Answer:
y = (x - 2)(x + 4)(x - 1)
Step-by-step explanation:
Given the zeros of a function say x = a and x = b, then
The factors are (x - a) and (x - b) and
y = (x - a)(x - b)
Given the zeros are x = 2, x = - 4, x = 1, then
the factors are (x - 2), (x - (- 4)) and (x - 1), that is
(x - 2), (x + 4), (x - 1) , thus
y = (x - 2)(x + 4)(x - 1)
<u>Given Equation</u>:-
- 5x+y=17 . . . . . . . . 1
- x+y=3 . . . . . . . . . . 2
<u>To find</u> :
<u>Solution</u> :
<u>Let's start with equation 2</u>:-
x + y = 3
y = 3 - x
Put the value of y in Equation 1
- 5x+y=17
- 5x + (3 - x) = 17
- 5x - x + 3 = 17
- 4x + 3 = 17
- 4x = 17 - 3
- 4x = 14
- x = 14/4
- x = 7/2
- x = <em>3.5</em>
<u>Now Let's find value of y</u><u>:</u>
put the value of x in equation 2:
y = 3 - x
y = 3 - 3.5
y = <em>0.5</em>
The answers are A, B, and D.
The given information is that Tomas needs 6 potatoes to make 12 potato pancakes. Thus, we can assume it takes 1 potato to make 2 potato pancakes.
An answer choice must have two times more pancakes than potatoes. Only A, B, and D satisfy this. The others can be confusing if the multiplication is not executed properly.
Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
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 a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So
has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
