<u>Answer:4.75</u>
<u>Since we don't have a total cost we will write an equation that will allow us to find the cost of x. The equation is 4x= 2x + $3 + $3.75 + $2.75. Now that we have our equation we are going to start by adding 3, 3.75, and 2.75. When added together, they come out with a total of 9.5. Now the equation becomes 4x= 2x + $9.50. Since we have our new equation we are going to subtract 2x from both sides of the equation. We now have the equation 2x= $9.50. Finally, you will divide both sides by 2. This leaves us with the final outcome x= $4.75. This means that one glues stick cost $4.75. Let's check by substituting $4.75 as the value of x in the expressions 4x is Carlo's total and 2x + $3 + $3.75 + $2.75 is Helen's total. First we do 4x, 4 multiplied by 4.75 equals 19, so Carlo spent $19 on art supplies. Now we do 2x + $3 + $3.75 + $2.75, which is 9.5 added to 9.5 and equals 19. So Helen spent $19 on art supplies. This proves that the cost of one glue stick, x, is equal $4.75.</u>
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➷ To understand this, you need to know one rule:
when indices are separated by parenthesis, they multiply
As per this rule, the correct option would be C
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<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer:
yes
Step-by-step explanation:
side 1
(2,8) to (2,2)
8-2 = 6 (length of this side)
side 2
(2,2) to (-4,2)
2-(-4) = 6
side 3
(-4,2) to (-4,8)
8-2 = 6
side 4
(-4,8) to (2,8)
2- (-4) = 6
* note: it doesn't matter the order of subtraction because length can't be negative (so just make sure your answer is positive) , also don't subtract the side that is constant, you will get 0, a side can not be 0 cm
to find the area of a square multiply length by width
6 x 6 = 36
