Answer:
-12
Step-by-step explanation:
f
(
x)
=
2
x
2
+
8
x
Find f(−1)
replace x by its value which is -1
so:
f
(
x)
= 2
x
2
+
8
x
f
(
-1)
= 2 (-1)*2
+
8
(-1)
f(-1)= -2*2 + (-8)
f(-1)= -4 -8
f(-1)= -12
Answer:
Answers will vary but might address the following:
garbage disposal and recycling
sex education in schools
nutritious food supply in schools
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
Answer:
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
The graph of the line is figure d
Step-by-step explanation:
∵ y = 3x
∵ x = -1, 0, 1
→ Substitute the values of x in the equation to find the values of y
∴ y = 3(-1) = -3
∴ y = 3(0) = 0
∴ y = 3(1) = 3
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
∵ The form of the linear equation is y = m x + b, where
∵ y = 3x
→ Compare the equation with the form
∴ m = 3
∴ b = 0
→ That means the slope is positive, then the direction of the line must
be from left tp right and passes through the origin
∴ The graph of the line is figure d
Answer:
- b
- f
- e
- c
- h
- d
- g
- a
Step-by-step explanation:
< or > will give you an open dot which means it is not filled in.
≤ or ≥ will give you a closed dot which means it is filled in.
So for example number one:
x > 0 translated is x is greater than zero.
So look on the number line for an open dot on zero going toward the left (the side where the numbers get smaller). The rest are self explanatory.
