Answer:
(A)
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:
The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
Regular Hexagon ABCDEF rotates 240' counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and
2 answers:
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Answer:
The correct option is d.
Step-by-step explanation:
It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.
Formula of simple interest:
Where P is principal amount, r is rate of interest in percentage and t is time in years.
The interest paid by Zack is $1,087.
The total amount of money he will repay is
Therefore option d is correct.
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
Answer:
0% probability that at least 1,500 will agree to respond
Step-by-step explanation:
I am going to 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 1,500 will agree to respond
This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So
has a pvalue of 1.
1 - 1 = 0
0% probability that at least 1,500 will agree to respond
Answer:
y = 12x + 9 is the answer.
Step-by-step explanation:
Since the given equation is 2x + 12 y = -1
12y = -2x -1
Now this line is in the form of y = mx + c
Here m = slope = -1/12
We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).
Let the equation is y = m' + c'
We know m×m' = -1 for two perpendicular lines
m' = 12
Therefore the equation will be
y = 12x + c'
Since this line passes through ( 0, 9)
9 = 12×0 + c'
c' = 9
Now the equation will be
y = 12x + 9
This is the answer.