Nick has a rectangular garden. Which is 8m long and 6m wide. He put a post at one cornee and every one cornee he puts a post how many post sis he put altogether

Answer:

The answer is 22 if it it has 30 degree and 60 degree for other angles

The answer is \(11\sqrt{2}\) if it is a 45-45-90 case

Step-by-step explanation:

\(g(x) = 4x^2 + 3x\)

So, \(g(x+a) = 4(x+a)^2 + 3(x+a)\), since we're just substituting (x+a) for x.

If we clean that up a bit,

    \(\begin{aligned}g(x+a) &= 4(x+a)^2 + 3(x+a)\\[0.5em] &= 4(x^2+2xa+a^2) + 3x+3a\\[0.5em] &= 4x^2+8xa+4a^2 + 3x+3a\end{aligned}\)

Now putting this all together:

    \(\begin{aligned}g(x+a)-g(x) &= ( 4x^2+8xa+4a^2 + 3x+3a) - (4x^2+3x)\\[0.5em] &= 4x^2+8xa+4a^2 + 3x+3a - 4x^2-3x\\[0.5em]&= 8xa+4a^2 +3a\end{aligned}\)

Remember that \((x+a)^2 = (x+a)(x+a) = x^2+2xa+a^2\)

Answer: 25

Step-by-step explanation:

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Answer:

\(122 - 71 = 51 \\ m < 51\)

Answer:

DBC= 40˚

Step-by-step explanation:

Since we already know what ABC and ABD is we could use these information to get what DBC is.

Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:

ABD+DBC=ABC

Replace ABD and ABC with the number that it is equal to

71˚+DBC=112˚

Move 71˚ to the other side by subtracting

DBC=112˚-72˚

Which is 40˚

So the answer is 40˚

Hope this helped!

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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Answer:

12(m-5)=540

Step-by-step explanation:

m=50 minutes for jogging

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

The p-value for this hypothesis test for a proportion p is 0.039.

What is a random sample?

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left-tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where,

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail is 0.039

Thus,

p = 0.039

Hence, the p-value for this hypothesis test for a proportion p is 0.039.

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The process is capable of producing outputs within the specification limits is true.

There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.

The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.

One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.

It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.

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A.The process is in statistical control.

B.The process is capable of producing outputs within the specification limits.

C.The process is capable of producing outputs within the tolerance limits.

D.The process is capable of producing outputs within the control limits.

E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits

which statement concerning this process is true?

The reflection of the point (-11, 30) across the y-axis is (11, 30)

Reflection of a point is a type of transformation

To find  the reflection of the point (-11, 30) across the y-axis, we proceed as follows.

For any given point (x, y) being reflected across the y - axis, it becomes (-x, y).

So, given the point (- 11, 30), being reflected across the y-axis, we have that

(x, y) = (-x, y)

So, on reflection across the y - axis, we have that the point (- 11, 30) it becomes (-(-11), 30) = (11, 30)

So, the reflection is (11, 30).

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Answer:

182 + 5t \(\geq\) 500

Step-by-step explanation:

Step-by-step explanation:

step 1. LCD of 1/(5n) and 1/3 is 15n.

Answer:

m<A is 126 degrees

Step-by-step explanation:

Assuming that the whole entire quadrilateral is 360 degrees, I can say that part A is 126 degrees.

Answer:

$33.28

Step-by-step explanation:

Find the cost of 1 pound of peach by divind by 3 then times that cost by 8.

Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13

The statement "The average boy plays 6 hours more per week than the average girl" is true based on the given data sets.

What is a true statement about the data sets of hours of video game time per week for teen boys and girls based on Raj's survey results?

The answer states that "The average boy plays 6 hours more per week than the average girl" based on the given data sets.

This implies that, on average, teen boys spend more time playing video games each week compared to teen girls.

The statement is derived from comparing the averages of the two data sets and finding a difference of 6 hours.

It suggests that, overall, boys in Raj's class are spending more time on video games than girls.

It's important to note that this statement doesn't provide information about individual cases or the distribution of video game time within each group.

The difference in average hours could be influenced by various factors such as personal preferences, gaming habits, or other external variables.

It is crucial to consider the limitations of this statement and analyze the data more comprehensively to gain a complete understanding of the patterns in video game time for teen boys and girls.

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Answer:

Vajsjke

Step-by-step explanation:

ggzodxkdfdjhs

We know that the product of lengths of the same chord is equal to the product of the other chord intersecting it.. So;

\( \purple{ \mathfrak{x \times 6 = 12 \times 5}}\)

\( \large \purple{ \mathfrak{x = \frac{12 \times 5}{6}}}\)

\( \large \purple{ \mathfrak{x = \frac{ \cancel{12} \times 5}{ \cancel6}}}\)

\( \large \purple{ \mathfrak{x = 2 \times 5}}\)

\( \large \boxed{ \red{ \mathfrak{x =10}}}\)

Mrs. Mathewson can serve 4 servings of orange juice to her guests.

What is the quart?

A quart is just one unit of volume in the US customary and imperial systems of measurement that is defined relative to the gallon.

If there is 1 quart of orange juice and Mrs. Mathewson would like to serve her guests 1/4 of a quart of orange juice, then we can find the number of servings by dividing the total amount of orange juice by the serving size.

The number of servings can be found by the following calculation:

1 quart / (1/4) quart/serving = 4 servings

Hence, Mrs. Mathewson can serve 4 servings of orange juice to her guests.

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Step-by-step explanation:

sorry that's all i know hehe

Using the z-distribution, as we have the standard deviation for the population, it is found that it does not appear that there is a difference.

Given,

mean of 33.56

standard deviation of 5.20

So,

At the null hypothesis, it is tested that there is no difference, that is, the mean of the distribution of the differences is of 0, hence:

\(H_{0} : u = 0\)

At the alternative hypothesis, it is tested if there is a difference, hence:

\(H_{1} : u\) ≠ 0

Test statistic,

z = x - u /s

x is the mean of the distribution of differences.

u  is the value tested at the null hypothesis.

s is the standard error.

Here the parameters are as follows:

u = 1.11 , s = 4.28

Hence,

z = 1.11 - 0 / 4.28

z = 0.26

Now,

Decision:

Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05, the critical value is of,

\(|z*| = 1.96\)

There does not appear to be any difference between Oven A and Oven B with respect to the mean percentages of defective chips produced .

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The minimum dimensions to minimize the amount of material is 15.87 x 15.87 x 15.87 inch.

We need to know about the minimum function to solve this problem. The minimum function can be defined as the minimum value of the variable. It can be calculated by the derivative of the function. The minimum function can be written as

f'(s) = 0

where f'(s) is the derivative function

From the question above, the given parameter is

V = 4000 inch³

The cubic volume can be written as

s² x h = 4000

where s is the length of the base area and h is the height of the box.

the minimum value of the  box refer to its surface area, hence

f(s) = 4sh + 2s²

f'(s) = 4h + 4s

4h + 4s = 0

h = s

It means that the length of the base area and the height must have the same dimension. The minimum volume should have a cube shape

V = s³

s³ = 4000

s = 15.87 inch

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The vertical difference in height between

i. A and B = 1.55

ii. B and C = 1.27

iii. A and C. = 2.82

the angle of elevation from A to C

The vertical difference in height is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The directions describes a right angle triangle o

A and B

sin 15 = vertical difference / 6

vertical difference = 6 sin 15

vertical difference = 1.55

B and C

sin 25 = vertical difference / 3

vertical difference = 3 sin 25

vertical difference = 1.27

A and C

A to B + B to C

= 1.55 + 1.27

= 2.82

angle of elevation from A to C

sin x = 2.82 / 5

x = arc sin (2.82/5)

x = 34.33 degrees

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If the car goes to the top of spike's peak and back, the mileage of the car is 16 miles per gallon

The mileage of car in uphill = 12 miles per gallon

The mileage of car in downhill = 24  miles per gallon

The total distance traveled in up hill = 48 miles

The number of gallon of gas used = 48/12

= 4 gallon

The total distance traveled in down hill = 48 miles

The number of gallon of gas used = 48 / 24

= 2 gallon

Total distance traveled = 48 + 48

= 96 miles

Total number of gallons of gas = 4 + 2

= 6 gallon

The mileage = Total distance / The number of gallon

= 96 / 6

= 16 miles per gallon

Therefore, the mileage of the car is 16 miles per gallon

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We have that, given the curve x = e5y, 0 ≤ y ≤ 2, it rotates around the y axis, we are going to obtain the following integrals

Part A: State, but do not evaluate, an integral for the surface area resulted by integrating with respect to x. Integrating with respect to x, the formula for finding the surface area of a curve rotated about the y axis is:

\(S=2\pi \int abxf(y)\sqrt{[1+({f(x))^2}']}dx\)

Since the curve revolves around the y-axis, the equation will have the form x = f(y). Therefore, x = e5yTaking the derivative of the equation, we have:

\({f(y)}' = 5e5y\)

multiplying by

\(f(y)2\pi \intabxf(y)\sqrt{[1+(f′(x))^2]}dx=2\pi \int 02e^5y(2\pi(5e5y)\sqrt{[1+(5e^5y)^2]}dx\)

Integrating and substituting the limits are obtained;

\(2\pi \int 02e^5y( 2\pi(5e^5y)\sqrt{[1+(5e5y)^2}]dx = 2 \pi \int 02e^5y \sqrt{(1+ 25e10y)}dy\)

Part B: Establish, but do not evaluate, an integral for the surface area resulted by integrating with respect to y. Integrating with respect to y, the formula for finding the surface area of a curve rotated about the y-axis is:

\(S=2\pi \int abxf(y)\sqrt{[1+(f′(x))^2}] dx\)

Since the equation is given as \(x = e^5y\), we will convert it to \(y = f(x)\) by taking the natural logarithm of both sides.

\(ln x = ln(e)^5y5 = 5y\)

So, the formula is \(y = 1/5 ln(x)\) using this formula as f(x) in the surface area formula;

\(S = 2\pi \int ab1/ 5ln(x) \sqrt{[1+((1 /5x)\\2}]dx.\)

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Answer:

depends on how many actives there are and maybe on if they preferred one over another it would get more time

Step-by-step explanation: