Answer:
jack was incorrect
Step-by-step explanation:
this is because -15 is more negatives then -10. (this is one way to look at it) the correct answer is: -10 > -15
Answer:

Step-by-step explanation:
Given y(3, 1), z(0, 4)
-The ordered pair is written by summing their corresponding coordanates as below:

-We then calculate the magnitude of this ordered pair as following:

Hence, the magnitude of the ordered pair is 
$24 times 10 is $240 and $6 times 100 is $600 so 240+$600 is $840 then $840 devided by 4 is $210.
The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).
<h3>What is the factored form of an equation that has the zeros or roots 4 and -7?</h3>
Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots
Given the roots of the equation;
Now, at x = 4,
x = 4
x - 4 = 0
y = ( x - 4)
Also, at x = -7,
x = -7
x - ( - 7 ) = 0
x + 7 = 0
y = ( x + 7 )
Hence; for the equation with the given roots; 4 and -7 will be;
y = ( x - 4)( x + 7 ).
The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).
Learn more about roots of quadratic equation here: brainly.com/question/26926523
#SPJ1
Complete Question
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is
The confidence level is
%
Given that the confidence level is 95% the level of significance is mathematically represented as

%

Next we obtain the critical value of
from the normal distribution table , the values is 
The reason we are obtaining critical values of

instead of

is because

represents the area under the normal curve where the confidence level interval (

) did not cover which include both the left and right tail while

is just the area of one tail which what we required to calculate the sample size
Now the sample size is mathematically represented as
![n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5Cfrac%7B%5BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%5D%20%5E2%20%2A%20%20%5Csigma%20%5E2%7D%7BMOE%5E2%7D)
substituting values

