pls help fast with this question

Answer:

y=1

Step-by-step explanation:

first we find slope using y2-y1/x2-x1

1-1/7-(-8)

0/7+8

0/15

0

Now we can put this into the equation

y=0x+b

Now to find b we fill in the coordinates

1=0(-8)+b

1=b

y=0x+1

y=1

Hopes this helps please mark brainliest

Answer:

B. This because the power 7 will be multiplied to the powers of 3 and 5

The event of customer taking the bus and driving to the store are not dependent and hence are mutually exclusive events.

Since it is used to calculate the probabilities of events, set theory is highly well-liked in the fields of statistics and mathematical theory. When the likelihood of the two occurrences occurring simultaneously is equal to the probability of the events occurring separately, the events are said to be independent.

Given that A is the customer that takes the bus and B is the customer that drove to the store. Since, the two events do not have a relation with each other, they are considered to be independent event and hence they are mutually exclusive.

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Answer:4.62x10^13

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

Round the 208. 8 is closer to 10. so, it would ultimately round up to 210

Answer:

Step-by-step explanation:

Perimeter formula is:

Given:

Substitute and solve for x:

Then find the values of l and w:

Answer:

length is 28m and width is 15m

Step-by-step explanation:

Let length = l

and width = b

According to the given condition,

l = 2b -2

Now,

Perimeter of a rectangle, P = 2(l+b)

According to question

P = 86

2(l+b) = 86

l + b = 43

2b -2 + b = 43

3b = 45

b =15

Therefore, l = 2x15 -2 = 28

So length is 28m and width is 15m

Using the power series expansion of cos(x) to find the sum of this series. Recall that:

cos(x) = ∑[n=0, ∞] (-1)^n (x^(2n)) / (2n)!

Comparing the given series to the power series expansion of cos(x), we have:

(-1)^n 2^(2n) / (2n)! = (-1)^n 42^n (2n)! / (2n)!

Therefore, cos(x) = ∑[n=0, ∞] (-1)^n (x^(2n)) / (2n)! = ∑[n=0, ∞] (-1)^n 2^(2n) / (2n)! = ∑[n=0, ∞] (-1)^n 42^n (2n)! / (2n)!

Setting x = 4 in the power series expansion of cos(x), we get:

cos(4) = ∑[n=0, ∞] (-1)^n (4^(2n)) / (2n)! = ∑[n=0, ∞] (-1)^n 2^(2n) / (2n)!

Therefore, the sum of the given series is cos(4) / 42 = cos(4) / 1764.

Hence, the sum of the series is cos(4) / 1764.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

In order to answer the above question, we may thus state that the type of statistical inference in this scenario is null hypothesis testing.

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of observations has no significance in statistics. The viability of theories is evaluated using sample data. Occasionally referred to as "zero," and represented by H0. The assumption made by researchers is that there may be a relationship between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

The type of statistical inference in this scenario is hypothesis testing.

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Rounded to the nearest tenth, the greatest possible length of the longest side is 25.4 mm, which corresponds to option (C)

Since the triangle is acute, the sum of the squares of the two shorter sides must be greater than the square of the longest side. Using this fact, we can set up the inequality:

$19^2 + (2x)^2 > (3x)^2$

Simplifying, we get:

$361 + 4x^2 > 9x^2$

$5x^2 < 361$

$x^2 < 72.2$

Since x must be positive, we take the square root of both sides:

$x < 8.5$

Therefore, the longest side has a maximum length of:

$3x < 3(8.5) = 25.5$

Rounded to the nearest tenth, the greatest possible length of the longest side is 25.4 mm, which corresponds to answer choice (C).

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The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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1) The line integral value is : ∫F dr = 6

2) The line integral value is : ∫F dr = 6

3) The line integral value is : ∫F dr = 6

Here we are given:

\(F.dr = (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

where\(\vec{F}\) is a conservative field

So,

f(x, y , z) = \(\int\limits (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)

f(x , y , z) = (3zx +2yx) + (2xy - 2zy) + (3xz - 2yz) + c(x , y , z)

\(f(x, y, z) = (6xz + 4xy - 4yz) + c(x, y, z)\)

Now substitute the values of x , y ,z ,

1)

Line segment from (0, 0 , 0) to (1,1 ,1)

∫F dr = f(1,1,1) - f(0,0,0)

= |6 + 4 - 4 |- |0 + 0 - 0|

∫F dr = 6

2)

Line segment from (0,0,0) to (0,0,1) to (1,1,1)

First we take (0,0,0) to (0,0,1)

\(\int _c \vec{F}.\vec{dr}=f(0,0,1)-f(0,0,0) =[6(0)(1)+4(0)(0)-4(0)(1)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\)

∫F dr = 0

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+6 [F.dr = 6\)

3)

Line segment from (0,0,0) to (1,0,0) to (1,1,0) to (1,1,1)

First we take (0,0,0) to (1,0,0)

\(\int _c \vec{F}.\vec{dr}=f(1,0,0)-f(0,0,0) =[6(1)(0)+4(1)(0)-4(0)(0)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\int _{c}\vec{F}.\vec{dr}=0\)

Next we take (1,0,0) to (1,1,0)

\(\int _c \vec{F}.\vec{dr}=f(1,1,0)-f(1,0,0) = [6(1)(0) + 4(1)(1) − 4(1)(0)] - [6(1)(0) + 4(1)(0) — 4(0)(0)] = [0+4-0] - [0+0-0]\int _{c}\vec{F}.\vec{dr}=4\)

Lastly we take (1,1,0) to (1,1,1)

\(F.dr = f(1,1,1) ƒ(1,1,0) = [6(1)(1) +4(1)(1) − 4(1)(1)] - [6(1)(0) + 4(1)(1) — 4(1)(0)] =[6+4-4]-[0+4-0]\int _{c}\vec{F}.\vec{dr}=2\)

Adding the three results we get

\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+4+2\\\\\int\limits F.dr = 6\)

Therefore we see that the Line integral for the three cases comes out to be same between the initial and final points since it is independent of the path taken.

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The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

x + 2y - (5y - 2) = -3

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

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Answer:

Solution,

Radius=3 ft

Height=9 ft

Volume of cone=?

Now,

\(volume \: of \: cone \\ = \frac{1}{2}\pi \: {r}^{2} h \\ = \frac{1}{2} \times 3.14 \times {3}^{2} \times 9 \\ = \frac{1}{2} \times 3.14 \times 9 \times 9 \\ = 84.78 \: {ft}^{3} \)

hope this helps...

Good luck on your assignment

Answer:

V = 84.82 ft³

Step-by-step explanation:

Volume of Cone = \(\pi r^2\frac{h}{3}\)

Where r = 3, h = 9

=> V = \((3.14)(3)^2(\frac{9}{3} )\)

=> V = (3.14)(9)(3)

=> V = 84.82 ft³

Answer:

D

Step-by-step explanation:

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

Answer:

6/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\dfrac{3}{5}\)   ÷ \(\dfrac{1}{2}\)

\(=\dfrac{3}{5}*\dfrac{2}{1}\\\\=\dfrac{6}{5}\\\\\\=1\dfrac{1}{5}\)

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

e= 6

f= 3

Answer:

f= 3

& e= 6

Step-by-step explanation:

hope it's helpful to you

Answer:

the sample space for the first and second cow walking out of the barn is {HH, HG, GH, GG}

Step-by-step explanation:

The sample space for the first and second cow walking out of the barn is the set of all possible combinations of the first and second cow. Since there are two types of cows (Holstein and Guernsey), and the order in which the cows walk out of the barn matters, the sample space has four possible outcomes:

The first cow is a Holstein and the second cow is a Holstein: HH

The first cow is a Holstein and the second cow is a Guernsey: HG

The first cow is a Guernsey and the second cow is a Holstein: GH

The first cow is a Guernsey and the second cow is a Guernsey: GG

The sample space for the 1st and 2nd cow walking out of the barn is {HH, HG, GH, GG}.

A sample space is the set which contains all the possible outcomes of a random experiment. Usually, it is represented using the letter S.

Discrete or finite sample spaces contain finite number of elements.

Event is the subset of sample space.

Here, there are two kind of elements in the experiment, H and G.

So there are 4 possible outcomes.

Holstein walk out of the barn first and then Holstein = HH

Holstein walk out of the barn first and then Guernsey = HG

Guernsey walk out of the barn first and then Holstein = GH

Guernsey walk out of the barn first and then Guernsey = GG

Hence the sample space for this random experiment is  {HH, HG, GH, GG}.

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\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Question

what is the product of 1.2 and 3.4?

Answer: 1.2 * 3.4

there fore answer is  4.08

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have a good day ahead...

: )

The probability that you will have missed your friend is 27.78%

The time of meeting is given as:

Time = 90 minutes (i.e 12pm and 1:30pm)

Your time of arrival is given as:

Arrival = 12:25pm

If you missed your friend, it means that your friend arrives earlier.

So, the time spent by your friend is:

Friend= 12:25 - 12 = 25 minutes

The probability that you will have missed your friend is:

P = 25 minutes/90 minutes

Evaluate

P = 27.78%

Hence, the probability that you will have missed your friend is 27.78%

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Answer:

90.5 degrees

Step-by-step explanation:

The sum of the angle in triangle XYZ is 180 degrees, hence;

m<XYZ + m<YXZ + <XZY = 180

Substitute the given angles

75 + 14.5 + <XZY = 180

89.5+m<XZY = 180

m<XZY = 180 - 89.5

m<XZY = 90.5 degrees

Hence the measure of angle XZY in degrees is 90.5 degrees

Answer:

No

Step-by-step explanation:

the standard form is x^2 +2x+6

A random sample of approximately 1067 registered voters is needed to estimate the proportion of voters planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

To estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95% confidence and a

margin of error no greater than 0.03, we need to determine the sample size. We can use the following formula for

sample size calculation:

\(n = (Z^2 × p × (1-p)) / E^2\)
Where:
- n is the sample size
- Z is the Z-score (1.96 for 95% confidence)
- p is the estimated proportion of voters planning to vote for Chavez
- E is the margin of error (0.03 in this case)

Since we don't know the true proportion of voters planning to vote for Chavez, we can use the most conservative

estimate (p = 0.5) to ensure the required margin of error:

\(n = (1.96^2 × 0.5 × (1-0.5)) / 0.03^2\)
n = (3.8416 × 0.25) / 0.0009
n = 0.9604 / 0.0009
n ≈ 1067

Therefore, a random sample of approximately 1067 registered voters is needed to estimate the proportion of voters

planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

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Answer:

Step-by-step explanation:

first note that 5/4 of a revolution comes out to (5/4)(2π) radians, or

5/8 radian.  Thus, the distance traveled by the point is

s = rФ, where r is the radius and Ф is the angle through which the blade rotates.  Here we have:

s = (224 ft)(5/4)π ft

The false statement among the given options is that "the degrees of freedom for a chi-square test is determined by sample size."

In reality, the degrees of freedom for a chi-square test are determined by the number of categories or groups being compared in the analysis. Specifically, the degrees of freedom are calculated by subtracting 1 from the number of categories. For example, if we are comparing three groups, the degrees of freedom would be 2 (3-1).

As for the other options, a chi-squared distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k+1 degrees of freedom. This is because as the degrees of freedom increase, the distribution becomes more symmetrical.

A chi-square distribution never takes negative values, which is true. This is because it is a squared value, so it can never be negative.

Finally, the area under a chi-square density curve is always equal to 1, which is also true. This is because the total probability of all possible outcomes must equal 1.

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In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.

The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.

Essentially, the successor of a set adds the set itself as a new element to the original set.

This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.

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