1. Substitute the function f(x) into x in g(x)
2. Simply your results in 1. now you have (g o f)(x)
3. Now substitute 6 into your results in 2 to get (g o f)(6)
Answer:
a. Describing a sample with mean and standard deviation.
Step-by-step explanation:
Statistics can be categorized into descriptive and inferential statistics.
descriptive statistics uses data for descriptions through numerical analysis. It can be further divided in four parts.
- Measures of Central Tendency ( Mean, Median, and Mode)
- Measures of Frequency (Count, Percent, Frequency)
- Measures of Position (Percentile Ranks, Quartile Ranks.)
- Measures of Dispersion ( Range, Standard Deviation)
Inferential statistics however is based on assumptions and conclusions and generalizations drawn from samples or checks.
options b to d are all examples of inferential statistics while option a is an example of descriptive statistics.
9514 1404 393
Answer:
P = 50,000
r = 0.08
i = 0.02
K = 4
n = 20
t = 5
Step-by-step explanation:
In this formula, r is the annual interest rate, 8% or 0.08. K is the number of times the interest is compounded in a year. Since interest is compounded quarterly, K = 4.
r = 0.08
i = r/K = 0.08/4
i = 0.02
t is the number of years interest is compounded, so ...
t = 5
n = Kt = 4·5
n = 20
P is the principal amount invested:
P = 50,000
- Let the smaller number be x and the bigger number be y.
- Therefore, 3x = 2y
- Therefore, the smaller number = 30 - 18 = 12
<u>Answers:</u>
<u>Answers:The smaller number is 12.</u>
<u>Answers:The smaller number is 12.The bigger number is 18.</u>
Hope you could understand.
If you have any query, feel free to ask
Answer:
x=27°
Step-by-step explanation:
we know that
<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles
step 1
Find the measure of angle PLM
we know that
m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem
we have
m∠LPM=x°
m∠PMN=2x+72°
substitute
m∠PLM+x=2x+72°
m∠PLM=2x-x+72°
m∠PLM=x+72°
step 2
Find the measure of angle x
we know that
3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)
we have
m∠PLM=x+72° (see step 1)
substitute
3x+x+72°=180°
4x=180°-72°
4x=108°
x=27°
