what is the volume of this cylinder?
r=5 cm
12cm

Answer:

....................,,.,.,.,.,.,.,.,..,.,.,.,.,.,.,...,.,.,.,.,.,.,.,..,.,.,.,.,.,.,.,,..,,.,.,..,.,.,.,,.

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..............................................

This is an example of deductive reasoning. Deductive reasoning is a logical process where a conclusion is drawn from previously known facts or observations.

In this case, the fact that the person's birthday is six days after their sister's birthday, and the person's birthday is on the 12th, allows us to deduce that the sister's birthday must be on the 18th. The conclusion is derived directly from the given facts, without the need for additional observation or evidence.

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Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.

Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.

For illustration, in the event that we have a relationship network like this:

markdown

| W | Period | WHIP | SO/9 | BB/9 |

----------------------------------------------

W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |

----------------------------------------------

Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |

----------------------------------------------

WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |

----------------------------------------------

SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |

----------------------------------------------

BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |

----------------------------------------------

We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.

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The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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The given statement is regarding USA Today that reports the average expenditure on Valentine's Day is $100.89. Now we have to find if there is any difference in the amount of money spent by male and female consumers.

The null hypothesis is given below:H0: µ1 = µ2The alternative hypothesis is given below:

Ha: µ1 ≠ µ2Where, µ1 is the population mean for male consumers and µ2 is the population mean for female consumers. The significance level of the test is given below:α = 0.01The sample mean, sample size, and the sample standard deviation for male and female consumers are given below: Sample mean of male consumers = $135.67Sample size of male consumers = 40Sample standard deviation of male consumers = $35Sample mean of female consumers = $68.64Sample size of female consumers = 30Sample standard deviation of female consumers = $20Now we will calculate the test statistic as shown below: Where, s1 is the sample standard deviation for male consumers, s2 is the sample standard deviation for female consumers, x1 is the sample mean for male consumers, x2 is the sample mean for female consumers, n1 is the sample size for male consumers, and n2 is the sample size for female consumers. Now, we will find the critical value of the test statistic for a two-tailed test using the t-distribution table below:

Degrees of Freedom (df) 0.005 0.001 60 2.660 3.745Since the sample size is small and the population standard deviation is unknown, we must use the t-distribution table to find the critical value of the test statistic. At α = 0.01 and df = n1 + n2 - 2 = 40 + 30 - 2 = 68, the critical values of the test statistic are -2.660 and 2.660. The calculated test statistic value is 4.42 which is greater than the critical value. Hence, the null hypothesis is rejected. It means there is a significant difference in the amount of money spent by male and female consumers.

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Answer:

slope -7

y intercept (0 , 12)

the number that can exactly 19 is 38

Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

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The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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The null hypothesis is that the mean IQ scores are equal for the two groups, i.e., \(H0: μ1 = μ2.\)

The alternative hypothesis is that the mean IQ scores are not equal for the two groups, i.e., H1: μ1 ≠ μ2. Here, μ1 represents the mean IQ score for subjects with medium lead levels, and μ2 represents the mean IQ score for subjects with high lead levels. Let’s assume that population 1 consists of subjects with medium lead levels, and population 2 consists of subjects with high lead levels.

The two samples are independent simple random samples selected from normally distributed populations. Therefore, we can perform a two-sample t-test to test whether the means of two populations are equal or not.  The two-sample t-test is given by the formula: attachment Type=3)where,x1¯ and x2¯ are the sample means,s1 and s2 are the sample standard deviations,n1 and n2 are the sample sizes.

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Answer:

Below

Step-by-step explanation:

600 = cost

.08 * 600 = tax    

Add the two together    600 + .08 (600) = 1.08 * 600 = $ 648

The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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There are 970,200 ways to select a first-prize winner, a second-prize winner, and a third-prize winner from 100 different people in the contest.

To determine the number of ways to select a first-prize winner, a second-prize winner, and a third-prize winner from 100 different people who have entered a contest, you can use the concept of permutations. In this case, you are choosing 3 winners from 100 people, and the order of selection matters.

The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of elements, r is the number of elements to be chosen, and ! denotes the factorial.

Using this formula, you have:

P(100, 3) = 100! / (100-3)!

= 100! / 97!

= (100 × 99 × 98 × 97!)/(97!)

The 97! terms cancel out, leaving:

= 100 × 99 × 98

= 970,200

So, there are 970,200 ways to select a first-prize winner, a second-prize winner, and a third-prize winner from 100 different people who have entered a contest.

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Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

Answer:

Step-by-step explanation:

93 + y = 180

y = 180 - 93

y =87 Degrees

Answer:

87°

Explanation: The angles y and 93° are supplementary angles.

Therefore, subtract 93° from 180°, and voila! You got the answer.

A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

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Given a line L¹ in R³, which is the span of the basis 18 -9 0, a basis for L² is given by the set of orthogonal-vectors:(1, 2, 0)T (0, 0, 1)T

We have to find a basis for the orthogonal complement of the line, which is denoted by L².

The orthogonal complement of L¹ is a subspace of R³ consisting of all the vectors that are orthogonal to the line.

Thus, any vector in L² is orthogonal to the vector(s) in L¹.

To find a basis for L², we can use the following method:

Find the dot product of the vector(s) in L¹ with an arbitrary vector (x, y, z)T, which represents a vector in L².

Setting this dot product equal to zero will give us the equations that the coordinates of (x, y, z)T must satisfy to be in L².

Solve these equations to find a basis for L².Using this method, let (x, y, z)T be a vector in L², and (18, -9, 0)T be a vector in L¹.

Then, the dot product of these two vectors is:

18x - 9y + 0z = 0.

Simplifying this equation, we get:

2x - y = 0

y = 2x

Thus, any vector in L² has coordinates (x, 2x, z)T, where x and z are arbitrary.

Therefore, a basis for L² is given by the set of orthogonal vectors:

(1, 2, 0)T (0, 0, 1)T

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Answer:

Step-by-step explanation:

A graphing calculator can be helpful for questions of this nature. The attached shows the center is (-9, -7) and the radius is 5.

_____

You can separate the x- and y- terms and complete the square for each.

  (x^2 +18x) +(y^2 +14y) = -105

Do that by adding the square of half the linear term.

  (x^2 +18x +9^2) +(y^2 +14x +7^2) = -105 +81 +49

  (x +9)^2 +(y +7)^2 = 25

Compared to the standard form equation ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . center (h, k), radius r

We see that the given circle has a center of (-9, -7) and a radius of 5.

Answer:

-42

Step-by-step explanation:

1. 4(-2)

2. 3(-8)

3. -8 + -10 + -24

4. cobine like terms

5. -42

The value of the expression shown will be -42.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator

It is given that the expression is, 4(-2) + (-10) + 3(-8)

We have to apply the arithmetic operation, The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics.

=4(-2) + (-10) + 3(-8)

= -5 +-10 +(-240

= -42

Thus, the obtained value of the expression will be -42.

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Answer:

Step-by-step explanation:

This is the combination of 3, 3 and 2 options.

The number of combinations is:

Correct choice is D

Answer:

\(x=2\)

Step-by-step explanation:

K is the midpoint of J and L, so

JK = KL.

\(5x-3=3x+1\)

Add 3 to both sides:

\(5x-3+3=3x+1+3\)

\(5x=3x+4\)

Subtract 3x from both sides:

\(5x-3x=3x+4-3x\)

\(2x=4\)

Divide 2 on both sides:

\(\frac{2x}{2}=\frac{4}{2}\)

\(x=2\)

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer:

180

Step-by-step explanation:

pens: 20 x 6 = 120

pencils: 12 x 5 = 60

120+60= 180

Answer:

1) Add/Subtract the same quantity to/from both sides.

2)Yes.

Step-by-step explanation:

We can get equation B from equation A by adding /subtracting the same quantity to/from both sides.

Both the linear equations have same solution.

A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.

Given linear equations are:

A. 3x - 1 = 7

B. 3x = 8

1. We can get equation B from equation A by adding '1' on either side.

2.Equation A and equation B are same equations. Therefore, they have the same solution.

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The correct equation of the line is y =  2x/5x - 1/5. option D

Given that;

x1 = 1

x2 = 3

y1 = 1/5

y2 = 1

Thus;

y - y1 = (y2 - y1/x2 - x1) (x - x1)

y - 1/5 = 1 - 1/5/3 - 1 (x - 1)

y -  1/5 = 4/5/2  (x - 1)

y -  1/5 = 4/5 * 1/2   (x - 1)

y -  1/5 = 4/10  (x - 1)

y -  1/5 = 2/5 (x - 1)

y -  1/5 = 2x/5 - 2/5

y - 2x/5 = 1/5 - 2/5

y - 2x/5 = -1/5

y = 2x/5x - 1/5

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Answer:

i dont ethier ;i

Step-by-step explanation:

If the city worker released the statement that 60% of dairy city's 3,000 homes are in violation of city codes , then the City Worker's statement is an example of : (d) Statistical Inference .

The Statistical Inference involves making generalizations about a population based on a sample.

In this case, the city worker has taken a sample of 200 homes out of the total 3,000 homes in Dairy City, and based on that sample, the City Worker is making an inference about the proportion of homes in violation of city codes for the entire population of Dairy City.

The statement is not a census as a census would involve collecting data from every single unit in the population, in this case every single home in Dairy City.

The given question is incomplete , the complete question is

A city worker inspected 200 homes in dairy city. during that inspection, 120 homes were found to violate one or more city codes. the city worker released a statement that 60% of dairy city's 3,000 homes are in violation of city codes.

The City Worker's statement is an example of :

(a) Census

(b) An experiment

(c) Descriptive Statistics

(d) Statistical Inference

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To find the limit of lim xy/√x^2 + y^2 (x,y) → (0,0), we can use polar coordinates. the limit is: lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0

Let x = rcosθ and y = rsinθ. Then, the limit becomes lim (rcosθ)(rsinθ)/√(rcosθ)^2 + (rsinθ)^2 as r approaches 0. Simplifying, we get lim rcosθsinθ/√r^2(cos^2θ + sin^2θ) as r approaches 0. Canceling out the r, we get lim cosθsinθ/√(cos^2θ + sin^2θ) as r approaches 0. Since cosθsinθ is less than or equal to 1, the limit must exist and equal 0.

Therefore, the limit of lim xy/√x^2 + y^2 (x,y) → (0,0) is 0.

To find the limit of lim xy/√(x^2 + y^2) as (x,y) → (0,0), you can use polar coordinates to transform the expression. Let x = rcosθ and y = rsinθ. Then, the given expression becomes:

(r*cosθ * r*sinθ) / √(r^2*cos^2θ + r^2*sin^2θ) = r^2*sinθ*cosθ / (r*√(cos^2θ + sin^2θ))

Simplifying the expression, we get:

r*sinθ*cosθ

Now, as (x,y) → (0,0), r → 0. The limit we are looking for is:

lim r*sinθ*cosθ as r → 0

Since sinθ and cosθ are bounded between -1 and 1, the product r*sinθ*cosθ will also approach 0 as r approaches 0.

Therefore, the limit is:

lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0

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