Math test , if 9 = 90 , 8 = 72 , 7 = 56 , 6 = 42 , 3 = ?
2 answers:
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Answer:
a. X~N(2,885, 651)
b. 0.086291
c. 0.00058
d. 3213.10 calories
Step-by-step explanation:
a. -A normal distribution is expressed in the form X~N(mean, standard deviation).
-Let X a random variable denoting the number of calories consumed.
-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.
-This distribution is expressed as X~N(2,885, 651)
b. The probability that less than 2000 calories are consumed is calculated using the formula:
#substitute the given values in the formula to solve for P:
Hence, the probability of consuming less than 2000 calories is 0.08691
c. The proportion of customers consuming more than 5000 calories is calculated as:
Hence, the proportion of customers consuming over 5000 calories is 0.00058
d. The least amount of calories to get the award is calculated as:
1% is equivalent to a z value of 0.50399.
-We equate this to the formula to solve for the mean consumption:
Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.
<em><u>The expressions that are polynomial are:</u></em>
6 + w
z + 1
<em><u>Solution:</u></em>
A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
1) 6 + w
Here "w" is a variable, hence it is a polynomial expression
This is a polynomial, since it has variables and coefficients and variable with non negative exponent
3) z + 1
This is also a polynomial with variable "z" and has addition operation
Since it has root so it is not a polynomial