The diameter of the circle above is 6cm what is the circumference of the circle?

The value of z that should be used when making a 93% confidence interval for p is Z=1.81 that is option D.

The z score is a measure of how many standard deviations a raw score is below or above the population mean. It will be positive if the value is more than the mean and negative if it is less than the mean. It is often referred to as the standard score. It represents the number of standard deviations an entity has from the mean.

To utilise a z-score, both the mean and the population standard deviation must be known. The z score calculates the likelihood of a score occuring within a standard normal distribution. It also allows us to compare scores from various samples. A table for the values of, representing the values of the cumulative distribution function of the normal distribution, is known as a

At 93% confidence, the significance level is,

ɑ= 1-0.93

ɑ= 0.07

Divide alpha by 2,

ɑ/2= 0.07/2= 0.035

Now, from the ‘normal probability’ table, the z value corresponding to the inverse probability of 0.035 is 1.81.

As a result, the z value is 1.81 at 93% confidence level.

z= 1.81

The value for z score is 1.81

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Answer: Um

Step-by-step explanation:

The correct answers are:True, True, False.

The first statement is true. The initial investment is represented in the formula as the coefficient of the growth factor\((1+0.05)^t\).

The second statement is true. The growth factor in the formula is (1+0.05), which represents a 5% increase or a multiplier of 1.05.

The third statement is false. The annual interest rate is not 50%. The growth factor (1+0.05) represents a 5% increase, but the actual annual interest rate is 5%, not 50%.

Therefore, the correct answers are:

True

True

False

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Therefore, the series `sum_(n=1)^(infty) 6*(-4)^n/(n!)` is conditionally convergent.

The series to determine is:\(`sum_(n=1)^(infty) 6*(-4)^n/(n!)`\)

Here, \(`n! = n*(n-1)*(n-2)*...*2*1`\)is the factorial of n. It is defined as the product of all positive integers from 1 to n.

Let's first check the convergence of the absolute value of the series.

Since all terms of the series are positive, the absolute value of the series is the series itself.

\(`sum_(n=1)^(infty) |6*(-4)^n/(n!)| = sum_(n=1)^(infty) 6*(4/3)^n/n!`\)

The ratio of successive terms is:\(`|a_(n+1)/a_n| = 4/3`\)

The limit of the ratio of successive terms is:`\(lim_(n- > infty) |a_(n+1)/a_n| = 4/3 < 1`\)

Since the limit of the ratio of successive terms is less than 1, the series converges absolutely.

Therefore, the series is absolutely convergent.

Let's now check the convergence of the series.

\(`sum_(n=1)^(infty) 6*(-4)^n/(n!) = 6 + 96 - 288/2 + 1536/6 - 12288/24 + ...`\)

The series can be rewritten as:\(`sum_(n=1)^(infty) (-1)^(n+1) 6*(4)^n/(n!)`\)

The series is the alternating harmonic series \(`sum_(n=1)^(infty) (-1)^(n+1)/n`\)multiplied by 6*4^n.

The alternating harmonic series is conditionally convergent and its absolute value is the harmonic series, which diverges.

The correct option is conditionally convergent.

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Answer:

$9.00

Step-by-step explanation:

18÷2=9

have a good weekend

Since Latasha looked at 3 websites every 15 hours, at that rate, it will take Latasha 25 hours to look at 5 websites.

The unit rate shows the ratio between two values.

The unit rate is the quotient of two numbers, computed using the division and multiplication operations.

The number of websites Latasha looked in 15 hours = 3

The time it will take Latasha to look at 5 websites = 25 (15/3 x 5)

Thus, based on the rate, we can conclude that Latasha uses 5 hours to look at one website.

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Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

Carina has developed c) explicit knowledge, which refers to knowledge that is codified, easily transferable, and can be communicated through various mediums such as manuals, checklists, and flowcharts.

Her well thought-out process documents and checklists are examples of explicit knowledge.Additionally, Carina possesses tacit knowledge, which is personal knowledge gained through experience and is difficult to codify or communicate. Her experiential knowledge gained through on-the-job learning is an example of tacit knowledge.

However, Carina's informal training tools such as checklists and flowcharts can also be considered as on-the-job learning methods that have helped her acquire both explicit and tacit knowledge over time.

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Answer:

37.699km

Step-by-step explanation:

C=piDor2piR

D=2R(6×2)=12

C=22/7×12or2×22/7×6

ans=37.699

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

The shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building is 8.94 feet in length.

To find the length of the shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building that is 4 feet away, we can use the Pythagorean theorem.

Step 1: Draw a right triangle where the vertical leg represents the height of the fence (8 feet) and the horizontal leg represents the distance between the fence and the building (4 feet). The hypotenuse of this triangle will represent the length of the ladder.

Step 2: Apply the Pythagorean theorem: a² + b² = c², where a and b are the legs of the right triangle and c is the hypotenuse (the ladder length).

Step 3: Plug in the values for a and b: (8 feet)² + (4 feet)² = c².

Step 4: Calculate the square of each leg: 64 + 16 = c².

Step 5: Add the results: 80 = c².

Step 6: Take the square root of both sides to find c: √80 = c.

Step 7: Round the answer to two decimal places: c ≈ 8.94 feet.

So, the shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building is approximately 8.94 feet in length.

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Answer:

your method is wrong, final answer should be -3

Step-by-step explanation:

symbols are used in the order of bracket first, then multiplication and division, then addition and subtraction

i.e.

3 - 2(1 + 2)

= 3 - 2(3)

= 3 - 6

= -3

Answer:

=-3

Step-by-step explanation:

A function, g, is defined by g : x --> 2x -7. The value of the m = 6 is the solution of the given equation.

Given, a function, g, is defined by g : x --> 2x -7.

We are asked to find the value of m if g(m) = 5.

What is a function? A function is a rule that takes a set of inputs and assigns to each a unique output. In other words, a function is a relation between two sets, where the elements of the first set are related to the elements of the second set. A function is denoted by y = f(x), where y is the output and x is the input.

The given function is g : x → 2x − 7. We need to find m if g(m) = 5. It means that when we substitute m in the given function, we get an output of 5.

So, 2m - 7 = 5 Adding 7 on both sides 2m = 12 Dividing by 2, we get m = 6.

Therefore, m = 6 is the solution of the given equation.

To find m if g(m) = 5, we can substitute g(m) in the function g.

Therefore, 2m - 7 = 5 Adding 7 on both sides, we get2m = 12 Dividing by 2, we get m = 6

Therefore, m = 6 is the solution of the given equation.

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Answer:

1) -20.5

-8

4.5

13

2) 9

4

-1

-6

3) 2

4

6

8

Step-by-step explanation:

plug in the x values, then use pemdas

The equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).

What is slope point form of the line?

A line's point slope form equation is y - y1 = m. (x – x1). Consequently,

y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (-4, 6) and having slope 3/4.

We know that the equation of line passes through the point \((x_1, y_1)\) and having slope m is,

\(y-y_1=m(x-x_1)\)

Here, \((x_1, y_1) = (-4, 6)\)  and slope \(m = \frac{3}{4}\)

Plug the values in the above equation.

⇒

\(y-6=\frac{3}{4}(x-(-4))\\ y - 6 = \frac{3}{4}(x + 4)\\ y-6=\frac{3}{4} x + 3\\y = \frac{3}{4}x+3+6\\ y=\frac{3}{4}x+9\)

Hence, the equation of line in slope intercept form is, \(y=\frac{3}{4}x+9\).

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Answer:

The answer is 44. 10% more than 40 is 40 + 4 = 44.

Step-by-step explanation:

To find 10% more of a number, you can simply multiply the number by 10%. In this case, 10% of 40 is 40 * 0.1 = 4. Therefore, 10% more than 40 is 40 + 4 = 44.

Answer:

110/100 × 40 = 44 ( remember this is not the only ans)

all numbers must be greater than 44

Answer:

Step-by-step explanation:

5x −11+11<-11+11

5x<0

5x/5<0/5

x<0

4x+2 -2 >14 -2

4x>12

4x/4>12/4

x>3

there both open not closed

hope this helps

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

23

Step-by-step explanation:

Answer:B

Step-by-step explanation:

5/8 of 48 is 30.

1/3 of 48 is 16.

So 30 people are spinning and 16 are lifting weights.

48-30-16=2

There are two people left out of 48.

2/48 reduces to 1/24.

The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Suppose we're specified that:

Then the z-statistic for this data is found as:

\(Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\)

For this case, we've got:

Thus, we get:

\(Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30\)

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

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According to the given data and applying it's formula, the z-statistic is of z = -5.30.

It is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are given by:

\(\overline{x} = 295, \mu = 310, \sigma = 20, n = 50\)

Hence, the z-statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}\)

z = -5.30.

The z-statistic is of z = -5.30.

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Answer:

39

Step-by-step explanation:

Let the number be x.

The quotient of x and 3 is 13.

x/3 = 13

Multiply both sides by 3.

x = 13 × 3

x = 39

Answer:

39

Step-by-step explanation:

The quotient of a number and 3 is 13. That's the same as saying n/3 = 13.

IF you multiply both sides of the equation by 3, you get n = 39, which is what we want.

Answer:

Yes, John did write his systems of equations correctly.

Step-by-step explanation:

FedEx charges him a flat rate of $5, so the 5 stands alone in the problem, and $0.50 per pound, so the 0.5 stands with the x because it represents each pound.

UPS doesn't charge him a flat rate so there is no stand-alone number. Since they charge $2 per pound, 2 is with the x, again representing each pound.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The system of equations used is:

y = 5 + 0.50x

y = 2x

Yes, the system of equations is used correctly.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

FedEx:

Cost of x pounds.

y = 5 + 0.50x

For x = 2.

= 5 + 1

= 6

UPS:

Cost of x pounds.

y = 2x

For x = 2.

= 2 x 2

= 4

We see that,

The cheaper carrier is FedEx.

Thus,

The system of equations used is:

y = 5 + 0.50x

y = 2x

Yes, the system of equations is used correctly.

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The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

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Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

a²-10a+24+6b-9b²​

(a-6)(a-4)+3b(2-3b) but this is incorrect

Therefore, the expression is not factorable with rational numbers

An expression for the given model can be simplified as -x - 2.

Given a model.

The model consists of 2 times x and 3 times -x.

This can be written as 2x + (3 × -x) = 2x - 3x = -x

It also consists of some 1's and '-1's.

In the first column, there are 3 1's = 3

Next, there are 2 1's and 1 '-1' = 2 + -1 = 1

Next, there are 3 '-1's = -1 + -1 + -1 = -3

Next also = -1 + -1 + -1 = -3

So summing up all these,

Expression is -x + 3 + 1 - 3 - 3 = -x - 2

Hence the required expression is -x - 2.

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Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x

and solve for

y.x-intercept(s): (3,0)

y-intercept(s): (0,−3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

Use the given to find the missing function:

Answer:

\({ \rm{f(x) = 4 - {x}^{2} }}\)

\({ \rm{(f - g)(x) = - {x}^{2} + x + 2}}\)

- From functions;

\({ \boxed{ \tt{(f - g)(x) = f(x) - g(x)}}} \\ \\ { \rm{ - {x}^{2} + x + 2 = (4 - {x}^{2} ) - g(x) }} \\ \\ { \rm{g(x) = (4 - {x}^{2}) + {x}^{2} - x - 2 }} \\ \\ { \boxed{ \rm{g(x) = 2 - x}}}\)