Answer:
The answer should be $7,087.50
Step-by-step explanation:
4.50 x 50 = 225
225 x 1.05 = 236.25
236.25 x 30 = 7087.50
Answer:
Pr(X-Y ≤ 44.2) = 0.5593
Step-by-step explanation:
for a certain breed of terrier
Mean(μ) = 72cm
Standard deviation (σ) = 10cm
n = 64
For a certain breed of poodle
Mean(μ) = 28cm
Standard deviation (σ) = 5cm
n = 100
Let X be the random variable for the height of a certain breed of terrier
Let Y be the random variable for the height of a certain breed of poodle
μx - μy = 72 -28
= 44
σx - σy = √(σx^2/nx + σy^2/ny)
= √10^2/64 + 5^2/100
= √100/64 + 25/100
= √ 1.8125
= 1.346
Using normal distribution,
Z= (X-Y- μx-y) / σx-y
Z= (44.2 - 44) / 1.346
Z= 0.2/1.346
Z= 0.1486
From the Z table, Z = 0.149 = 0.0593
Φ(z) = 0 0593
The probability that the difference of the observed sample mean is at most 44.3 is Pr(Z ≤ 44.2)
Recall that if Z is positive,
Pr(Z≤a) = 0.5 + Φ(z)
Pr(Z ≤ 44.2) = 0.5 + 0.0593
= 0.5593
Therefore,
Pr(X-Y ≤ 44.2) = 0.5593
T<span>he area of a figure is the measure of the extent of a two dimensional figure which is usually measured as the square units of the dimensions of the figure.
For example, given a figure with dimensions, say k, the area of the figure is given by

.
</span>
<span>Given that o<span>ne
similar figure has an area that is nine times the area of another.
Since the two figures are similar, it means that there areas will be proportional as their dimensions will be proportional.
Let the dimensions of the smaller figure be k and the larger figure is p times the smaller figure. Then the area of the smaller figure is

and the area of the larger figure is

.
Now, given that the area of the larger figure is nine times the area of the smaller figure, this means that:

</span>
Therefore, the
larger figure must have dimensions that are 3 times the dimensions of the
smaller figure.</span>
Answer:
The experiment design used in this case is the between-subjected design.
Step-by-step explanation:
Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.
In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.
Then after two weeks period they measured how successful the species were in each ecosystem.
The experiment design used in this case is the between-subjected design.