Lucrecia is saving up money to buy a birthday present for her best friend. She has saved up 16% of the $40 she needs. How much m
1 answer:
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Answer:
Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:
Using this function in a calculator (you may find it as: ), we have that:
So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:
So the values of x are:
Answer: 0.0971
Step-by-step explanation:
Given : Sample size :
The percent of people are afraid of flying
Thus the proportion of people are afraid of flying
We know that the formula to find the standard deviation of the distribution of sample proportions is given by :-
Hence, the standard deviation of the distribution of sample proportions = 0.0971
Complete question :
Picture relating to the question is attached below.
Answer:
1 / 3
Step-by-step explanation:
The Theoretical probability of an event is defined as :
P(event) = required outcome / Total possible outcomes
Based on the picture of the attached spinner below :
P(red) :
Required outcome = number of red partitions = 2
Total possible outcomes = total Number of partitions = 6
Hence,
P(Red) = 2 / 6 = 1/3
