Answer:
The estimated average electric cost amount of all residents in Las Cruces = 182.9
Step-by-step explanation:
The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be
135 265 215 103 156 203 125 156 230 241
Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.
This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.
Sample mean ≈ Population mean
μₓ = μ
Mean = = (Σx)/N
The mean is the sum of variables divided by the number of variables
x = each variable
N = Sample size = 10
Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829
Sample mean = (1,829/10) = 182.9
Population mean ≈ sample mean
Population mean ≈ 182.9
Hope this Helps!!!
3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π , k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π , k ∈ Z
<u><em>The law illustrated is Distributive Law</em></u>
This question is under a topic called algebra laws.
The laws are;
- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.
- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.
- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.
We are told in the question that ; 5n x 1 = 5n
This means that 5n and 1 are factors of 5n and this corresponds to distributive law
Read more at; brainly.in/question/39479409?tbs_match=1
yards/costumes:16/(5/2) = X/(19/2)
Cross multiply.
(5/2)x = 152
Multiply both sides by 2/5.
x = 101 1/3 yards
The "relative frequency" is
(number of times a blue marble came out)
divided by
(total number of trials before everybody got bored and quit) .
-- The relative frequency of blue was (20/60) = (33 and 1/3) % .
(Even though 38.5% of the marbles in the jar are blue,
they didn't get picked that often.)
-- The relative frequency of green was (18/60) = 30 % .
(Even though only 26.9% of the marbles in the jar are green,
they got picked more often than that.)
-- The relative frequency of red was (22/60) = (36 and 2/3) % .
(Even though 42.3% of the marbles in the jar are red,
they didn't get picked that often.)
