Answer:
Based off of my calculations, I got 126
Step-by-step explanation:
The formula for area would be: A = L * W
So, when finding the width (W), you would need to divide the area (A) by the length (L).
Equation: W = A / L
Now you know the equation, all you need to do is plug in the numbers:
[84 divided by 2/3]
W = 84 / 2/3
After solving this, you would get: 126
So, W = 126.
To check if we got the correct answer, we could just multiply the length times the width:
126 * 2/3
Since this equation gives us 84 as the answer, 126 is the correct width.
Answer:
x = 6
Step-by-step explanation:
Since the triangle is equilateral then sides are congruent.
Equate any 2 sides and solve for x
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
JK = (13 × 6) + 5 = 78 + 5 = 83
KL = (17 × 6) - 19 = 102 - 19 = 83
JL = (8 × 6) + 35 = 48 + 35 = 83
ΔJKL is equilateral with side = 83
Answer:
10^5
Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.
Answer: a+b+c/3
Step-by-step explanation:
mean= sum of all values/number of values
Answer:
The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:
The information provided is:
<em>x</em> = number of students who responded as"yes" = 70
<em>n</em> = sample size = 200
Confidence level = 95%
The formula to compute the sample proportion is:
The R codes for the construction of the 95% confidence interval is:
> x=70
> n=200
> p=x/n
> p
[1] 0.35
> s=sqrt((p*(1-p))/n)
> s
[1] 0.03372684
> E=qnorm(0.975)*s
> lower=p-E
> upper=p+E
> lower
[1] 0.2838966
> upper
[1] 0.4161034
Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
