Evaluate the expression when x = 32 and y = 2 x/4y a. 1/16 b. 16/21 c. 2 d. 4
2 answers:
Answer:
d.4
Step-by-step explanation:
We are given that an expression
We have to evaluate the value of the expression when x=32 and y=2
To find the value of the expression we will substitute the value of x and y in the given expression.
Substitute x=32 and y=2 in the expression
Then, we get
Therefore, the value of the expression =4
Hence, option d is true.
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Answer:
a. Mean: 9.5.
Standard deviation: 2.18.
b. The critical value for signficantly low girl births is 5.14.
The critical value for signficantly high girl births is 13.86.
Step-by-step explanation:
a) If we take a sample of 19 births, all with individual probability of 0.5, we have a random binomial variable with n=19 and p=0.5.
This random variable will have mean and standard deviation calculated as:
b) Range rule of thumb: The standard deviation is approximately a quarter of the range, difference between the maximum and minimum value.
The range rule of thumb tells us that the expected minimum and maximum value are 2 standards deviation below or above, respectively, from the mean.
Then, the extreme expected values are:
The critical value for signficantly low girl births is 5.14.
The critical value for signficantly high girl births is 13.86.
Given:
Gracie is sharing 75 marshminnows among 4 of her friends.
Each of her friends gets the same number of marshminnows, and she gives them as many marshminnows as possible.
To find:
The remaining number of marshminnows she has.
Solution:
We have,
Total number of marshminnows = 75
Number of friends = 4
Divide 75 by 4.
Here, quotient is 18 and remainder is 3. It means, each friend can be get maximum 18 marshminnows and the number of remaining marshminnows is 3.
Therefore, the correct option is B.
Answer:
D. Coefficient of Correlation
Step-by-step explanation:
The name itself "Coefficient of Correlation" involves the word correlation, meaning relationship between two things.
The coefficient of Correlation is used to determine how strong a relationship is between two variables.
The formula of Coefficient of Correlation gives a value between -1 and 1. Moreover, it helps to plot a graph showing the strength of relationship.
1 : A strong positive relationship
-1: A Strong negative relationship
0: No relationship at all
One of the most used formula is Pearson Correlation Coefficient Formula, picture of which is attached. X and Y represent two different set of datas.
<u>Note: </u>
The other terms are defined as :
Coefficient of Determination : Square of correlation between predicted scores and actual scores. It usually ranges from 0 to 1 .
Standard deviation of estimate : represents the amount of variation among a set of values .
Standard Error of estimate : It is the measure of dispersion of sample means around population means.
