✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
To determine if the set of vectors is linearly independent, we need to check if any of the vectors can be expressed as a linear combination of the others.
Let's consider the first vector [8 -6 4].
If we try to express this vector as a linear combination of the other vectors, we get:
[8 -6 4] = a[12 -9 6] + b[0 0 0]
where a and b are constants.
We can immediately see that this equation has infinite solutions, because the third component of the second vector is zero, which means we can choose any value for b and still satisfy the equation.
Therefore, the set of vectors is linearly dependent.
Hence, Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
To learn more on Matrices click:
https://brainly.com/question/28180105
#SPJ6
Determine by inspection whether the vectors are linearly independent. Justify your answer.
[8 -6 4][12 -9 6]
A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. (Type an integer or a simplified fraction.)
B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. (Type an integer or a simplified fraction.)
C. The set of vectors is linearly dependent because one of the vectors is the zero vector.
D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.
Write an equivalent
unit rate to eating 5
potato chips in 1/4 of a
minute.
Answer:
1 potato chip every 3 seconds
Step-by-step explanation:
Answer:
20 chips in one minute
Step-by-step explanation:
multiply each number by 5
In 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension parish and find that the average home sale price was $246,000 in 2018. You test the hypothesis that the mean of the home prices from Ascension parish is higher than the EBR mean. Suppose the p-value for the test is 0.045. At the 0.10 level of significance your conclusion is:_______
A. There is evidence that the average home price of homes sold in Ascension parish in 2018 is higher than the average price of homes sold in EBR parish.
B. There is no evidence that the average home price of homes sold in Ascension parish in 2018 is higher than the average price of homes sold in EBR parish.
C. There is not enough information for decision-making.
Answer:
Option B: There is no evidence that the average home price of homes sold in Ascension parish in 2018 is higher than the average price of homes sold in EBR parish
Step-by-step explanation:
We are given;
Population mean of EBR Parish; μ1 = $239,000
Sample mean of Ascension parish; x2 = $246,000
P-value = 0.045
Population mean of Ascension parish; μ1 =?
Now,let's define the hypothesis;
Null Hypothesis; H0: μ2 = μ1
Alternative hypothesis; Ha: μ2 > μ1
Now, we are told that the level of significance is 0.1.
Thus; α = 0.1
Now,the level of significance of 0.1 is greater than the p-value which is 0.045 and thus we will fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that the average home prices in Ascension parish in 2018 is higher than the average price of homes sold in EBR parish.
The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool? How much gallons? You get 30 points to answer this.
Answer:20000
Step-by-step explanation:
I need to simplify this pls help
Answer:
5x^5
Step-by-step explanation:
45x/9x = 5x
15 - 10 = 5
5x^5
I’ll mark brainliest
Answer:
2
Step-by-step explanation:
Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about proportional sides to solve for the unknown side ,x
Answer:
x = 20
Step-by-step explanation:
Length 6 corresponds to length 15
Length 8 corresponds to length x
15 ÷ 6 = 2.5
8 • 2.5 = 20
x = 20
2.5 is the scale factor of the small triangle to the big triangle.
is 1.44444 rational or irrational lol
Answer:
its rational dude
Step-by-step explanation:
The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown
Unfortunately, my work was removed due to a system error, but these are the answers.
Answer:
its correct edg 22
Step-by-step explanation:
What is 3 2/3 minus 1 1/4
Answer: 2 5/12
3⅔ - 1¼ = 2 5/12
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2)
Answer:
[tex](h(g))(-2)=-32[/tex]
Step-by-step explanation:
Evaluate h ⋅ g
Replace the function designators in h ⋅ g with the actual functions.
[tex](h(g))(-2)=(x^{2} +4)(2x)[/tex]
[tex]=2x^{2}x+8x[/tex]
Multiply [tex]x^{2}[/tex] by x by adding the exponents.
[tex]=2x^{3}+8x[/tex]
Evaluate h ⋅ g at −2.
[tex]=2(-2)^{3}+8(-2)[/tex]
Simplify
[tex]=-16-16[/tex]
subtract 16 from -16
[tex](h(g))(-2)=-32[/tex]
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20\%20%20, percent chance of winning each game and that Cam has a 50\%50%50, the percent chance of winning each game.
What is the probability that Ben will win the board game?
Answer:
30\%30%30
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
PLEASE HELP ME IM DESPERATEEEE
Answer:
See attached
Step-by-step explanation:
The form is filled in and attached
A wooden plank of length x is cut into 8 sections such that each sectionIs at most 2 1/2 m long what is the length of the entire plank in meters
Step-by-step explanation:
'__'__'__'__'__'__'__'__'
<--------------------------------> = x
x = 8 × 2.5m
=20m
Given g(x) = -x + 3, solve for x when g(x) = -1.
Answer:
4
Step-by-step explanation:
It's ok! This is simple. Simply plug in your given values. Since g(x) = -1, plug that into the equation.
g(x) = -x + 3
g(-1) = -(-1) + 3
=1+3
=4
Answer:
- x + 3 = - 1 ⇒ x = 4
Step-by-step explanation:
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
-4.2
Step-by-step explanation:
Answer plz plz plz plz
Write 4/42 in simplest form
Answer:
2/21
Step-by-step explanation: Basically divide both numbers by two over and over again till you get a odd number on either one. so 4 divided by 2 is 2, and 42 divided by 2 is 21, so i believe 2/21 is the answer. Hope this Helps! -Conner
Is the point (90,36) on the line
Answer:
Do you have a picture
Step-by-step explanation:
to figure it out
9. Which graph best represents -3y = -5x + 12?
What is the answer to this 4÷ 2/9
0.22222222222 (ETC)
Hope that helps
Answer:
18 the answer is 18
Step-by-step explanation:
i hope you have a good day
tan∧2 3Ѳ = 3, Ѳ is acute, then Ѳ is = PLEASE ANSWER FAST
Answer:
20
Step-by-step explanation:
We are given:
Tan²3Θ = 3
taking the square root of both the sides
Tan 3Θ = √3
3Θ = Arctan(√3)
the Arctan function takes a value as an input and outputs the angle at which you will have tanΘ = the input value
3Θ = 60
Θ = 20°
In the diagram m<8=11y+7 and m<3=y+17.What is m<2
Answer:
C. 150
Step-by-step explanation:
Given:
m<8 = 11y + 7
m<3 = y + 17
Required:
Find m<2
Solution:
m<8 + m<3 = 180 (supplementary angles and linear pair theorem)
11y + 7 + y + 17 = 180 (substitution)
Collect like terms
12y + 24 = 180
Subtract 24 from each side
12y = 180 - 24
12y = 156
Divide both sides by 12
y = 156/12
y = 13
m<2 = m<8 (alternate exterior angles are congruent)
m<2 = 11y + 7
Substitute y = 13 into the equation
m<2 = 11(13) + 7 = 143 + 7
m<2 = 150°
Carlos spends at least 45 minutes each day on the internet. Write an inequality which could be used to describe the amount of time,x, that Carlis spends on the internet.
Answer:
x ≤ 45 mins
Step-by-step explanation:
At least can be changed into less than or equal to.
Also, at most would be greater than or equal to.
Therefore, you simply need a less than or equal to sign.
A cube is a rectangular prism whose side lengths are all the same what is the volume of a cube with a side length of 2
Answer:
8
Step-by-step explanation:
L × W × H = V2 × 2 × 2 = 8I hope this helps!
The product of 5 and the difference of 9 and a number.
Answer: 5(9-x)
Step-by-step explanation:
Based on the question, let the number be represented by x.
From the question, we are informed that we've a product, this means that we need to multiply 5 by the difference of 9 and x.
In the order of operations, we've to multiply first before we subtract. Therefore, the equation will be written as:
= 5 × (9 - x)
= 5(9-x)
The computers of six faculty members in a certain department are to be re- placed. two of the faculty members have selected laptop machines and the other four have chosen desktop machines. suppose that only two of the se- tups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the com- puters are numbered 1,2,...,6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on).
(a) what is the probability that both selected setups are for laptop computers?
(b) what is the probability that both selected setups are desktop machines?
(c) what is the probability that at least one selected setup is for a desktop computer?
(d) what is the probability that at least on computer of each type is chosen for setup?
Answer:
A) The probability that both selected setups are for laptop computers is 0.067
B)The probability that both selected setups are desktop machines is 0.4
C)The probability that at least one selected setup is for a desktop computer is 0.933
D)The probability that at least on computer of each type is chosen for setup is 0.533
Step-by-step explanation:
Number of laptops = 2
Number of desktops = 4
Total number of outcomes = 15
a) what is the probability that both selected setups are for laptop computers?
Total number of outcomes = 15
So, the probability that both selected setups are for laptop computers = [tex]\frac{1}{15}=0.067[/tex]
b)what is the probability that both selected setups are desktop machines?
Number of desktops = 4
Number of desktops to be chosen = 4
We will use combination
No. of ways to select two desktops =[tex]^4C_2=\frac{4!}{2!(4-2)!}=6[/tex]
So,the probability that both selected setups are desktop machines=[tex]\frac{6}{15}=0.4[/tex]
(c) what is the probability that at least one selected setup is for a desktop computer?
P(at least 1 desktop)=1-P(No desktop)
P(at least 1 desktop)=1-P(both laptops)
P(at least 1 desktop)=1-0.067=0.933
So,the probability that at least one selected setup is for a desktop computer is 0.933
d) what is the probability that at least on computer of each type is chosen for setup?
No. of ways to select one desktop [tex]=^4C_1=\frac{4!}{1!(4-1)!}=4[/tex]
No. of ways to select one laptop =[tex]^2C_1=\frac{2!}{1!(2-1)!}=2[/tex]
So, No. of ways to select one laptop and one desktop= [tex]4 \times 2 = 8[/tex]
So,the probability that at least on computer of each type is chosen for setup=[tex]\frac{8}{15}=0.533[/tex]
Point Pis located at (-9,-5) and point Q is located at (-9, -8). What are the coordinates
of the midpoint?
Answer:
(-9,-6.5)
Step-by-step explanation:
mid point formula
Each big square is cut into 3 parts to represent multiplying by one-third. The number of small shaded squares in the circled parts of each big square is the numerator of the product. The total number of small squares in a single big square represents the denominator of the product. The product is
Answer:the answer is 5/9
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
What is the midpoint between (7, -5) and (9, -1)?
Answer:
7,5
Step-by-step explanation:
i think
Answer:
(8,-3)
Step-by-step explanation:
7+9=16 divide by 2 get 8
-5+-1= - 6divide by 2 get - 3
(X1+X2/2 and Y1+Y2/2)
Equation for mid point
They are Both math and science questions, I need an answer ASAP!