What is the value of 6n(n−1)+4, when n=3?
Answers
B(rackets) I(ndicies) D(ivision) M(ultiplication) A(ddition) S(ubtraction)
6(3) (2) + 4
18(2) + 4
36 + 4
40
The value of 6n(n−1)+4, when n=3 is 40
Final answer:
The value of the mathematical expression 6n(n−1)+4 when n=3 is 40. This involves plugging in the value of n=3 into the expression and simplifying it according to the order of operations.
Explanation:
This is a simple math algebra problem about plugging in values and solving expressions. The given equation is 6n(n−1)+4, and we are asked to find the value when n=3. Let's start by replacing n with 3 in the equation.
So, 6n(n-1)+4 becomes 6*3*(3-1)+4. Simplifying inside the parenthesis first (according to the order of operations), we get 6*3*2+4, which becomes 18*2+4, then 36+4. Finally, that simplifies to 40.
So, the value of 6n(n-1)+4, when n=3 is 40.
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What can she infer about the wingspans of the two types of birds?
Type 1: {18, 24, 20, 22, 26}
Type 2: {24, 21, 19, 26, 30}
A.
Type 1 and Type 2 birds have similar wingspan distributions.
B.
Type 1 and Type 2 birds have somewhat similar wingspan distributions.
C.
Type 1 birds and Type 2 birds do not have similar wingspan distributions.
D.
Type 1 birds and Type 2 birds have identical wingspan distributions.
Answers
Answer:
Step-by-step explanation:
The given data set for type 1 of birds is:
Type 1: {18, 24, 20, 22, 26}
Type 2: {24, 21, 19, 26, 30}
Mean of the type 1 data is:
Data
18 16
24 4
20 4
22 0
26 16
Now, mean average of squares is:
Standard deviation=
Now, the difference of mean and its standard deviation of type 1 data set is:
=22-2.828
Difference =19.172
The given data set for type 2 of birds is:
Type 2: {24, 21, 19, 26, 30}
Mean of the type 2 data is:
Data
24 0
21 9
19 25
26 4
30 36
Now, mean average of squares is:
Standard deviation=
Now, the difference of mean and its standard deviation of type 2 data set is:
=24-3.84
Difference=20.16
Since, the difference of mean and standard deviation of both type 1 and type 2 data set is different, therefore, Type 1 birds and Type 2 birds do not have similar wingspan distributions.
Hence, option C is correct.
Answer:
Type 1 and Type 2 birds have similar wingspan distributions.
Step-by-step explanation:
Answers
Length = (1 x 3):(30 x 3) = 3:90 (i.e. the actual length of the living room is 90 inches = 7.5 feet)
Width = (1 x 5.5):(30 x 5.5) = 5.5:165 (i.e. the actual width of the living room is 165 inches = 13.75 feet)
Area of the actual living room = length x width = 7.5 x 13.75 = 103.125
Therefore, area is approximately 103 square feet.
Answer:
103 sq. ft.
Step-by-step explanation:
Answers
The arealeft for vegetables is 5/8 of the garden.
What is a fraction?
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The totalarea is considered as 1
Area of the garden for herbs = 3/8
Now,
The arealeft.
= 1 - 3/8
= (8 - 3) / 8
= 5/8
Thus,
The arealeft for vegetables is 5/8 of the garden.
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Answers
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