Answer:
IQR = 22
Step-by-step explanation:
IQR Formula:
IQR = Q3 - Q1
In order you find Q3 and Q1, please follow these steps:
1. First, you need to order the list of numbers from least to greatest:
2, 6, 9, 10, 16, 28, 33
2. Then, you need to find the median, or the middle number.
2, 6, 9, 10, 16, 28, 33
3. In order to find IQR, you must find the first and third quartiles.
2, 6, 9, 10, 16, 28, 33
Q1 = 6
Q3 = 28
This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.
Now since you have Q1 and Q3, you follow the formula.
28 - 6 = 22
IQR = 22
There are 12 inches in a foot. When you convert 12 into millimeters, it becomes 304.8.
Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
Answer:

Step-by-step explanation:
To solve this problem we need to write the mixed fraction as a fractional number, as follows:


Then, evaluating the expression:
×
=
= 