With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
Answer: Hello!
In a normal distribution, between the mean and the mean plus the standar deviation, there is a 34.1% of the data set, between the mean plus the standar deviation, and the mean between two times the standard deviation, there is a 16.2% of the data set, and so on.
If our mean is 16 inches, and the measure is 26 inches, then the difference is 10 inches between them.
a) if the standar deviation is 2 inches, then you are 10/2 = 5 standar deviations from the mean.
b) yes, is really far away from the mean, in a normal distribution a displacement of 5 standar deviations has a very small probability.
c) Now the standar deviation is 7, so now 26 is in the range between 1 standar deviation and 2 standar deviations away from the mean.
Then this you have a 16% of the data, then in this case, 26 inches is not far away from the mean.
Answer:
I dont know
Step-by-step explanation:
SORRRYYY
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
The relation between A and B subset is A⊆B
What is Subsets?
A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.
It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.
Thus in the given question :
A={summer, autumn, spring, winter}
B={summer, winter}
"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.
check and know more about sets here :
brainly.com/question/23454979
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