A store that sells snowboards was selling them for $150. When winter was over, the store marked them down at a rate is 45%. Mrs.
1 answer:
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Answer:
The angle must be at 3.81°
Step-by-step explanation:
The horizontal distance of the shooting range is 60 yards
The height of the target is 12ft.
We'll have to convert the value of the height from ft to yards.
1 yards = 3 foot
X yards = 12ft
X = 4yards.
The height of the target is 4 yards.
Now, to find the angle at which the shooter makes with the zenith of the target(height), we'll have to use use SOHCAHTOA
To know which of the rules we'll follow, a pictorial illustration of the values will help
(See attached document for better illustration).
From the diagram, we can see we have values at both opposite and adjacent.
Opposite = 4
Adjacent = 60
Hence we can use Tanθ = opposite/ adjacent
Tanθ = 4 / 60
Tanθ = 0.067
θ = Tan⁻0.067
θ = 3.81°
The angle at which the rifle must be set to hit the target is 3.81°
Answer:
C. 0.896
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the probability that at least seventy percent of the sample prefers Coke to Pepsi?
0.7*80 = 56.
This probability is 1 subtracted by the pvalue of Z when X = 56. So
has a pvalue of 0.1040.
1 - 0.1040 = 0.8960
So the correct answer is:
C. 0.896