What is the standard deviation of 7?

Answer:

A) 145.3 cm^2

Step-by-step explanation:

The formula for the area of a circle is A = π r^2

So to find the area we would plug the radius of 6.8 into the formula

Area = π (6.8)^2

Area = (3.14) (6.8)^2

Area = 145.27

Area = 145.3

Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Answer:

The answer is A

Negative 21 divided by negative 1.4

Step-by-step explanation:

Answer:

A its probably wrong but tell me if is

Step-by-step explanation:

With a random sample of 20 ladybugs, the probability of seeing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

Since the sample size is 20: we need to use a t-distribution instead of a normal distribution. We are not given the population standard deviation so we need to use the sample standard deviation as an estimate.

Assuming that the sample is representative of the population, we can assume that the population distribution is approximately normal due to the central limit theorem.

To begin, we must compute the sample mean and standard deviation:

Next we need to calculate the standard error of the mean (SEM):

Next we need to standardize the range of values using the formula: t = (x - μ) / SEM, where x is the sample mean, μ is the population mean (which is also equal to x in this case) & SEM is the standard error of the mean.

Using a t-distribution table or calculator with 19 degrees of freedom (n-1), the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

This question should be provided as:

1. American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 644000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability?

Select one:

2. Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places.

3. Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

The value of x is  = -5, -3

Answer:

2 quadrant

Step-by-step explanation:

i think

Answer:

Quadrant 2...

Answer: 12

Step-by-step explanation:

The Accounting Rate of Return (ARR) for the new expansion project is 44.95%. The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment.

The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment. ARR is calculated by dividing the average accounting profit (before tax and interest) by the average investment. It is also known as the average rate of return, which is the average net income of the investment over its life, divided by the amount of the initial investment. In other words, ARR is the profit per year, divided by the initial investment, expressed as a percentage. It helps businesses to identify the potential return of their investment and make better decisions about whether to pursue a project or not.

In the given question, Transload Pty Ltd, a haulage company, has tasked you with analyzing and evaluating a new expansion project’s profitability. To calculate the Accounting Rate of Return, the first step is to calculate the average accounting profit of the project. The average accounting profit is the sum of the cash inflows over the life of the project, minus the depreciation expense, divided by the life of the project. In this case, the life of the project is seven years. Using the figures given in the question, we can calculate the average accounting profit:

Year 1: R1 150 000

Year 2: R1 270 000

Year 3: R1 300 000

Year 4: R1 210 000

Year 5: R1 320 000

Year 6: R1 325 000

Year 7: R1 325 000

Total cash inflows over the life of the project = R9 900 000

Average accounting profit = (R9 900 000 - R857 142*) / 7

= R1 348 661*Depreciation:

R6 000 000 / 7 years = R857 142

The next step is to calculate the average investment for the project. In this case, the average investment is the initial investment minus the scrap value, divided by two. The scrap value is assumed to be zero in this case because it was not provided in the question.

Average investment = (R6 000 000 - 0) / 2= R3 000 000

Finally, the Accounting Rate of Return (ARR) can be calculated by dividing the average accounting profit by the average investment, expressed as a percentage:

ARR = (R1 348 661 / R3 000 000) x 100%

ARR = 44.95%

Therefore, the Accounting Rate of Return (ARR) for the new expansion project is 44.95%.

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Answer:

The standard deviation of the critical path = 5

Step-by-step explanation:

The formula for the standard deviation of a critical path is given as:

Standard deviation of a path

=√(sum of variances of activities on path)

Variance = (Standard deviation)²

In the above question, we are given:

Standard deviation of 1, 2, 4 and 2 days

Standard deviation of a critical path

=√(sum of variances of activities on path)

= √1² + 2² + 4² + 2²

= √1 + 4 + 16 + 4

= √25

= 5

Answer:

Go to the bottom of that problem and click save for later

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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This highlights the importance of having accurate testing methods and procedures in place to minimize the occurrence of such errors and to ensure the safety of consumers.

Food inspectors play a crucial role in ensuring the safety of food products by conducting hypothesis tests. In this context, the null hypothesis (H0) states that the food is safe, and the alternative hypothesis (Ha) states that the food is not safe. The scenario you described, where the sample suggests the food is safe but it actually is not, represents a Type II error. In a Type II error, the null hypothesis (H0) is incorrectly accepted when it should have been rejected in favor of the alternative hypothesis (Ha). In other words, the food is deemed safe based on the sample when, in reality, it is unsafe. To summarize, in the context of food inspection, a Type II error occurs when a sample incorrectly indicates that a food product is safe despite it actually being unsafe.

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Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

The length of the third side of the triangle in terms of x is √[9 + (x + 7)^2]

The complete question is added as an attachment

Next, we apply the following Pythagoras theorem.

This is represented as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

So, we have:

Hypotenuse^2 = 3^2 + (x + 7)^2

This gives

Hypotenuse^2 = 9 + (x + 7)^2

Take the square roots

Hypotenuse = √[9 + (x + 7)^2]

Hence, the length of the third side of the triangle in terms of x is √[9 + (x + 7)^2]

The three main inverse trig functions are

cot(theta), cosec(theta) and sec(theta)

Using the formulas, we have:

cot(theta) = 3/[x + 7]

cosec(theta) = √[9 + (x + 7)^2]/[x + 7]

sec(theta) = √[9 + (x + 7)^2]/3

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Answer:

x = 18.1

Step-by-step explanation:

1) 12x - 5 + 8x + 3 = 360

2) Subtract 5 from both sides

3) Add 2 on both sides

4) Divide both sides

5) x = 18.1

We were told that the salary, t years after 2015 is given by the function,

S(t) = 3100t + 56000

When considering 2017, the number of years, t from 2015 is 2017 - 2015 = 2

We would substitute t = 2 into the function and find S(2)

Thus,

S(2) = 3100 x 2 + 56000 = 6200 + 56000 = 62200

When considering 2020, the number of years, t from 2015 is 2020 - 2015 = 5

We would substitute t = 2 into the function and find S(2)

Thus,

S(5) = 3100 x 5 + 56000 = 15500 + 56000 = 71500

Thus, we can say that

when

x1 = 2, y1 = 62200

when x2 = 5, y2 = 71500

Recall,

slope or average rate of change = (y2 - y1)/(x2 - x1)

average rate of change = (71500 - 62200)/(5 - 2) = 9300/3

average rate of change = 3100

The last option is correct

Answer:

1.28

Step-by-step explanation:

bec. it is

The critical z-value is 1.2816 (left-tailed value) and critical z value is -1.2816 (right-tailed value)

A z-score is the number of standard deviations from the mean value of the reference population.

Given that, α = 0.90,

Since α = 0.90, the area under the curve is 1 - α → 1 - 0.90 = 0.1

For right-tailed value =  -1.2816

For left-tailed value = 1.2816

Hence, The critical z-value is 1.2816 (left-tailed value) and critical z value is -1.2816 (right-tailed value)

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The correct decimal expansion of 50 is; (5× 10) + (0× 10⁰)

According to the question;

The correct decimal expansion of 50 can be evaluated by;

First, we must assign indices of 10 accordingly.

Hence; we have;

Ultimately, the correct decimal expansion of 50 is; (5× 10) + (0× 10⁰).

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Answer:

80

Step-by-step explanation:

180 - 100 = 80

Answer:

d and h are the same so you will have 200cm divide that by 90 and covert the decimal into a fraction

Step-by-step explanation:

trust me i got it right

The Probability of red light is 0.3

P(red) = 0.3

The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.

P(exactly three get stopped by red light)=0.25

The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25

A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

The occurrence,

p= probability of a red light

 =\(\frac{15}{15+5+30}\)

 = \(\frac{15}{50}\)

 = 0.3

Hence, Probability of getting red light be,

P (red)= 0.3

Now, the Binomial distribution formula,

Probability=( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

where, r = number of times for a specific outcome within n trials

\(_r^nC\)   = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trial

According to question,

          = 1- 0.3

          = 0.7

Now using the formula, ( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

P( exactly 3  get stopped) = ( \(_3^8C\))\(\;(0.3)^{3} \;(0.7)^{8-3}\)

                                            = \(\frac{8!}{3!(8-3)!}\) \((0.027) \; (0.7)^{5}\)

                                           =  \(\frac{8!}{3!(5)!}\)\((0.027) \; (0.16807)\)

                                           = \(\frac{8 * 7 * 6 }{3 * 2}\) x 0.027 x 0.16807

                                           = 56 x 0.00453789

                                           = 0.25412184

                                          ≈ 0.25

Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.

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Answer:

g

(

3

−

2

x

)

=

12

x

2

−

36

x

+

29

Step-by-step explanation:

give me the brainiest :)

Answer:

What does 134 x-7 equal?

134 x -7

Step-by-step explanation:

You're welcome.

Answer:  =-1/2x+-1/2y

Step-by-step explanation:

Answer: 454.5

Step-by-step explanation:

-2, 20, -200, 2,000 ==> 4 numbers

Mean: (-2+20+(-200)+2000)/4=

(18-200+2000)/4=

(-182+2000)/4

1818/4=454.5

The problem is asking for two function equations of the "quadratic" graph, the factored form equation and the vertex form equation.

Vertex form equation) This functional equation has always the form

It is called vertex form for (h,k) is the vertex of the parabola. Intuitively, the vertex of a parabola is its "starting" point, the point from where the parabola opens its "arms".

In this case, as you can see in the picture above, the vertex is

Then,

Thus our equation becomes

Our task now is to find the constant a. Note that the origin (0,0) is part of our function, that is

This (equality) is the same as

Then

Factored form equation) This equation is easier. It has the form

where r_1 and r_2 denote the roots of the parabola. They are just the x-intercepts of the function.

In this case, as you can see in the picture above,

Then, our equation becomes

For the vertex of the parabola is clearly a point of the function, we have

So

Let's solve this for b:

The vertex form equation of f(x) is

(Be careful! In the third box, you must put -8 not just 8. In the second one, you must put just 2 without the minus sign)

The factored form equation of f(x) is

When two straight lines or rays intersect at a single endpoint, an angle exists formed. If 2 and 3 exists complements, and m2= 55°, then m3 = 90 - 55 = 35 degrees.

When two straight lines or rays intersect at a single endpoint, an angle exists formed.  The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Complements sum to 90 degrees.

If 1 and 2 are complements and m1 = 35°, then

m2 = 90 - 35 = 55 degrees.

Now if 2 and 3 are complements, and m2= 55°,

then m3 = 90 - 55 = 35 degrees.

The complete question is:

Given: 1 and 2 are complements, 2 and 3 are complements, and m1 = 35°. Prove: m3 = 35° Complete the missing parts of the paragraph proof. By then, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is the degree.

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Answer:

A to B for y: -6

A to B for x: 2

Step-by-step explanation:

to figure out y, you subtract the first “y” from the second “y”

0-6= -6

to figure out x, you subtract the first “x” from the second “x”

3-1=2