Answer:
112
Step-by-step explanation:
3(7-3) = 3 x 4 = 12
12^2 = 144
144 -4(6+2)
144-4(8)
144-32
112
Answer:

Step-by-step explanation:
<u>Factored form of a parabola</u>

where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
Therefore:


To find a, substitute the given point (4, 8) into the equation and solve for a:




Therefore, the equation of the parabola in factored form is:

Expand so that the equation is in standard form:




Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,

So,

= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
1 / 5^-2
First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.
Now we have 1 / (1/25).
1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25
The answer is 25!
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Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time =
hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in
hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is
feet.
Therefore, the correct option is D.