7]

You would write the 80.5 on the outside 418.6 on the inside. You can't divide by a decimal so you have to move the decimal point as many times as you need to on the outside number. You only have to move it over once in the80.5 so it is now 805. You do the same thing to the inside so it it is 4186. You are now dividing 4186 by 805. The answer is 5.2

3 0

3 years ago