Answer:
f(x) = 
Step-by-step explanation:
The given options are,
a) f(x) =
b) f(x) = 
c) f(x) = 
d) f(x) = 
Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,
1. f(x) → 0 as x → - ∞ and
2 f(0) = 1
so, the correct answer is,
f(x) =
7/8 Because there are (7 marbles that are not 8 / 8 possibilities).
Answer:
B)Only one graph intersects the y-axis above y=0
Step-by-step explanation:
Both functions are in y=mx+b. The y-intercept is b.
f(x) has the y-intercept 3. It intersects above y=0.
g(x) has the y-intercept -4. It intersects below y=0.
This means B is correct.
Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.
Let x = random test value
We want to determine P(x>4).
Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667
From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0
Answer: The probability is 0.
Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft
