What line is perpendicular to 1/3
2 answers:
Answer:
<h2>-3</h2>Step-by-step explanation:
If you mean 1/3 slope, then -3/1 or -3 since the opposite inverse rule says that perpendicular lines are opposite inverses of each other. In other words, flip the order of 1/3 to 3/1 and add a negative sign. This makes sense, since the lines would go in opposite directions.
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Answer:
2.51 < σ < 3.92
Step-by-step explanation:
We will use Chi-Square distribution to create the interval. We have the following information:
n = 41
Level of Confidence : 95%,
This corresponds to Chi-Square values of:
24.433 for the left tail and 59.342 for the right tail
We need to calculate the sample Variance. This is done on attached photo 1 (the shortcut formula for finding variance was used)
We get s = 9.3866.
See the construction of the confidence interval on the second attached photo
Answer:
Step-by-step explanation:
Hello!
You have the data on 443 rounds of golf played on the 12th hole.
The variable of interest is:
X: score of one round of golf played on the 12th hole.
To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.
a. Check attachment.
fi= absolute frequency
Fi= accumulated absolute frequencies
hi= relative frequency
Hi= accumulated relative frequency
b.
P(X≤4)
This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:
P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136
c.
The expected score of a discrete variable is:
E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29
d.
To calculate the variance of the variable you have to use the following formula:
V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]
V(X)= 0.993
e.
The standard deviation is the square root of the variance:
√V(X)=√0.993= 0.994
I hope it helps!
Answer:
A(w) = - + 100w
Step-by-step explanation:
First, we need to find down the length (l) of the rectangular area in term of w
We have 200 feet of fencing is the perimeter of the rectangular area, which mean:
2 (w + l) = 200
<=> l = 100-w
But the area of land: w*l
= w (100-w)
=- + 100w
So, A(w) = - + 100w