Answer:
42.22% probability that the weight is between 31 and 35 pounds
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

What is the probability that the weight is between 31 and 35 pounds
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So
X = 35



has a pvalue of 0.5557
X = 31



has a pvalue of 0.1335
0.5557 - 0.1335 = 0.4222
42.22% probability that the weight is between 31 and 35 pounds
Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
<h3>What are polynomial?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).
Therefore, the solution of the polynomial is,

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
Learn more about Polynomial:
brainly.com/question/17822016
Answer:
Step 1: Simplify both sides of the equation.
−7f=12
Step 2: Divide both sides by -7.
−7f
−7
=
12
−7
f=
−12
7
Step-by-step explanation
sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(
Answer:
$32.25
Step-by-step explanation:
$53.75 ÷ 5 = $10.75
$10.75 × 3 = $32.25
It is the answer D, because 9 it’s in all answers