Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
Let the number of eggs Ryo actually needs be represented by the letter "x".
Then the number of eggs Ryo ordered was
of that amount. This can be represented as:

Now, to find what fraction of the number of eggs Ryo actually needs in his restaurant, all that we need to do is divide the actual number of eggs, which is "x", by the amount of eggs Ryo actually accidentally ordered which is
.
Thus, we get:
Fraction=
Thus,
is the required answer.
Answer:
30
Step-by-step explanation:
You use the equation 180(n-2) to find the interior angle and 360/n to find the exterior angle
360/12 divide 360 by the number of sides
30
Answer:
(a) 0.85
(b) 0.7225
Step-by-step explanation:
(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

The proportion is 0.85.
(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

An estimate of 0.7225 for the proportion of all such systems that will function properly.
Answer:
67/100
Step-by-step explanation:
67÷100 Divide the numbers
0.67 then move the decimal point to the right
6.7 *10 this will give you the fraction