Vertex form:
y = a(x - h)² + k
I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:
Y = (x - 4)² - 19
I believe so :/
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let
= <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
Answer:
3x
x
+
2
x
−
(5)(8)x
x
+2
=
−35x+2
x
Step-by-step explanation:
Answer:
147°
Step-by-step explanation:
The measure of arc CH is equal to the central angle it sees
the angles arc AH sees are BAC and CAH so the length of arc AH would be the sum of these two angles
90° + 57° = 147°