2. What is the midpoint of (5,3) and (-3,-7)?

The solution is;6 + 8x − 3y = 11.

Given equation is 8x − 3y = 5To find the value of 6 + 8x − 3y, we need to simplify the expression as follows;6 + 8x − 3y = (8x − 3y) + 6 = 5 + 6 = 11Since the equation is true, the value of 6 + 8x − 3y is 11. Therefore, the solution is;6 + 8x − 3y = 11.

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The solution for the given addition is -3 - 11/24

Here we want to find the addition between the fraction -5/6 and the mixed number (-2 - 5/8).

We can leave the whole part alone and just add the two fractional parts:

(-5/6) + (-2 - 5/8)

= -2 + (-5/6 - 5/8)

Now we need to find a common denominator, which can be:

6*4 = 24

8*3 = 24

Then:

= -2 + (-5/6 - 5/8) = -2 + (-20/24 - 15/24)

= -2 + (-35/24) = -2 - 24/24 - 11/24 = -3 - 11/24

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Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

Answer:

An engineer computes the ratio of these two measurements.

• fuel efficiency, measured in miles per gallon

• speed, measured in miles per hour

Step-by-step explanation:

Answer:

z=3

Step-by-step explanation:

Distribute: 4z-8=4

Add 8: 4z=12

z=3

Landing Pages 1, 2, and 3 (specifically /backpack/medium/orange, /duffle/leather/blue, and /bag/gym/black) have the highest conversion rate of 5%, while /tote/canvas/white has the lowest conversion rate of 3%.

The conversion rate is calculated by dividing the total number of sales by the total number of clicks for each landing page.

  Total Clicks: 1000

  Total Sales: 50

   Total Clicks: 800

  Total Sales: 40

   Total Clicks: 1200

   Total Sales: 60

   Total Clicks: 1500

   Total Sales: 45

To calculate the conversion rate,

Conversion Rate = (Total Sales / Total Clicks) * 100

Now, the conversion rates for each landing page:

Conversion Rate for Landing Page 1:

= (50 / 1000) x 100 = 5%

Conversion Rate for Landing Page 2:

= (40 / 800) x 100 = 5%

Conversion Rate for Landing Page 3:

= (60 / 1200) x 100 = 5%

Conversion Rate for Landing Page 4:

= (45 / 1500) x 100 = 3%

From the calculations, we can see that Landing Pages 1, 2, and 3 all have the same conversion rate of 5%. However, Landing Page 4 has a slightly lower conversion rate of 3%.

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Landing Pages 1, 2, and 3 (specifically /backpack/medium/orange, /duffle/leather/blue, and /bag/gym/black) have the highest conversion rate of 5%, while /tote/canvas/white has the lowest conversion rate of 3%.

The conversion rate is calculated by dividing the total number of sales by the total number of clicks for each landing page.

Landing Page 1 (/backpack/medium/orange):

 Total Clicks: 1000

 Total Sales: 50

Landing Page 2 (/duffle/leather/blue):

  Total Clicks: 800

 Total Sales: 40

Landing Page 3 (/bag/gym/black):

  Total Clicks: 1200

  Total Sales: 60

Landing Page 4 (/tote/canvas/white):

  Total Clicks: 1500

  Total Sales: 45

To calculate the conversion rate,

Conversion Rate = (Total Sales / Total Clicks) * 100

Now, the conversion rates for each landing page:

Conversion Rate for Landing Page 1:

= (50 / 1000) x 100 = 5%

Conversion Rate for Landing Page 2:

= (40 / 800) x 100 = 5%

Conversion Rate for Landing Page 3:

= (60 / 1200) x 100 = 5%

Conversion Rate for Landing Page 4:

= (45 / 1500) x 100 = 3%

From the calculations, we can see that Landing Pages 1, 2, and 3 all have the same conversion rate of 5%. However, Landing Page 4 has a slightly lower conversion rate of 3%.

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Complete question is attached below.

Based on the sample data and the hypothesis test, Bill McWaffle should not take a public position on the issue of gambling legalization.

Using the normal approximation, we can calculate the test statistic, which follows a standard normal distribution under the null hypothesis. The test statistic is given by:

Z = (p - p₀) / √(p₀(1 - p₀) / n),

where p₀ represents the proportion specified under the null hypothesis, which is 0.65 in this case.

Substituting the values into the formula, we have:

Z = (0.34 - 0.65) / √(0.65(1 - 0.65) / 200) ≈ -9.91.

Looking up the z-value in a standard normal distribution table or using statistical software, we find that the critical value for a one-sided 99 percent confidence level is approximately 2.33.

Since the test statistic (Z = -9.91) is much smaller (in absolute value) than the critical value (2.33), we have strong evidence to reject the null hypothesis. This means that the proportion of constituents in favor of legalization is significantly less than 65 percent.

This decision ensures that he does not risk alienating a large segment of voters, as the data does not provide sufficient evidence to support a clear majority opinion of at least 65 percent in favor of legalization.

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Answer:

look below

Step-by-step explanation:

first distribute 3/4 into (x-8)= 3/4x-6

3/4x-6=12

then add 6 to both sides to get rid of -6

3/4x=18

Now multiply 4 times 18 to get rid of division (72)

now you are left with 3x=72, so you now divide by 3 and you get x=24

Answer:

The correct answer is C

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

(2,17)

Step-by-step explanation:

This is because x is the input and y is the output. All you have to do is create a value for x the substitute it in the equation. Next solve for y 0.5 times 2 is 1, plus 16 is 17. Then just put your values in an order pair.

Answer:

8,20

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

216/3 = 72

72/18 = 4

The coordinates of point T exists (0,5) and the midpoint of ST is (5,-2) then the coordinates of point T is S(10, -9).

Use midpoint formula and assume S(x, y):

(0 + x)/2 = 5

⇒ x / 2 = 5

⇒ x = 10

(5 + y)/2 = -2

⇒ 5 + y = -4

⇒ y = -4 - 5

⇒ y = -9

The complete question is:

The coordinates of point T are (0,5). The midpoint of ST is (5,-2). Find the coordinates of point S.​

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we need to understand the concept of probability and how it is related to the mean and emissions. Probability is the likelihood or chance of an event occurring.

In this case, the event is the number of alpha particle emissions of carbon-14 counted by a Geiger counter per second. The mean is the average value of these emissions. The question asks us to find the probability that it takes no longer than 1 second for the second count.

This means that we need to find the probability of observing a count of alpha particle emissions equal to or less than the mean value of 25 in one second.

We can use the Poisson distribution to calculate this probability. The Poisson distribution is used to model the number of occurrences of an event in a given time period or space.

It assumes that the occurrences are independent and random, and that the mean and variance of the distribution are equal. In this case, the mean and variance are both 25.

Using the Poisson distribution formula, we can calculate the probability of observing a count of alpha particle emissions equal to or less than 25 in one second.

The formula is: P(X ≤ 25) = e^(-λ) * Σ(λ^k / k!), where λ is the mean value, k is the number of occurrences, and Σ is the sum from k=0 to k=25. Plugging in the values, we get: P(X ≤ 25) = e^(-25) * Σ(25^k / k!) Using a calculator, we can evaluate this sum and get: P(X ≤ 25) = 0.3841.

Therefore, the probability of observing a count of alpha particle emissions equal to or less than 25 in one second is 0.3841 or 38.41%. In conclusion,

the probability of observing a count of alpha particle emissions equal to or less than the mean value of 25 in one second is 0.3841. This means that there is a 38.41% chance of observing this event in one second.

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Answer:

whatttttt6 whattttt whattt

59.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

13

Step-by-step explanation:

5^2 + 12^2 = Y

Sqrt Y = X

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

Answer:

The second option

Step-by-step explanation:

Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.

The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.

To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.

At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.

By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.

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The Maclaurin series for f(x) = x*cos(6x) is approximately x - 6x² - 18x³ up to the third degree.

To obtain the Maclaurin series for the given function f(x) = x*cos(6x), we first need to find the nth derivative of the function and then use the formula for the Maclaurin series.

The Maclaurin series for a function is given by:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

For f(x) = x*cos(6x), let's find the first few derivatives:

f(x) = x*cos(6x)
f'(x) = cos(6x) - 6x*sin(6x)
f''(x) = -12*cos(6x) - 36x*sin(6x)
f'''(x) = -108*cos(6x) + 216x*sin(6x)

Now, let's find their values at x = 0:

f(0) = 0
f'(0) = cos(0) - 6*0*sin(0) = 1
f''(0) = -12*cos(0) - 36*0*sin(0) = -12
f'''(0) = -108*cos(0) + 216*0*sin(0) = -108

Now we can write the Maclaurin series for f(x) up to the third degree:

f(x) ≈ 0 + 1*x + (-12/2!)x² + (-108/3!)x³

f(x) ≈ x - 6x² - 18x³

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Answer:

A

Step-by-step explanation:

To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have two circles:

Circle A has a center of (2, 3) and a radius of 5

Circle B has a center of (1, 4) and a radius of 10

The standard circle's equation can be written as:

(x - h)² + (y - k)² = r²

The equation for circle A:

(x - 2)² + (y - 3)² = 5²

The equation for circle B:

(x - 1)² + (y - 4)² = 10²

To show that circle A is similar to circle B:

It is required to perform the geometric transformation:

Dilate circle A by a scale factor of 2.

The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.

Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

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Answer:

256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 to 4th power=

4^4 or 4x4x4x4=

4x4= 16

4x4x4= 64

4x4x4x4= 256    <===== Answer

Answer:

Rotation does not change lengths.

Answer:

x = 14

2x = 28

6x = 84

Step-by-step explanation:

6x = 180 - 124 + 2x

4x = 56

x = 14

11423 be the number of dogs are at the rescue center.

An expression is combination of variables, numbers and operators.

A pet rescue center is creating a monthly food budget.

The center currently has two-thirds as many dogs as cats.

Each animal is fed 2 cans of food a day.

Dog food costs $0.08 per can, cat food costs $0.05  per can

The rescue center has budgeted a total  2581.8 of  for food for this .

2(0.08)x+2(0.05)y= 2581.8

Let x be the number of dogs.

cats be y.

2/3x =y

2(0.08)x+2(0.05)2/3x= 2581.8

0.16x+0.066x=2581.8

0.226x=2581.8

x=11423

Hence, 11423 be the number of dogs are at the rescue center.

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Answer:

136 cm^2

Step-by-step explanation:

The formula for the surface area of a pyramid is SA = B + 1/2Pl, where B stands for the area of the base, P stands for the perimeter (of the base), and l stands for the slant height.

The perimeter of the triangle is three sides that are equal because this is an equilateral triangle. The base of a triangle is 1/2 base times height.

SA = B + 1/2Pl

SA = 1/2(8*7) + 1/2(8+8+8)(9)

SA = 136 cm^2

Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.