When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:



Calculate the total number of beads used for all three designs



The number of available beads is:

Divide 750 by 83, to get the total number of designs


Remove decimal (do not approximate)

The number of beads remaining is calculated using:



Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536
The right answer for the question that is being asked and shown above is that: "Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis." The description best describes the solution to the system of equations is that <span>Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis</span>
Answer:
x=2 and y=36
Step-by-step explanation:
you have two equations
1) xy=72 and 2) (x+2)(y-4)=128
solve for one of the variables in equation 2), lets do y
(x+2)(y-4)=128, divide by (x+2) to both sides and add 4 to isolate variable y
therefore, y=(128/(x+2))+4
then plug in y into equation 1)
so x(our new y)=72
x( 128/(x+2) +4 )=72
distribute the x so you will get
(128/(x+2))x +4x=72
we are now solving for x, so isolate the x by subtracting 4x and multiplying by (x+2) to get
128x=(x+2)(72-4x)
multiply by distribution and combine like terms
-4x^2 -64x +144 =0
solve for x by quadratic formula, you'll get x=2 or x=-18
substitute back into equation 1), (2)(y)=72, solve for y to get 36
then you can check by substituting back into equation 2)
(2+2)(36-4)=128
(4)(32)=128, 128=128
That's not an equation, and it doesn't ask any question. As it stands, there's nothing to "solve".
You may have been given an assignment to "simplify" it ... make it prettier and less complicated.
In order to do that, let's pretend for a moment that you're asked to add up a list that says:
4 chickens + 6 cows + 5 cows + 6 cows
I'm convinced that you would have no trouble at all adding up this list. You would
know right away that you can add up all the cows into one number, but you can't
add cows to chickens. You would simplify the list,and it would become <em>
4 chickens + 17 cows</em>.
And now that you understand that, you're all ready to simplify the expression
in your question. Just add up all the 'y's into a single number, but you can't
add 'y's to 'x's.
When you're done, you have 4x + 17y, and you're done. That's all you can do with it.
Answer:
Step-by-step explanation:
Given that:
A simple random sample n = 28
sample standard deviation S = 12.65
standard deviation
= 11.53
Level of significance ∝ = 0.05
The objective is to test the claim that the number of pieces in a set has a standard deviation different from 11.53.
The null hypothesis and the alternative hypothesis can be computed as follows:
Null hypothesis:

Alternative hypothesis:

The test statistics can be determined by using the following formula in order to test if the claim is statistically significant or not.







From the chi-square probabilities table at 0.975 and degree of freedom 27;
= 14.573


From the chi-square probabilities table at 0.975 and degree of freedom 27;
43.195
Decision Rule: To reject the null hypothesis if
; otherwise , do not reject the null hypothesis:
The rejection region is 
Conclusion:
We fail to reject the null hypothesis since test statistic value 32.5002125 lies between 14.573 and 43.195.