Find the probability and interpret the results. if convenient, use technology to find the probability. during a certain week the mean price of gasoline was $2.715 per gallon. a random sample of 32 gas stations is drawn from this population. what is the probability that the mean price for the sample was between $2.691 and $2.732 that week? assume sigmaσequals=$0.049

Answers

Answer 1

From the given question:

[tex]\mu=\$2.715 \\ \\ \sigma=\$0.049[/tex]

The probability of a normally distributed data between two values (a, b) is given by:

[tex]P(a\ \textless \ \bar{x}\ \textless \ b)=P\left( \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left( \frac{a-\mu}{\sigma/\sqrt{n}} \right)[/tex]

Thus,

[tex]P(\$2.691\ \textless \ \bar{x}\ \textless \ \$2.732)=P\left( \frac{\$2.732-\$2.715}{\$0.049/\sqrt{32}} \right)-P\left( \frac{\$2.691-\$2.715}{\$0.049/\sqrt{32}} \right) \\ \\ =P(1.963)-P(-2.771)=0.97515-0.0028=\bold{0.97235}[/tex]

Answer 2

Final answer:

To find the probability of the sample mean price being between $2.691 and $2.732, calculate the Z-scores for each bound and use a Z-table or statistical software. This utilizes the central limit theorem and the concept of Z-scores in statistics.

Explanation:

The question is about finding the probability that the mean price for a sample of 32 gas stations was between $2.691 and $2.732, assuming the population mean was $2.715 and standard deviation was $0.049. To solve this, we use the Z-score formula for each sample mean, Z = (X - μ) / (σ/√n), where μ is the population mean, σ is the population standard deviation, and n is the sample size. Then, we find the area between these Z-scores using a Z-table or statistical software to get the probability.

To calculate:

For $2.691: Z = ($2.691 - $2.715) / ($0.049/√32) = -3.44For $2.732: Z = ($2.732 - $2.715) / ($0.049/√32) = 2.45

Refer to a Z-table or software with these Z-scores to find the probability of the sample mean price being between $2.691 and $2.732. This method exemplifies how statisticians use Z-scores and the central limit theorem to estimate probabilities relating to sample means.

Related Questions

One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes?

A First one
B second one
C third one
D last one

Answers

1.55 / 1 = x / 3.5....$ 1.55 to 1 lb = $ x to 3.5 lbs

first one <==

it could have also been : 1 / 1.55 = 3.5 / x...but that is not an answer choice

Answer:

Step-by-step explanation:

One pound of grapes costs $1.55. To find the amount x of 3.5 pounds of grapes we would have to multiply 1.55 by 3.5. This would give us the amount x we would have to pay for them.

If we examine the 4 equivalent radios shown in the pictures, we will see that the first one correctly shows this equivalency.

[tex]\frac{1.55}{1} = \frac{x}{3.5}[/tex]

The other 3 pictures show radios that would give us x = 3.5 / 1.55 (second and third) or x = 1.55 / 3.5 (fourth picture).

Therefore, the correct answer would be a)

If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two lines are undefined. C.The slopes of the two lines are zero. D.The slopes of the two lines are negative reciprocals.

Answers

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

Answer:

The answer to your question is D. The slopes of the two lines are negative reciprocals.

Step-by-step explanation:

Hope this helps have a great day :D

The graph of the function f(x) = (x − 3)(x + 1) is shown.

Which describes all of the values for which the graph is positive and decreasing?

A.all real values of x where x < −1
B.all real values of x where x < 1
C.all real values of x where 1 < x < 3
D.all real values of x where x > 3

Answers

There's an error in the graph, but the answer is A.

Answer:

The correct option is A.

Step-by-step explanation:

The given function is

[tex]f(x)=(x-3)(x+1)[/tex]

Equate f(x)=0 to find the x-intercepts of the function.

[tex]0=(x-3)(x+1)[/tex]

[tex]x=3,-1[/tex]

The x-intercepts of the function are -1 and 3. From the below graph it is clear that,

In x<-1, the function is positive and decreasing.

In -1<x<1, the function is negative and decreasing.

In 1<x<3, the function is negative and increasing.

In x>3, the function is positive and increasing.

Therefore the correct option is A.

Juanita works at a telemarketing company. She makes 12 sales calls per hour. Employees are encouraged to make more than 480 calls per week. Juanita has already made 144 calls this week. How many more hours, x, does Juanita need to work this week to reach the weekly goal of sales calls?

Answers

480 - 144 = 336
336 divided by 12 = 28

ANSWER: 28 Hours

Answer:

dswrfoASBGFUwy9uo

Step-by-step explanation:

fcfdscmskvnsk

Use integers to represent the values in the statement.The hightest elevation in a country is Mt.Snowy with an altitude of 15178 feet.The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level

Answers

the lowest elevation can be represented in integers like this: -237 feet
because it is below sea level, it is negative
the highest elevation can be expressed like so: 15178 feet

Answer:

Integers include positive Natural Numbers and Negative Natural numbers along with number which has no value called Zero.

Positive Integer=1,2,3,4.........Infinity

Negative Integer= -1,-2,-3,-4,...... -Infinity

Height of Mt.Snowy which is above sea level can be represented in terms of Integers = + 15,718 feet

Height of Green Valley which is above sea level can be represented in terms of Integers = + 237 feet

As, both Mountain snowy and Green valley are above sea level , so it will be represented by positve Integers.

There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25. How many quarters, dimes, and nickels are there?

Answers

n=d-2
q=n+d =>q=(d-2)=q=2d-2
25q+5n+10d=525
replace q and n with d
25(2d-2) +5(d-2)+10d=525
50d-50+5d-10+10d=525
65d=585
d=9
n=7
q=16

what do Subway fraction and a whole number it is 5/6 x 36

Answers

The answer to this question is 221/6 I believe

Which equation has a y-intercept of 0?

A) y = 7x + 1

B) y = -3x

C) y = 4x - 4

D) y = x + 5

Answers

The answer would be B because, unlike the others, it only shows the slope.

Compare all of these equations to y = mx + b. The "b" represents the y-intercept. The correct answer here is the equation that has no "b." This means that b = 0.

Which quadratic function has a leading coefficient of 2 and a constant term of –3?

f(x) = 2x3 – 3
f(x) = –3x2 – 3x + 2
f(x) = –3x3 + 2
f(x) = 2x2 + 3x – 3

Answers

From the four functions listed, eliminate the middle two, because neither has the constant coefficient 2.

This leaves f(x) = 2x^3 - 3 and f(x) = 2x^2 + 3x - 3.
Please note: use "^" to indicate exponentiation; do not write "x2" or "x3."

Eliminate f(x) = 2x^3-3, because it's NOT a quadratic function.

This leaves f(x) = 2x^2 + 3x - 3 as the answer; it has a leading coeff. of 2 and a constant term of -3, as required.

The solution is Option D.

The quadratic equation which has a leading coefficient of 2 and a constant term of -3 is A = 2x² + 3x - 3

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a) Let the equation be f ( x ) = 2x³ - 3

The equation is not a quadratic equation

b) Let the equation be f ( x ) = -3x² - 3x + 2

The quadratic equation does not have a constant term of -3

c) Let the equation be f ( x ) = -3x³ + 2

The equation is not a quadratic equation

d) Let the equation be f ( x ) = 2x² + 3x -3

Now , the quadratic equation is of the form ax² + bx + c = 0 and has a leading coefficient of 2 and constant term of -3

Hence , the quadratic equation is f ( x ) = 2x² + 3x -3

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Consider the function h(x) = arcsin x) considering the input of h... i) ...which is a valid unit of measure for the input quantity

Answers

Given the function [tex]h(x)=\arcsin(x) [/tex]

Part a:

Considering the input of h

i.) A valid unit of measure for the input quantity is Seconds

ii.) The possible input values, i.e. the domain of h are -1 ≤ x ≤ 1

Part B:

i.) A valid unit of measure for the output quantity is the Radians.

ii.) The possible output values, i.e. the range of h is 0 ≤ h ≤ 2π

Part C:

i.) [tex]\arcsin\left(\sin\frac{\pi}{3}\right)=\frac{\pi}{3}[/tex]

ii.) [tex]\arcsin\left(\sin\frac{2\pi}{3}\right)=\frac{2\pi}{3}[/tex]

iii.) [tex]\arcsin\left(\sin\frac{7\pi}{6}\right)=\frac{7\pi}{6}[/tex]

iv.) [tex]\arcsin\left(\sin\frac{7\pi}{4}\right)=\frac{7\pi}{4}[/tex]

Use the graph of y = tan x to find all values of x, 0 ≤ x ≤ 2π, for which the following is true.

tan x is undefined

Answers

check the picture below, notice the red asymptotic lines.

now, recall that

[tex]\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \\\\\\ tan\left( \frac{\pi }{2} \right)=\cfrac{sin\left( \frac{\pi }{2} \right)}{cos\left( \frac{\pi }{2} \right)}\implies \stackrel{und efined}{tan\left( \frac{\pi }{2} \right)=\cfrac{1}{0}} \\\\\\ tan\left( \frac{3\pi }{2} \right)=\cfrac{sin\left( \frac{3\pi }{2} \right)}{cos\left( \frac{3\pi }{2} \right)}\implies \stackrel{und efined}{tan\left( \frac{\pi }{2} \right)=\cfrac{-1}{0}}[/tex]

I need help fast!! Having trouble with this!!

Answers

THE ANSWER TO THIS PROMBLEM IS A

d = 8t

if t = 0 then d =0
if t =1 then d =8x1 = 8
if t = 2 then d = 8x2 = 16

answer is C.
d = 8t

What is the constant of proportionality I. The equation y=5x?

Answers

Answer:

The value of the constant of proportionality is [tex]k=5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

The value of the constant k is equal to the value of the slope

In this problem we have

[tex]y=5x[/tex] ------> is a linear direct variation

The slope is [tex]m=5[/tex]

therefore

The value of the constant of proportionality is [tex]k=5[/tex]

The constant of proportionality on the equation is 5.

To obtain the constant of proportionality ;

We compare the general direct proportionality relation with the equation given.

The equation given : y = 5x

The direct relationship between y and x is :

y α x

y = kx - - - (1)

Where, y and x are variables and k is the constant of proportionality.

Comparing equation (1) with the equation given :

y = kx

y = 5x

We can observe that, k in the equation (1) equals to 5 in the given equation.

Hence, the constant of proportionality is 5

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Express the decimal number 100 in all radices from 2 to 9

Answers

A decimal number can be converted into diffrent radices by continuos division and recording the remainders.

Part 1

To convert the decimal number 100 to radix 2, we have:

[tex] \frac{100}{2} =50 \ remainder \ 0 \\ \\ \frac{50}{2} =25 \ remainder \ 0 \\ \\ \frac{25}{2} =12 \ remainder \ 1 \\ \\ \frac{12}{2} =6 \ remainder \ 0 \\ \\ \frac{6}{2} =3 \ remainder \ 0 \\ \\ \frac{3}{2} =1 \ remainder \ 1 \\ \\ \frac{1}{2} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 2 is 1100100

Part 2:

To convert the decimal number 100 to radix 3, we have:

[tex]\frac{100}{3} =33 \ remainder \ 1 \\ \\ \frac{33}{3} =11 \ remainder \ 0 \\ \\ \frac{11}{3} =3 \ remainder \ 2 \\ \\ \frac{3}{3} =1 \ remainder \ 0 \\ \\ \frac{1}{3} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 3 is 10201

Part 3:

To convert the decimal number 100 to radix 4, we have:

[tex]\frac{100}{4} =25 \ remainder \ 0 \\ \\ \frac{25}{4} =6 \ remainder \ 1 \\ \\ \frac{6}{4} =1 \ remainder \ 2 \\ \\ \frac{1}{4} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 4 is 1210

Part 4:

To convert the decimal number 100 to radix 5, we have:

[tex]\frac{100}{5} =20 \ remainder \ 0 \\ \\ \frac{20}{5} =4 \ remainder \ 0 \\ \\ \frac{4}{5} =0 \ remainder \ 4[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 400

Part 5:

To convert the decimal number 100 to radix 6, we have:

[tex]\frac{100}{6} =16 \ remainder \ 4 \\ \\ \frac{16}{6} =2 \ remainder \ 4 \\ \\ \frac{2}{6} =0 \ remainder \ 2[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 244

Part 6:

To convert the decimal number 100 to radix 7, we have:

[tex]\frac{100}{7} =14 \ remainder \ 2 \\ \\ \frac{14}{7} =2 \ remainder \ 0 \\ \\ \frac{2}{7} =0 \ remainder \ 2[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 202

Part 7:

To convert the decimal number 100 to radix 8, we have:

[tex]\frac{100}{8} =12 \ remainder \ 4 \\ \\ \frac{12}{8} =1 \ remainder \ 4 \\ \\ \frac{1}{8} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 144

Part 8:

To convert the decimal number 100 to radix 9, we have:

[tex]\frac{100}{9} =11 \ remainder \ 1 \\ \\ \frac{11}{9} =1 \ remainder \ 2 \\ \\ \frac{1}{9} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 121

A business bought a lot of 2,500 lamps for fifty thousand dollars and wants to to sell them at 15% prfit. How much should each lamp cost?

Answers

Let L = how much is lamp should cost

L = [(50,000)(0.15) + 50,000]/(2500)

Calculate the right side of the equation to find your answer.

So 15% of 50000=7500 The answer is 7500

Calculate the quotient and remainder of 19 divided by 7.

Answers

If you want the remainder then it will look like this: 2R5. But if you want the decimals then it is 2.71428571, to be exact. Hope this helps.

!!!!PLEASE HELP!!!!

Joe purchased a tray of 48 petunias to plant in his garden. The graph shows points representing the number of flowers left to plant at several different times while Joe is planting.

Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of petunias left to plant, y, and the time, x, Joe has spent planting.

Answers

Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

Answer:

12x + y = 48

Step-by-step explanation:

A number added to 12 and then subtracted by 18 equals 26. What is the number

Answers

the answer would be 32. take your 26 and add 18 then subtract 12. then rework it forward if you don't understand.

32? you would add
hope this helps

A group of friends is collecting aluminum for a recycling drive.Each person who donates at least 4.25 pounds of aluminum receives a free movie coupon.The weight of each person's donation is shown in the table.

A. order the weights of the donations from greatest to least.

B. Which of the friends will receive a free movie coupon? Which will not?

C.What if? Would the person with the smallest donation win a movie coupon if he or she had collected 1/2 pound more of aluminum? Explain

Brenda. Claire Jim. Micah

4.3. 5.5. 6 1/6. 15/4

Peter
4 3/8

Answers

Answer:

Brenda Claire Jim Micah Peter

4.3 5.5 6 1/6 15/4 4 3/8

4.3 5.5 6.17 3.75 4.375 (all values in decimal)

A. order the weights of the donations from greatest to least.

6.17 , 5.5 , 4.375 , 4.3 , 3.75

B. Which of the friends will receive a free movie coupon? Which will not?

As given - Each person who donates at least 4.25 pounds of aluminum receives a free movie coupon.

So, Brenda, Claire, Jim and Peter will receive coupons and Micah will not receive.

C.What if? Would the person with the smallest donation win a movie coupon if he or she had collected 1/2 pound more of aluminum?

Micah got 3.75 pounds and if he got 0.5 pounds more, then he would have;

[tex]3.75+0.5=4.25[/tex] pounds

Then he would have got the coupon as a minimum of 4.25 pounds is required.

how do i figure out 3/4 of 640 fraction

Answers

640/4 x 3 = 480

answer
3/4 of 640 = 480

Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys. Explain why Kym is incorrect.

Answers

Kym is wrong because the ratio means that 50% of the students in the cafeteria were boys.

What are ratios?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value.

What percentage are boys?

Number of boys = (25 /50) x 50 = 25

Percentage of the number of boys = (25/50) x 100 = 50%

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Kym is incorrect because the ratio of boys to girls being 25:25 means there are equal numbers of boys and girls. Therefore, boys make up 50% of the students, not 25%.

Kym's explanation is incorrect because the ratio of boys to girls being 25:25 means that the number of boys is equal to the number of girls.
Specifically, this ratio can be simplified to 1:1. Since there are 50 students in total and the number of boys and girls is equal, there must be 25 boys and 25 girls.
Therefore, boys make up 25 out of the 50 students, which is actually 50%, not 25%.

The total number of students= 50.

Understand that a ratio of 25:25 means equal parts of boys and girls.

Simplify the ratio 25:25 to 1:1.

The number of boys: 50 students \/ 2 = 25 boys.

The percentage of boys,
(25 boys \/ 50 total students) * 100 = 50%.

Thus, boys constitute 50% of the student population, not 25%.

240 square feet minus 100 square feet

Answers

240 - 100 = 140

your answer is 140 square feet

hope this helps

Your answer is 140 square feet

Which is another way to name UST? TSR TSU USR UTS

Answers

Another was to name it is <TSU.

TSU is the correct answer

Help me look at pics

Answers

Divide 45 by 9. This leaves you with 5 in the denominator of your fraction. Next, cancel out the x^5 factors completely. They disappear. Next, divide y^16 by y^4. You'll get y^12. The first answer is the correct one.

Answer:

It's the first one

Step-by-step explanation:

What is the difference between the sample average y and the population mean?

Answers

When a finite number of samples are drawn from a larger population, the sample mean of that sample, while usually close to the population mean, is not the same thing. A population mean, on the other hand, is a description of pretty much ALL of whatever is being examined.

Example of population: Everyone in the USA
Example of a sample: One person, chosen at random, from each of the 50 states

A given line has the equation 10x + 2y = −2.

Answers

what variable are u solving for?

Answer:

5x+y=12

Step-by-step explanation:

The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q?

Answers

Refer to the diagram shown below.

Calculate the slope of line segment AB as m₁.
[tex]m_{1} = \frac{4-1}{p-6}= \frac{3}{p-6} [/tex]

Calculate the slope of line segment BC as m₂.
[tex]m_{2} = \frac{q-1}{9-6} = \frac{q-1}{3} [/tex]

The product of the slopes of perpendicular lines is equal to -1.
Therefore
[tex]( \frac{3}{p-6})( \frac{q-1}{3})=-1 \\\\ \frac{q-1}{p-6}=-1 \\\\ q-1 = 6-q \\\\ p+q = 7 [/tex]

The equation that relates p and q is p+q = 7

Answer: p + q = 7

all real numbers that are less than or equal to -27?in interval notation.

Answers

All real numbers that are less than or equal to -27?in interval notation.

(-∞, -27]

Final answer:

The set of all real numbers less than or equal to -27 in interval notation is (-∞, -27].

Explanation:

The set of all real numbers that are less than or equal to -27 can be represented in interval notation as (-∞, -27]. In interval notation, a square bracket indicates that the endpoint is included in the set. In this case, -27 is included because the question states 'less than or equal to.' The symbol '-∞' represents negative infinity, indicating that there is no lower bound on the set.

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jeff finds some bugs. he finds 10 fewer grasshoppers than crickets. he finds 5 few crickets than ladybugs. if jeff finds 5 grasshoppers. how many ladybugs does jeff find? how many crickets does he finds?

Answers

Answer:
Jeff finds 15 crickets
Jeff finds 20 ladybugs

Explanation:
Assume that the number of grasshoppers is x, the number of crickets is y and the number of ladybugs is z

We are given that:
1- Number of grasshoppers is 10 less than number of crickets.
This means that:
x = y - 10 .............> equation I

2- Number of crickets is 5 less than number of ladybugs.
This means that:
y = z - 5 ..............> equation II

3- Jeff found 5 grasshoppers.

Substitute with value of grasshoppers in equation I to get the number of crickets as follows:
x = y - 10
5 = y - 10
y = 10 + 5
y = 15 crickets

4- Now we know that the number of crickets is 15, substitute with that value in equation II to get the number of ladybugs as follows:
y = z - 5
15 = z - 5
z = 15 + 5
z = 20 ladybugs

Based on the above:
number of crickets is 15
number of ladybugs is 20

Hope this helps :)

Jeff found 15 crickets and 20 ladybugs

Let the number of grasshoppers be x

Let the number of crickets be y

Let the number of ladybugs be z

If Jeff finds 10 fewer grasshoppers than crickets, hence x = y - 10

If he finds 5 few crickets than ladybugs, hence y = z - 5

If jeff finds 5 grasshoppers, hence x = 5

Since x = y - 10

5 = y - 10

y = 5 + 10

y = 15

Similarly since y = z - 5

15 = z - 5

z = 15 + 5

z = 20

This shows that Jeff found 15 crickets and 20 ladybugs

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Two vectors are given by a with arrow = 3 î + 6 ĵ and b with arrow = -1 î + ĵ. (a) find a with arrow ✕ b with arrow.

Answers

Given that vectors are [tex]\vec a = (3, 6, 0)[/tex] and [tex]\vec b = (- 1, 1, 0)[/tex], the cross product of the two vectors are [tex]\vec a \times \vec b = (0, 0, 9)[/tex].

How to determine the cross product of two vectors

Vectorially speaking, cross product is a operation between two 3-dimension vectors to generate a third vector perpendicular to the two former. If we know that [tex]\vec a = (3, 6, 0)[/tex] and [tex]\vec b = (- 1, 1, 0)[/tex], then the cross product is:

[tex]\vec a \times \vec b = \left|\begin{array}{ccc}\hat{i}&\hat {j}&\hat{k}\\3&6&0\\-1&1&0\end{array}\right|[/tex]

[tex]\vec a \times \vec b = (0, 0, 3 + 6)[/tex]

[tex]\vec a \times \vec b = (0, 0, 9)[/tex]

Remark

The statement is incomplete and there is no possibility to complete it. Hence, we decided to consider the given statement as complete.

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Final answer:

The cross product of vectors a and b is found by creating a matrix with the vectors' components and calculating its determinant. The result in this case is -3î.

Explanation:

To find the cross product of vectors a = 3 î + 6 ĵ and b = -1 î + ĵ, you have to follow the matrix method. We list the unit vectors î, ĵ at the top of our matrix, and then add the components of vectors a and b underneath.

⟮ î ĵ ⟯
⟮ 3 6 ⟯ (from vector a)
⟮ -1 1 ⟯ (from vector b)

We calculate the determinant of this matrix using the rule of Sarrus. The resulting vector will be î(y1*z2 – z1*y2) - ĵ(x1*z2 – z1*x2) which, when plugging in our values, gives 3î - 6î. Therefore, a✕b equals -3î.

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In february of 1861, the seven seceded states met in montgomery, alabama, toa.found the confederate states of america.b.discuss military strategy after the victory at first bull run.c.decide how resources would be divided between the seven states of the confederacy.d.try to get arkansas, north carolina, virginia, and tennessee to join the confederacy. The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle. The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bills. Which expression could represent the amount of money that was stolen? A) 280(100x+50y+20z) B) 100x+50y+20z-280 C) 280x+170 D) 170x+280170x+280 E) 100x+50y+20z+280 For what reason might one guess that the compound (clo4)2so4 is never observed? QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!! The Calvin Cycle does not require ___, but it does require the ___ of the Light Reactions. A floor plan shows the area of a room is 271.25 square feet. if the room is 15.5 feet wide, how long is it? Can someone look over these answers please? The BEST definition of muscular strength is: (Not sure about this one)A) Lift as much weight as you possibly can 1 timeB) Lift heavy weights 8-12 timesC) Lift lighter weights for longer periods of timeWhen we exercise, we should try to get our heart rates into the:A) Danger Zone (DZ)B) Target Heart Rate Zone (THR) Solve (3) 2. 6 5 5 6 the vertex of this parabola is at (3,5). When the y-value is 6, the x-value is -1. What is the coefficient of the squared term in the parabolas equation Which of the following inequalities is graphed below I'll give 5 stars if you want Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x -4y= 28 What was the role of technology in discovering the cell theory and why was it important A river has different populations of lampreys and paddlefish. The paddlefish feed on zooplankton, while the lampreys feed on the paddlefish. Humans living around the river hunt the paddlefish. What will happen to the ecosystem if the paddlefish are hunted in excess? Which candidate did john quincy adams defeated in the controversial election of 1824? On a hot summer day several swimmers decide to jump into a river. They step off the bridge and strike the water at 1.5s later. Ignore air resistance. What is the height of the bridge?I did it but I dont know if its right After studying about fungi, which information indicates a correct understanding of fungi? fungi causing deep or systemic infections Write 34 13/20 as a decimal please help! Who was most responsible for the closing of Boston Harbor?General WashingtonSecond Continental CongressBritish governmentunofficial colonial groupsFrench armed forcesBritish armed forces 5. At a local store you find the following prices listed: Tape 2 rolls for $1.28 Notepads 3 pads for .87 Highlighters 1 for 1.59 Pens 2 for 1.98 How much would you pay for one roll of tape, two note pads, two highlighters, and two pens? A. $5.72 B. $6.38 C. $4.50 D. $8.07 Steam Workshop Downloader