Answer:
a:false
b:true
c:true
Step-by-step explanation:
a:the sum of all the probabilities in the distribution must be equal to one.
My apologies if any are wrong.
Answer:
Step-by-step explanation:
Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:

Hit the 2nd button on your calculator then the tan button which displays:

Enter 5/7 after that open parenthesis and hit = to get that
A = 35.54°
It helps you know what to multiply and the product when you subtracting and adding fractions.
Answer:
c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.
Step-by-step explanation:
(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.
(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.
(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.
(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.
Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.
So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

Next, now that we have the value of y, substitute it into either equation to solve for x:

<u>And this is how you get your final answer (5,2).</u>