Answer:
We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.
Step-by-step explanation:
Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.
In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.
Confidence Interval can be calculated using M±ME where
- M is the sample mean difference between Store A and Store B purchase amounts
- ME is the margin of error from the mean
Answer:
x = -1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = -24:
24 x = -24
Divide both sides of 24 x = -24 by 24:
(24 x)/24 = (-24)/24
24/24 = 1:
x = (-24)/24
The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:
Answer: x = -1
W=x
L=2x+17
Double everything since we need to lengths and two widths to find the perimeter
2x+17+2x+17+x+x = 76
Combine like terms
6x+34=76
Solve for x
First step is subtract 34 from both sides
6x=42
Next you divide both sides by 6 in order to get x by itself
X=7
Now you plug in 7 into the x’s in length and width
W=7 cm
L=31 cm
THE WIDTH IS 31 CM
Check:
7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>
Step-by-step explanation:
To start:
- The values 15 and 10 are both for the same congreunt side --> EF and E'F'
- The values 4 and 6 are both for the same congreunt side --> DE and D'E'
- The values 4 and 6 are both for the same congreunt side --> DG and D'G'
- The values 8 and 12 are both for the same congreunt side --> FG and F'G'
So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.
Larger congruent value ÷ smaller congruent value = scale factor
15 ÷ 10 = scale factor
\____________________/
1.5
<h3>So, the scale factor is 1.5</h3>
To double check, we will use another congruent side to find the scale factor:
12 ÷ 8 = scale factor
1.5 = scale factor
<h3>So, the scale factor is most definitely 1.5</h3>
I hope this helps!
- sincerelynini
Answer:
or around 2%
Step-by-step explanation:
So we need to see how many tiles are left.
100 - 6 = 94
So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:
2 / 94 which is
And that is our answer! Hopefully this helps, have a nice day :D
