Answer:
B) f(x) = 3x² - 2x + 5
Step-by-step explanation:
To find the correct quadratic function that represents the table, you must substitute [x] into the quadratic function.
A) f(x) = 3x² + 2x - 5
B) f(x) = 3x² - 2x + 5
C) f(x) = 2x² + 3x - 5
D) f(x) = 2x² - 2x + 5
A. 3(-2)² + 2(-2) - 5 =
3(4) - 4 - 5
12 - 4 - 5
12 - 9
= 3
B. 3(-2)² - 2(-2) + 5 =
3(4) + 4 + 5
12 + 9
= 21
C. 2(-2)² + 3(-2) -5 =
2(4) - 6 - 5
8 - 11
= - 3
D. 2(-2)² + 2(-2) + 5 =
2(4) - 4 + 5
8 - 4 + 5
8 + 1
= 9
Your correct answer is: B
Answer:
The probability that the sample proportion will be less than 0.05 is 0.80511.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.
Suppose the true proportion is 0.04 and 349 are sampled.
<u><em>Let </em></u>
<u><em> = sample proportion</em></u>
The z score probability distribution for sample proportion is given by;
Z =
~ N(0,1)
where,
= sample proportion
n = sample size = 349
p = population proportion = 0.04
Now, the probability that the sample proportion will be less than 0.05 is given by = P(
< 0.05)
P(
< 0.05) = P(
<
) = P(Z < 0.86) = 0.80511
<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>
Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.
Answer:
-15
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given



Solving (a):
Ratio of Raisins to Pretzels

Divide 2 and 4 by 2


Solving (b):
Ratio of Almonds to Raisins

Divide 2 and 6 by 2


Answer:
so the answer would be 10b