in statistics, an association refers to group of answer choices the existence of an overall pattern of joint variation between variables, regardless of origin or cause. a linear or curved pattern of joint variation between two quantitative variables. the existence of a causal pattern of joint variation between variables, based on sample data. a linear pattern of joint variation between two quantitative variables.

Mathland is more likely to be sunny than rainy, with a probability of 19/30 for sunny and 11/30 for rainy. So, on average, mathland is a more sunny place than a rainy place.

In this problem, we are given that in mathland, the weather is either sunny or rainy, and there are no other possible weather conditions. We are also given that on a sunny day, there is an equal chance that it will rain on the following day or be sunny. On a rainy day, there is a 70% chance it will rain on the following day and a 30% chance it will be sunny.

To determine whether mathland is a more rainy or sunny place, we need to calculate the probabilities of the two weather conditions, sunny and rainy.

We can use the law of total probability to calculate the probabilities of the events R (it is rainy) and S (it is sunny):

P(R) = P(R|S)P(S) + P(R|R)P(R)

where P(R|S) is the probability of it being rainy given that it is currently sunny, P(S) is the probability of it being sunny, P(R|R) is the probability of it being rainy given that it is currently rainy, and P(R) is the probability of it being rainy.

We are given that on a sunny day, there is an equal chance that it will rain or be sunny the next day. Therefore, P(R|S) = 1/2 and P(S|S) = 1/2.

We are also given that on a rainy day, there is a 70% chance it will rain the next day and a 30% chance it will be sunny. Therefore, P(R|R) = 0.7 and P(S|R) = 0.3.

Finally, we know that the probability of it being sunny or rainy must be equal to 1. Therefore, P(R) + P(S) = 1.

Substituting the values we have into the law of total probability formula and using the fact that P(R) + P(S) = 1, we can solve for P(R) and P(S):

P(R) = P(R|S)P(S) + P(R|R)P(R) = (1/2)(1/3) + (7/10)(2/3) = 11/30

P(S) = 1 - P(R) = 1 - 11/30 = 19/30

Therefore, mathland is more likely to be sunny than rainy, with a probability of 19/30 for sunny and 11/30 for rainy. So, on average, mathland is a more sunny place than a rainy place.

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Answer:

Step-by-step explanation:

16/2 is simply 8

Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

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

Hope this helps!

The utility pole with a diameter of 1 ft and a height of 20 ft will cost about $319.78.

To calculate the cost of the utility pole, we need to find its volume first.

A cylinder's volume is given by the formula \(V =\pi r^2h\), where r is the radius of the base and h is the height.

In this case, the diameter is given as 1 ft, so the radius is 1/2 ft (since radius = diameter/2).

Using the formula, we find the volume \(V = \pi(1/2)^2 * 20 = 5\pi ft^3\).

Now, we can calculate the cost by multiplying the volume by the cost per cubic foot.

The cost of wood per cubic foot is $20.29.

Multiplying this by the volume, we get the cost of the utility pole as 5π * $20.29.

To get an approximate value, we can use the approximation π ≈ 3.14.

So, the cost of the utility pole is approximately 5 * 3.14 * $20.29.

Evaluating this expression, we find the cost of the utility pole to be about $319.78.

Rounding this to the nearest cent, the cost of the utility pole is approximately $319.78.

In summary, the utility pole with a diameter of 1 ft and a height of 20 ft will cost about $319.78.

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Answer:

A=31.5cm squared

Step-by-step explanation:

A=lw

A=(9)(3.5)

A=31.5

therefore A=31.5cm squared

Answer:

31.5 cm

Step-by-step explanation:

Just multiply the length and width

Answer:

The median is 11.

Step-by-step explanation:

To find the median, you need to put all of the numbers in order.

In this case it would go:

2, 5, 8, 10, 10, 12, 14, 17, 20, 22

Now you find the middle number. Since there is an even amount of numbers, the median will fall between two different numbers. These numbers are 10 and 12. The median will be the number in between these two, which is 11. Therefore, the median is 11.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer:

-5, -8, -11

Step-by-step explanation:

Common difference:

\(d = 4 - 7 \\ d = - 3\)

Answer:

- 5, - 8, - 11

Step-by-step explanation:

The common difference between the given terms is

4 - 7 = 1 - 4 = - 2 - 1 = - 3

The to find the next term subtract 3 from the previous term , that is

- 2 - 3 = - 5

- 5 - 3 = - 8

- 8 - 3 = - 11

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.

Here are the steps to determine the end behavior of a rational function:

1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.

2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.

  - If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.

  - If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.

3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.

  - The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.

4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.

  - If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.

  - If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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The length of 6 feet 3 inches is approximately equal to 190.5 centimeters.

To convert 6 feet 3 inches to centimeters, we need to first convert the total length to inches, and then multiply the result by 2.54, which is the conversion factor for inches to centimeters.

There are 12 inches in a foot, so we can convert 6 feet to inches by multiplying by 12:

6 feet = 6 x 12 inches = 72 inches

Then we can add the 3 inches to get the total length in inches:

6 feet 3 inches = 72 inches + 3 inches = 75 inches

Finally, we can convert the total length in inches to centimeters by multiplying by 2.54:

75 inches x 2.54 cm/inch = 190.5 cm

Therefore, 6 feet 3 inches is approximately equal to 190.5 centimeters.

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Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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The product of expression is 24a² - 18ab.

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

Answer:

ans: 80 °

Step-by-step explanation:

given two triangle are isosceles triangle so,

triangle having angle a;

a + 2d = 180

d = 54° ( since a= 72°)

d is vertically opposite to angle of triangle containing x,

similar reason for b ,

hence

x+ d + b = 180

x = 180 - 54 - 46

= 80°

In Algebra 1, the 2.12 Checkpoint focuses on Polynomial operations. The purpose of this checkpoint is to assess the student's understanding of different polynomial operations, such as addition, subtraction, multiplication, and division. Students are required to select all the correct options that apply to the given problems.

The checkpoint is crucial as it helps students identify the areas they need to improve upon and seek additional help. Polynomial operations are essential in Algebra 1 as they form the foundation of advanced algebraic operations. Therefore, students must master these operations to excel in their algebraic endeavors.
In this checkpoint, you'll learn how to perform various operations on polynomials, such as addition, subtraction, and multiplication.

Step 1: Identify the polynomials you are working with.

Step 2: When adding or subtracting, align the like terms (terms with the same variable and exponent). Then, perform the operation by combining the coefficients of these like terms.

Step 3: When multiplying, use the distributive property to multiply each term of the first polynomial by each term of the second polynomial. Remember to add the exponents of like variables.

Step 4: Combine any like terms in the resulting polynomial.

By practicing these steps, you will become proficient in polynomial operations and be able to solve more complex problems in the future.

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Answer:

x=9

Step-by-step explanation:

subtract 9 from both sides.

-3x = -27

divide by -3

x=9

Answer:

x=9

Step-by-step explanation:

Hi there!

We are given the following equation:

-3x + 9 = -18

We want to solve for x

To do that, we need to isolate x on one side; the value of x (the answer) will be on the other side.

We can manipulate numbers in order to help us isolate x on one side.

First, let's remove 9 from the left side; subtract 9 from both sides

-3x + 9 = -18

     - 9    -9

___________________

-3x =    -27

Now, there are no more numbers on the left side, but we aren't done yet. The value of x is also equal to the value of 1x.

In order to find the value of 1x, we can divide both sides by -3, as if you divide any number by itself, the result is 1. x doesn't get divided (there are no other numbers or variables to divide x by when we divide -3x by -3), so the result on the left side would be 1x, or x.

Therefore, we need to divide both sides by -3

-3x/-3 = -27/-3

x= 9

(the number is not negative because when you divide a negative by a negative, the resulting number is positive)

Hope this helps!

Answer:y=(-2x+1) (x+1)

Step-by-step explanation:

2x+y=-2x^2 +3x+1

y=-2x^2+x+1

y=-2x^2 -2x+x+1

y=-2x(x+1) +1(x+1)

y=(-2x+1) (x+1)

The 90% confidence interval for a sample of size 271 with 78% successes is (0.741, 0.819).

In order to calculate the confidence interval, we need to determine the standard error of the proportion. The formula for the standard error is the square root of (p(1-p))/n, where p is the sample proportion and n is the sample size. Plugging in the given values, we find the standard error to be √((0.78*(1-0.78))/271) ≈ 0.022.

Next, we calculate the margin of error by multiplying the standard error by the appropriate critical value from the standard normal distribution. For a 90% confidence level, the critical value is approximately 1.645. Therefore, the margin of error is 1.645 * 0.022 ≈ 0.036.

Finally, we construct the confidence interval by subtracting and adding the margin of error from the sample proportion. The lower bound is 0.78 - 0.036 ≈ 0.741, and the upper bound is 0.78 + 0.036 ≈ 0.819. Therefore, the 90% confidence interval is (0.741, 0.819).

This means that we can be 90% confident that the true population proportion lies within the interval (0.741, 0.819) based on the given sample.

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Answer:

228cm^2

Step-by-step explanation:

Multiply 18cm by 10cm:

18 x 10 = 180cm^2

So we have the area of the biggest/top part: 180cm^2

For the bottom part:

You've said the length of the bottom side is 8cm.

We know the length of the biggest side: 24cm. And we know the length of the opposite side: 18cm. So, to find the length of the missing side, it's simple subtraction:

24cm - 18cm = 6cm

So now we have lengths for 2 sides: 8cm and 6cm.

Multiply these to give the area:

8cm * 6cm = 48cm^2

Add these areas of both shapes together to give total area:

180cm^2 + 48cm^2 = 228cm^2

The initial number of newts and toads in the pond were in the ratio 3:4, making the total number of organisms in the pond 7x. Solving for x, we get the initial number of toads and newts in the pond as 108 and 81.

Let's assume that the initial number of newts and toads in the pond were 3x and 4x, respectively. Therefore, the total number of organisms in the pond would be 7x.

When 9 more toads entered the pond, the number of toads became 4x + 9, and the ratio of newts to toads changed to 3:5. This means that the number of newts and toads in the pond increased by a factor of 3/2 and 5/4, respectively. We can set up the following equation to solve for x:

3/2n = 4x + 9

5/4n = 4x + 9

Simplifying these equations, we get:

6x + 18 = 5x + 45

x = 27

So, the initial number of toads in the pond was 4x = 108, and the initial number of newts was 3x = 81.

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The coefficient of determination in terms of the variance that is an output from the analysis of variance table Explained variance divided by total variance.

What is Explained variance?

The percentage of a particular data set's variance that can be explained by a mathematical model is known as explained variation in statistics. Variance is frequently used to measure variation; after that, the more precise phrase explained variance can be employed.

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable. In other words, the R-squared (or R²) coefficient, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis. For illustration, this coefficient might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.

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Answer:

gsuwiehjdsjkwebskwkahska

The common ratio for this sequence is 4.

We are given a sequence that is 1, 4, 16, 64, and 256. We have to find a common ratio for this sequence. We will find the common ratio by dividing the number by its previous number present in the sequence. Therefore, we can get the common ratio by dividing 4 by 1, 16 by 4,64 by 16, and 256 by 64.

Dividing any of these will give us the answer as 4. It means that every number is multiplied by 4 in this series and it is in geometric progression. It has a common ratio of 4.

Common ratio = 4/1 = 16/4 = 64/16 = 256/64

Therefore, the common ratio = 4.

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The complete question is "Find the common ratio in the sequence 1, 4, 16, 64, and 256."

Answer:

B

Step-by-step explanation:

sinx = 3/5

to find the value of x...figure sine inverse(Arcsin) of 3/5 out.

sin^-1 ( 3/5) = 0.64.

siny = 7/25

sin^-1(7/25) = 0.28

x = 0.64

y = 0.28

tan(x-y)

=tan(0.64-0.28)

= tan (0.36)

= tan (9/25)

= 0.376.

now divide every fraction given from a - d to find the one equivalent to 0.376 because that's the value of tan(x-y).

B. 44 / 117 = 0.376.

Answer:

b

Step-by-step explanation:

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{5}\)

This is a 3- 4- 5 right triangle

with adjacent side = 4 , then

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{4}{5}\) , thus

tan x = \(\frac{sinx}{cosx}\) = \(\frac{\frac{3}{5} }{\frac{4}{5} }\) = \(\frac{3}{5}\) × \(\frac{5}{4}\) = \(\frac{3}{4}\)

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

sin y = \(\frac{7}{25}\)

This is a 7- 24- 25 right triangle

with adjacent side = 24 , then

cos y = \(\frac{adjacent}{hypotenuse}\) = \(\frac{24}{25}\) , thus

tan y = \(\frac{siny}{cosy}\) = \(\frac{\frac{7}{25} }{\frac{24}{25} }\) = \(\frac{7}{25}\) × \(\frac{25}{24}\) = \(\frac{7}{24}\)

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

tan(x - y) = \(\frac{tanx-tany}{1+tanxtany}\)

             = \(\frac{\frac{3}{4}-\frac{7}{24} }{1+\frac{3}{4}(\frac{7}{24}) }\)

             = \(\frac{\frac{11}{24} }{1+\frac{21}{96} }\)

             = \(\frac{\frac{11}{24} }{\frac{117}{96} }\)

             = \(\frac{11}{24}\) × \(\frac{96}{117}\)

             = \(\frac{11}{1}\) × \(\frac{4}{117}\)

             = \(\frac{44}{117}\) → b

Step-by-step explanation:

you did not find the formulas on the internet and/or don't have a calculator ?

the volume of any regular 3D object is

base area × height

so, the volume of the triangular prism is

triangle area × 10

a triangle area is

baseline × inner height / 2

and if I see this right, the triangle is right-angled. so the legs enclosing the 90° angle can be seen as baseline and inner height.

so, for the volume again, we get

baseline × inner height /2 × height = 3×8 /2 × 10 =

= 24 × 5 = 120 units³

the volume of a cone is

pi×r²×height/3

so, in our case

pi×5²×6/3 = pi×25×2 = 50pi = 157.0796327... units³

the volume of a cylinder is again base area ×height

pi×r²×height

so, in our case

pi×5²×8 = pi×25×8 = 200pi = 628.3185307... units³

the volume of a pyramid is

length×width × height / 3

so, in our case

3×4 × 6 / 3 = 12 × 2 = 24 units³

Answer:

Step-by-step explanation:

see picture

The transformation given as A(-8,7) → A'(-8,-7) represents a reflection over x-axis .

In the reflection of the point (x,y) over x-axis transformation ,the x-coordinate of each point remains the same, but the y-coordinate is negated (changes sign).

Let's consider the coordinates of point A that is  (-8, 7).

The transformation takes this point to A' (-8, -7).

We can see that the x-coordinate of the point remains the same which is -8. but , the y-coordinate changes from 7 to -7.

We know that in a reflection over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Therefore , the transformation that takes A to A' is a reflection over the x-axis.

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The given question is incomplete , the complete question is

Identify the Transformation given as A(-8,7) → A'(-8,-7)?