Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes. How long did he spend snowboarding?

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.

Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.

Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.

No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.

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Answer:

Multiply

Step-by-step explanation:

Answer:

20 tie dye t shirts

Step-by-step explanation:

Answer:

z ∗ = 2.326

Step-by-step explanation:

The percent of broken bulb will be 5%.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

He takes a random sample of 500 bulbs.

He finds that 25 bulbs arrived broken.

The percentage of broken bulb will be,

= (25/500) * 100

= 0.05 * 100

= 5%

Thus, 5 percent of bulb are broken.

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Answer:

B

Step-by-step explanation:

it have higher vowel words it's my opinion

Answer:

D. Manitoba

Step-by-step explanation:

a = 2/5 (not jncluding y as a vowel)

b = 4/12

c = 3/7

d = 4/8

0.4, 0.33, 0.43, 0.5

Answer:

Step-by-step explanation:

let a be the first term and r be common ratio.

\(a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645\)

Answer:

Dont say your doing a test, brainly is strict and will delete your question because its timed

Step-by-step explanation:

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

x=1

Step-by-step explanation:

It would require 490 joules of work to pull 5m of the cable up to the top.

To solve this problem, we need to use the formula for work:

Work = force x distance x cos(theta)

where force is the tension in the cable, distance is the distance moved, and theta is the angle between the force and the distance.

First, let's find the tension in the cable. The weight of the cable itself is negligible compared to the weight of the weight, so we can assume that the tension is equal to the weight of the weight:

Tension = weight of weight = 10kg x 9.8m/s² = 98N

Next, let's find the angle between the force and the distance. Since we are pulling the cable straight up, the angle is 0 degrees, so cos(theta) = 1.

Now we can plug in the values and solve for work:

Work = 98N x 5m x 1
Work = 490J

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The random variable x in this case is a binomial random variable, representing the number of cars that need to be inspected until a car fails an inspection. A binomial random variable is defined as the number of successes, “s”, in “n” independent trials. In this case, “s” would be 1 (the single failure) and “n” would be the number of cars that John inspects until a car fails inspection.

The probability of success, “p”, in this case is 0.06 since 6% of cars fail inspection. The probability of failure is “q”, which would be 0.94 in this case (1 - 0.06). The mean, “μ”, of the random variable x is equal to n * p, or the total number of trials times the probability of success. In this case, the mean would be equal to n * 0.06, or 6%.

The variance, “σ2”, of the random variable x is equal to n * p * q, or the total number of trials times the probability of success times the probability of failure. In this case, the variance would be equal to n * 0.06 * 0.94, or 5.64%.

The binomial random variable x can be used to calculate the expected number of inspections it will take John until a car fails an inspection, as well as the probability of a car failing an inspection. By knowing the probability of success, the number of trials, and the probability of failure, we can calculate the mean, variance, and expected value of the binomial random variable x.

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Yes, the claim is correct because √16 + π = 4 + π and  4 + π  is an irrational number

Rational numbers are numbers that can be expressed as the ratio of two integers while Irrational numbers cannot be expressed as the ratio of two numbers.

The sum of a rational and an irrational number is always an irrational number.

Example:

Consider a rational number: 4 and an irrational number: 2.7582...

When we add these two numbers, we get,

4 + 2.7582... = 6.7582....

Thus, it is clear that this sum is also an irrational number as the numbers after decimal are non-terminating and non-recurring.

Thus, the correct option is that the claim is correct because √16 + π = 4 + π which is an irrational number

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9514 1404 393

Answer:

  (a) Store A: (2, 40¢), (1, 20¢); Store B: (2, 30¢), (1, 15¢)

  (b) Store A: 20¢; Store B: 15¢; A's cost more

  (c) A: $1.00; B: $0.75

Step-by-step explanation:

If you have done any personal shopping, you are probably aware that the cost of 4 items is 4 times the cost of 1 item. If you are at all familiar with your multiplication tables, you probably know that ...

  2 = 2×1

  4 = 2×2

  6 = 2×3

__

(a) This knowledge makes it fairly easy to fill in the tables in part (a) of this question.

The cost of 4 pens is 2 times the cost of 2 pens. The cost of 2 pens will be half the cost of 4 pens, so will be 80¢/2 = 40¢. Similarly, the cost of 1 pen will be half the cost of 2 pens, so will be 40¢/2 = 20¢. Now the table looks like ...

  Pens, Cost

  4, 80¢

  2, 40¢

  1, 20¢

__

The cost of 6 pens is 3 times the cost of 2 pens, so the cost of 2 pens will be 1/3 of 90¢, or 30¢. The cost of 1 pen is half that, 15¢. So the table for Store B looks like ...

  Pens, Cost

  6, 90¢

  2, 30¢

  1, 15¢

__

(b) As we have seen above, the charge for 1 pen is ...

  Store A: 20¢

  Store B: 15¢

  Store A's pens cost more.

__

(c) The cost of 5 pens can be figured a number of ways. One way is to simply multiply the cost of 1 pen by 5. You can also add the cost of 1 pen to the cost of 4 pens, or subtract the cost of 1 pen from the cost of 6 pens.

  5 pens from Store A = 5 × 20¢ = 100¢ = $1.00

  5 pens from Store B = (cost of 6) - (cost of 1) = 90¢ -15¢ = 75¢ = $0.75

Answer:

6

Step-by-step explanation:

Find the prime factorization of 42:

42 = 2 × 3 × 7

Find the prime factorization of 96 :

96 = 2 × 2 × 2 × 2 × 2 × 3

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3

GCF = 6

ANSWER

The Greatest Common Factor (GCF) for 42 and 96, notation CGF(42,96), is 6.

EXPLANATION:

The factors of 42 are 1,2,3,6,7,14,21,42; The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96.

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The sum of the given infinite geometric series is 1/13.

First, let's write out the given series:

∑\(((-5)^(n-1))/(8^n)\) for n = 1 to infinity

Step 1: Find the common ratio (r)
To find the common ratio, we can look at the ratio between consecutive terms in the series. Let's consider the first two terms when n = 1 and n = 2:

Term 1:\((-5)^(1-1)/(8^1) = (-5)^0/8 = 1/8\)
Term 2:\((-5)^(2-1)/(8^2) = (-5)^1/64 = -5/64\)

Now let's divide the second term by the first term to find the common ratio (r):

r = (Term 2)/(Term 1) = (-5/64)/(1/8) = (-5/64) * (8/1) = -5/8

Step 2: Find the sum of the geometric series
To find the sum of an infinite geometric series, we can use the formula:

Sum = a1 / (1 - r)

Where a1 is the first term and r is the common ratio. We already found that the first term (a1) is 1/8 and the common ratio (r) is -5/8. Now we can plug in these values into the formula:

Sum = (1/8) / (1 - (-5/8))
Sum = (1/8) / (1 + 5/8)
Sum = (1/8) / (13/8)
Sum = (1/8) * (8/13)
Sum = 1/13

So The sum of the given infinite geometric series is 1/13.

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No, 25 is not a prime number. It can be divided by 5 without a remainder, so it has factors other than 1 and itself.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and by itself. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.

The factors of 25 are 1, 5 and 25. Prime numbers are numbers that are divisible by only 1 and themselves. So 25 is not a prime number.

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Answer:

2 3/4 = 11/4 :)

Step-by-step explanation:

Whole number times denominator then add the numerator!

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The probability of the sum of the upturned faces equal to 7 is Decimal answer is 0.1666667  and rounding to the hundredths place is 16.6%.

There are 66=36 potential pairs of die rolls because the two are independent of one another. Only the following pairs of rolls total seven out of those. (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). The probability of our two die rolls adding up to 7 would then obviously be: 6 ÷ 36 = 1 ÷ 6 = 0.1666667  rounding to the hundredths place = 16.6%. Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

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Answer:

The read, write, and draw process is a problem-solving technique that requires students to follow a particular procedure in order to solve a problem.

Let's call it the RDW process.

The first step students must take is to:

1. Read the Problem Statement: Sometimes it helps to do this aloud especially for students who are auditory learners. Auditory learners learn and or process more by hearing or listening. Auditory learners can solve problems by talking about it because while speaking, their hearing processes which aid their problem-solving ability is active and engaged.

So step 1 is to read the problem statement.

2. Draw a Picture or diagram: Pictorial representation of problems aid students who are kinesthetic learners as well as those who are visual learners.

Kinesthetic learning means to learn by doing. It also goes for problem-solving. Kinesthetic learners process problems/information faster when they are physically involved with it. Visual learners also absorb information in a unique way but not like auditory or kinesthetic learners. Visual learners like to see the problem and or the information. They process better that way. So getting a student who is a visual learner to draw a problem increases the speed at which he processes it.

3. write down problem-solving process.

It is important to incorporate all these methods and not isolate them because in some cases, people do not fall neatly into one learning type. In some cases, people are kinesthetic depending on what they are trying to learn while being auditory generally.

It is also important for teachers to get students to practice this process extensively and regularly in order to get good results.

Cheers

The coordinates of vertices after dilation by scale factor of 1.5 with center of dilation is D'(3,-3), E'(6,-3) and  F'(1.5,-6).

A dilation is just a transformation which enlarges or contracts the size of a figure. This means that the preimage and image are similar and are scaled up or down using a factor.

The vertices of the triangle are D(2,-2), E(4,-2), F(1,-4).

The origin-centered dilation with a scale factor of k is defined as,

(x,y) → (kx,ky)

As a result, dilation with a scale factor of 1.5 centered at the origin is defined as,

(x,y) → (1.5x,1.5y)

The image's vertices are

D(2,-2) → D'(3,-3)

E(4,-2) → E'(6,-3)

F(1,-4) → F'(1.5,-6)

Therefore the coordinates of vertices after the dilation by the given scale factor 1.5 is D'(3,-3), E'(6,-3) and  F'(1.5,-6).

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Answer:

is this correct

I think is will help you

Answer:

Step-by-step explanation:

Answer:

Its Rotation

Step-by-step explanation:

Because I say so.

Dimensions are the measurements of an object in various orientations. Objects in three-dimensional space have three dimensions, which are frequently referred to as length, width, and height.

A) Given that q(x) = 8ex cos(x), we can use the product formula to obtain:

8ex(cos(x) - sin(x)) Equals q'(x)

As a result, q'(7) = 8e7(cos(7) - sin(7)) 1078.1 to the tenth power.

B) Given that h(x) = 0.04ex x2, we can apply the product and chain rules to obtain:

h'(x) = 0.04ex(2x+x2)

C) To find the linear approximation of f(x) = (-2x-6)/(6x+8) at x = -1, first determine the equation of the tangent line to f(xgraph )'s at x = -1:

f(-1) = (-2(-1)-6)/(6(-1)+8) = 2/5

f'(-1) = [-2(6) - (-2)(8)]

(6+8)^2 = -2/49

So the tangent line's solution is:

y - (2/5) = (-2/49)(x + 1)

When we simplify this solution, we get:

y = (-2/49)x + 12/49

To approach f(-0.8), enter x = -0.8 into the following equation:

f(-0.8) ≈ (-2/49)(-0.8) + 12/49 ≈ 0.44

D) Let L be the length of the building's side and W be the breadth of the rectangular garden. Then there's:

2L + W = 60

We'd like to optimize the area A = LW. When we solve the first equation for W, we get:

W = 60 - 2L

When we substitute this for A in the equation, we get:

A = L(60 - 2L) = 60L - 2L^2

To determine the maximum value of A, we take its derivative with regard to L and set it to 0:

A' = 60 - 4L = 0

When we solve for L, we get L = 15, and thus W = 30. As a result, A = LW = 15(30) = 450 is the utmost area. As a result, the utmost area is 450.

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Given:

After 11 months, sumo wrestler weighed 140 kilograms.

He gained weight at a rate of 5.5 kilograms per month.

To find:

The y-intercept of the equation which represents y the  sumo  wrestlers  weight (in kilograms)  after x  months.

Solution:

Let y represent the sumo wrestlers weight (in kilograms) after x months.  

It is given that he gained  weight at a rate of  5.5 kilograms per month.

So, slope of the line is 5.5.

After  11  months,  sumo  wrestler weighed  140 kilograms. It means the line passes through the point (11,140).

The point slope form of the line is

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

where, m is slope of the line.

\(y-140=5.5(x-11)\)

\(y-140=5.5x-60.5\)

Add 140 on both sides.

\(y-140+140=5.5x-60.5+140\)

\(y=5.5x+79.5\)

Therefore, the required equation is \(y=5.5x+79.5\).

Substitute x=0, to find the y-intercept of this equation.

\(y=5.5(0)+79.5\)

\(y=79.5\)

Therefore, the y-intercept is 79.5. It means initial weight of sumo is 79.5 kilograms.

The expression is simplified to y⁹/12x². Option A

The index form of a number can be described as that number written as an exponential expression.

It is also seen as a single number that is raised to another number.

Other names for index forms are standard forms and scientific notation.

From the information given, we have that;

3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²

expand the exponential bracket of the denominator by mutiplying the values

3x^⁻⁴y⁵/2x⁶y⁻¹⁴

Now, divide the expression into parts, we have;

3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)

Since we are finding the quotient, subtract the exponents of the denominator from the numerators, we get;

3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)

Now, add or subtract the exponential values, we get;

-12(x⁻²y⁻⁹)

y⁹/12x²

Hence, the correct option is y⁹/12x²

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Answer:

3 HOURS

Step-by-step explanation:

HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.

True. The father tried to expression how proud he was of the kids.

True, this sentence does include an infinitive. An infinitive is a verb form that is typically preceded by the word "to" and it is not conjugated. In this sentence, the infinitive is "to express". This sentence is referring to how the father was trying to express how proud he was of his children. This is a good example of an infinitive being used to express an action, in this case, the action of expressing. Infinitives can also be used to express purpose, such as "to learn" or "to play." Infinitives are used in all types of sentences, from simple statements to complex questions. Infinitives are an important part of language and can be used to express a variety of different meanings.

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f'(4) = 15/49 is the required answer of the function.

Given function is:f(x)= x−3/ (x²−9)

Now, we will find the derivative of the given function as follows:

f'(x) = [(x²-9) * 1 - (x-3)*2x] / (x²-9)²

= [x²-9-2x²+6x] / (x²-9)²

= [6x-9] / (x²-9)²

Now, the function is not differentiable for those values of x where the denominator becomes zero.

x²-9=0

x²=9x

=±3

Hence, the function is not differentiable for x=±3.

Now, we need to find the value of f'(4) for the given function.

f'(x) = [6x-9] / (x²-9)²

Put x=4, we get,

f'(4) = [6(4)-9] / (4²-9)²

= [24-9] / 7²

= 15 / 49

Therefore, f'(4) = 15/49 is the required answer.

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The value of PC is 40 when C is the circumcenter of triangle PQR.

Given that,

Consider the complete question is

C is the circumcenter of triangle PQR.

PC=3x-7

RC=5x-15 &

QC= 51-x

We have find the side PC.

A triangle's vertices are equidistance spaced from its circumcenter.

PC=RC=QC

RC=QC

5x-15= 51-x

5x+x= 51+15

6x=66

x=11

The value of x is 11.

We must determine PC's worth.

Substitute x=11 in the above equation.

PC= 3x+7

PC= 3(11)+7

PC=33+7

PC= 40

Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.

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Therefore, the closest point to P in the subspace W is approximately (0.259, 0.309, -0.581).

To find the closest point to a given point in a subspace spanned by a set of vectors, we can use the projection formula. Let's denote the given point as P and the subspace as W, spanned by the vectors v₁ and v₂.

The projection of P onto W can be calculated using the formula:

projᵥ(P) = ((P·v₁) / (v₁·v₁)) * v₁ + ((P·v₂) / (v₂·v₂)) * v₂,

where · represents the dot product.

In this case, the given point P is (4, 4, 8) and the subspace W is spanned by the vectors v₁ = (5, 1, -2) and v₂ = (-6, 28, -2).

First, we need to calculate the dot products and the denominators for the projection formula:

P·v₁ = 4 * 5 + 4 * 1 + 8 * (-2) = 20 + 4 - 16 = 8,

P·v₂ = 4 * (-6) + 4 * 28 + 8 * (-2) = -24 + 112 - 16 = 72,

v₁·v₁ = 5 * 5 + 1 * 1 + (-2) * (-2) = 25 + 1 + 4 = 30,

v₂·v₂ = (-6) * (-6) + 28 * 28 + (-2) * (-2) = 36 + 784 + 4 = 824.

Now we can substitute these values into the projection formula to find the closest point to P in the subspace W:

projᵥ(P) = (8 / 30) * (5, 1, -2) + (72 / 824) * (-6, 28, -2).

Calculating each component separately:

projᵥ(P) = (8/30) * (5, 1, -2) + (9/103) * (-6, 28, -2),

projᵥ(P) = (40/150, 8/30, -16/30) + (-54/824, 252/824, -18/824),

projᵥ(P) = (40/150 - 54/824, 8/30 + 252/824, -16/30 - 18/824),

projᵥ(P) = (32760/123000 - 810/123000, 6520/123000 + 31500/123000, -49280/123000 - 22140/123000),

projᵥ(P) = (31950/123000, 38020/123000, -71420/123000),

projᵥ(P) ≈ (0.259, 0.309, -0.581).

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