a circle has a radius of \sqrt{98} 98 ​ square root of, 98, end square root units and is centered at (5.9,6.7)(5.9,6.7)left parenthesis, 5, point, 9, comma, 6, point, 7, right parenthesis. write the equation of this circle.

In part a, we will calculate the number of square inches in a pizza with a 16-inch diameter. In part b, we will calculate the number of square centimeters in a pizza with a 27.8-centimeter diameter.

Part a: To find the area of the pizza in square inches, we need to calculate the area of a circle with a diameter of 16 inches. The formula for the area of a circle is \(A=\pi r^2\), where r is the radius. Since the diameter is given, we can find the radius by dividing the diameter by 2. So, the radius of the pizza is 16/2 = 8 inches. Plugging this value into the formula, we get \(A = \pi (8^2) = 64\pi\) square inches.

Part b: To find the area of the pizza in square centimeters, we need to calculate the area of a circle with a diameter of 27.8 centimeters. Again, we use the formula \(A=\pi r^2\), but this time we need the radius in centimeters. The radius is 27.8/2 = 13.9 centimeters. Plugging this value into the formula, we get \(A = \pi (13.9^2) = 191.04\pi\) square centimeters.

Part c: To convert the area from part a (in square inches) to square centimeters, we need to know the conversion factor. Given that 1 inch is equal to 2.54 centimeters, we can square this conversion factor to get the conversion factor for area.

So, 1 square inch is equal to \((2.54)^2 = 6.4516\) square centimeters. Multiplying the area from part a (64π square inches) by the conversion factor, we get 64π * 6.4516 square centimeters, which simplifies to 412.96π square centimeters.

Therefore, the pizza from Tallahassee has an area of 64π square inches, the pizza from Jaco, Costa Rica has an area of 191.04π square centimeters, and the conversion of the pizza from Tallahassee to square centimeters is approximately 412.96π square centimeters.

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Answer:

A

Step-by-step explanation:

A linear function is a straight line when graphed so is not B.

For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.

The number of different sequences in which the 7 successes could have occurred is 792.

To calculate the number of different sequences, we can use the concept of permutations. Since we have a total sample size of 12 and 7 successes, we need to determine the number of ways these successes can be arranged within the sample.

The formula for permutations is given by nPr = n! / (n - r)!, where n is the total number of items and r is the number of items to be arranged.

In this case, we have n = 12 (total sample size) and r = 7 (number of successes). Plugging these values into the formula, we get:

12P7 = 12! / (12 - 7)!

= 12! / 5!

= (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1)

= 792

Therefore, there are 792 different sequences in which these 7 successes could have occurred within the sample of size 12.

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Answer:

c

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

35.54-30.72=4.82

Answer:

reduction, scale factor of 1/2

Step-by-step explanation:

because the rectangle is getting smaller, it is a reduction. the length got shorter by 1/2 (2.5/5) so the scale factor is 1/2

Answer:

3:2

Step-by-step explanation:

2/5 are terriers which means 3/5 of them are dalmations

Answer:

Mean = 3.5

Step-by-step explanation:

The given data is :

4.5,5, 3.5, 2, 2.5

We need to find the mean of the given data.

We know that,

Mean = sum of observations/total no. of observations

Here,

Total no. of observations = 5

Sum of observations = 4.5 + 5+ 3.5+ 2+ 2.5 = 17.5

Mean,

\(m=\dfrac{17.5}{5}\\\\m=3.5\)

Hence, the mean of the data set is equal to 3.5.

Answer:

mbnmf mkvdv dlbj fbljkf mgmbv m

Step-by-step explanation:

vk gmb flkmvfvv

Answer:

its 90

Step-by-step explanation:

The 99% confidence interval for the mean GPA of all accounting students at this university is approximately (3.12272, 3.27728). This means we are 99% confident that the true mean GPA of all accounting students at this university falls between 3.12272 and 3.27728.

To construct the 99% confidence interval for the mean GPA of all accounting students at this university, follow these steps:
Identify the sample size, mean, and standard deviation: In this case, the sample size (n) is 25, the mean (x) is 3.20, and the standard deviation (s) is 0.15.
Determine the confidence level: The problem states we need a 99% confidence interval, so the confidence level is 99%.
Find the critical value (z-score) for the confidence level: For a 99% confidence interval, the critical value (z) is 2.576 (you can find this value in a standard z-score table).
Calculate the standard error (SE) of the sample mean: SE = s / √n = 0.15 / √25 = 0.15 / 5 = 0.03.
Calculate the margin of error (ME): ME = z * SE = 2.576 * 0.03 = 0.07728.
Find the lower and upper limits of the confidence interval:
- Lower limit = x - ME = 3.20 - 0.07728 = 3.12272.
- Upper limit = x + ME = 3.20 + 0.07728 = 3.27728.

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Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

\(hope \: it \: helps\)

Answer:

Step-by-step explanation:

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

Answer:

y = -(x - 2)^2.

Step-by-step explanation:

Vertex form is a(x - b)^2 + c   where  a is a constant and (b, c) is the vertex.

Here b = 2 and c = 0

So we have:

y = a( x - 2)^2 + 0

When x = 4 y = -4 so:

-4 = a( 4 - 2)^2

a = -4/2^2 = -1

So the required equation is

y = -(x - 2)^2.

Answer:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

\(ax^2+bx+c\)    (1)

You have the following polynomial:

\(3x^2-10x+8\)    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

\(x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

\(x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}\)

Then, the factorization of the polynomial is:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

The number of people who had severe water shortage in standard form is  2.7 × 10⁸.

Percentage, denoted by the symbol '%', is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Given,

Population of the world in 2007 = 6 000 000 000 = 6 × 10⁹ = 6 billion

Percentage of people who had severe water shortage = 4.5%

Number of people who had severe water shortage = 4.5% × 6 billion

                                                                                      = (4.5/100) × 6 billion

                                                                                      = 0.045 × 6 × 10⁹

                                                                                      = 0.27 × 10⁹

                                                                                      = 2.7 × 10⁸

Hence the people who had severe water shortage is 2.7 × 10⁸.

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Answer:

Step-by-step explanation: both graphed is D

The graph D represents the solution of the system of the equation.

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given, the system of equation;

y = -3x - 5  {equation 1}

y = 3x + 1  {equation  2}

Add both of the equation:

2y = -4

y = -2

And x = 1

And the solution set is (1 , -2).

And only D have the solution set (1 , -2)

Therefore, the graph D represents the solution of the system of the equation.

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The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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p < 0.05, there is sufficient evidence to conclude that the machines' maker should perform a recalibration.

Given,

The test statistics formula for finding the z-score is,

z = (X - μ)/(σ/√n)

Where,

X = sample mean

μ = population mean

σ = population standard deviation

n = sample size

This z-score is used to determine the p-value. The null hypothesis is not rejected if p > α, and it is rejected if p < α.

Here,

The population mean μ = 4.00

The sample size n = 196

The sample mean X = 4.14

The standard deviation σ = 0.83

The significance level α = 0.05

So, the hypothesis is:

The null hypothesis: H0: μ = 4

The alternative hypothesis: Ha: μ ≠ 4

Thus, the test statistic value is,

z = (X - μ)/(σ/√n)

= (4.14 - 4)/(0.83/√196)

= 2.36

So, for z = 2.36, the p-value is 0.009137

Therefore,

The provided significance level of 0.05 is not met by the p-value of (0.009137). Therefore, there is enough evidence to support the claim that the machines' manufacturer needs to recalibrate them.

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Step-by-step explanation:

1. 3(p-q)

2. 4(2m+3n+4r)

3. 2x(2x-3y)

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

2.50x + 15.00 = 1.00x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.50(-10) + 15.00 = 1.00(-10)

-25 + 15.00 = -10

-10 = -10

Answer:

x = -10

Step-by-step explanation:

multiply both sides by 10:

2.50x*10+15*10=1.00x*10

Refine:

25x + 150 = 10x

Subtract 150 from both sides:

25x + 150 - 150 = 10x - 150

Simplify:

25x = 10x - 150

Subtract 10x from both sides:

25x - 10x = 10x - 150 - 10x

Simplify:

15x = -150

Divide both sides by 15:

15x/15 = -150/15

Simplify:

x = -10

Answer:

does not clearly describe a word or phrase in a sentence

Step-by-step explanation:

Not sure that this is math but...

Answer:

The answer is B

Step-by-step explanation:

B) does not clearly describe a word or phrase in a sentence

The equation representing this function is y = tan(x)

The equation which represents a tangent function with a domain of all real numbers such that x is not equal to pi over 4 plus pi over 2 times n comma where n is an integer is:y = tan(x)The tangent function is one of the six trigonometric functions, which is abbreviated as tan. The inverse of the cotangent function is the tangent function. It is also referred to as the inverse tangent, arctan, or tan^-1.

It is defined by the ratio of the opposite side to the adjacent side of a right triangle. The tangent function is a periodic function with a period of π radians or 180°. Its value alternates between negative and positive infinity over each period.The tangent function is not defined at odd multiples of π/2, that is, (2n+1)π/2 for all integers n. This is because the denominator in the tangent function becomes zero, causing a vertical asymptote.
For example, the values of the tangent function for π/2, 3π/2, 5π/2, etc. are undefined. Therefore, the domain of the tangent function is all real numbers except for odd multiples of π/2. The notation for the domain is (-∞, -π/2) U (-π/2, π/2) U (π/2, 3π/2) U (3π/2, ∞).However, in this case, the domain is all real numbers except π/4 + nπ/2, where n is any integer.

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Answer:

6.5%

Step-by-step explanation:

All i did was subtract 65 from the 75 which gave me 10 and I divided that by the original cost which was 65. That gave me 6.5%. Another possible answer is 0.1538461538461538. I just tried my best.

Answer:

33 degree

Step-by-step explanation:

Let m1 be x

m2= x+1

A/Q

--> m1+m2= 67

--> x+x+1= 67

--> 2x+1=67

--> 2x= 67-1

--> 2x=66

--> x= 66/2

--> x= 33

So, m1= 33 degree

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Answer: 10.5

Step-by-step explanation:

The mean is all of the numbers in a system added together then divided by the amount of numbers in a system.

3 + 6 + 9 + 12 + 15 + 18 = 63

63 / 6 = 10.5

Answer:1/3

Step-by-step explanation:

25/75

25/25=1

75/25=3

Answer is 25/75=1/3