What does it mean to say two variables are positively associated

Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Step-by-step explanation:

7x - 3 = 6x + 17

7x - 6x = 17 + 3

x = 20

Solution → x = 20°

Answer:

the car's angular speed is 72,000π radians per hour.

the car's linear speed is approximately 100.53 miles per hour.

Step-by-step explanation:

To find the car's angular speed in radians per hour, we can start by finding the angular speed in radians per second.

The formula for angular speed is:

ω = 2πf

where ω is the angular speed in radians per second, and f is the frequency or rate of rotation in revolutions per second.

In this case, the wheel is spinning at a rate of 10 revolutions per second, so:

ω = 2π(10) = 20π radians per second

To convert this to radians per hour, we can multiply by the number of seconds per hour:

20π radians per second × 3600 seconds per hour = 72,000π radians per hour

To find the car's linear speed in miles per hour, we can use the formula:

v = rω

where v is the linear speed, r is the radius of the wheel, and ω is the angular speed in radians per second.

The radius of the wheel is half the diameter, or 9 inches. To convert this to miles, we can divide by 12 and then by 5280:

9 inches ÷ 12 inches per foot ÷ 5280 feet per mile = 0.000142045 miles

Now we can substitute the values we have found:

v = (0.000142045 miles) × (18/2 inches) × (20π radians per second)

v ≈ 100.53 miles per hour

Answer:

(i) 10 revolutions = 10(2π) = 20π radians

10 revolutions/sec =

(20π radians/sec)(3,600 sec/hr) =

72,000π radians/hr

(ii) C = 18π inches

10 revolutions × 18π inches =

180π inches

(180π in./sec)(3,600 sec/hr) =

(648,000π in./hr)(1 mi./63,360 in.)

= 225π/22 miles/hour

= about 32.13 miles/hour

Answer:

b= -15

Step-by-step explanation:

First combine like terms 9-16= -7

Left 3b-7= -52

Next add 7 to both sides

Left 3b= -45

Finally divide

So b= -15

Answer:

  (b)  9.2 N

Step-by-step explanation:

The acceleration is the change in velocity divided by the change in time:

  a = (-4.4 m/s)/(0.072 s) = -61 1/9 m/s²

The force is given by ...

  F = ma = (0.150 kg)(-61 1/9 m/s²) = -9 1/6 N ≈ -9.2 N

The ground exerts a force of about 9.2 N upward on the egg.

Answer:

n=60

Step-by-step explanation:

2×4=8

That is what changed 2 to 8, 4

So we do: 15×4=60

I hope this helps and give brainliest!

The standard deviation and the range of the data-set are given as follows:

The standard deviation is defined as the sum of the differences squared between each observation and the mean.

The range is defined as the difference between the highest value and the lowest value in a data-set.

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Answer:

histogram

Step-by-step explanation:

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

refraction

Step-by-step explanation:

from the pf quiz

Answer:

refraction

Step-by-step explanation:

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

Answer:

janajaaajwjjwwjwjwuwjwjjw

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

The rewritten equation is: \(x = \ln{4}\)

Step-by-step explanation:

The inverse operation of the exponential is the natural logarithm, \(\ln\), and the following property is used to solve this question:

\(\ln{e^x} = x\)

In this question, we have that:

\(4e^x = 16\)

\(e^x = \frac{16}{4}\)

\(e^x = 4\)

Applying the natural logarithm to both sides:

\(\ln{e^x} = \ln{4}\)

\(x = \ln{4}\)

The rewritten equation is: \(x = \ln{4}\)

The equivalent logarithmic equation is: \(x = \log(4)\)

The exponential equation is given as:

\(4e^x=16\)

Divide both sides of the equation by 4

\(e^x=4\)

Next, take the logarithm of both sides (to convert the expression to a logarithmic expression)

\(\log(e^x)=\log(4)\)

The logarithm of e^x is x.

So, we have:

\(x = \log(4)\)

Hence, the equivalent logarithmic equation is: \(x = \log(4)\)

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Answer:

The sum of the real number (a) and its opposite real number (-a) is zero

Step-by-step explanation:

5 + (-5) = 0 and (-5) + 5 = 0

or, 5 - 5 = 0 and -5 + 5 = 0

Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.

The probability that a student chosen at random is in the choir or band or both is 0.911

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In mathematics terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain.

Total number of students in the school = 450

number of students in choir = 110

number of students in band = 240

number of students in both = 60

Probability a student chosen at random is in the choir or band or both is

110/450 + 60/450 + 240/450

= 410/450 which is 0.911

In conclusion, the probability of a student being in music, or band or both is 0.911

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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Answer:

Below

Step-by-step explanation:

That will shift the graph UP  k units

Answer:

Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.

Explanation:

If a person lives to the age of 70, they will earn $765. So, there is a 97% chance to earn $765. On the other hand, if a person dies before age of 70, they will lose $26635 because

$27,400 - $765 = 26,635

Then, there is a 3% chance to lose $26635.

Now, we can find the expected value, multiplyion each option by its probability, so:

E = $765(0.97) - (26635)(0.03)

E = $742.05 - $799.05

E = - $57

Since the sign is negative they can expect to lose money, so the answer is:

Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.

Answer:

A. (4,3)

Step-by-step explanation:

     The vertex of a parabola is the maximum or minimum point on the graph of the quadratic function aka where you just have "one value" wether than be the very top, the very bottom, etc

In summary:

Here we can see it'll be the very bottom as the parabola is angled upwards.

Looking at the graph, we can see it is 4 units to the right and 3 units up.

The first number is the x, or the right/left, so our first number is 4

The second number is our y, or the up/down, so our second number is 3

This leaves us with the point (4, 3) and an answer of A!

Hope this helps, have a nice day :D

\(t_{2(n+k)+1} \neq t_{2n+1}\), which contradicts the assumption that the sequence is periodic. Therefore, the sequence is not periodic.

A periodic sequence is a sequence of numbers that repeats itself after a certain fixed number of terms, called the period of the sequence. In other words, a periodic sequence is a sequence that has a repeating pattern.

Another example of a periodic sequence is the Fibonacci sequence modulo n, where n is a positive integer. This sequence is obtained by taking the Fibonacci sequence and computing each term modulo n. For example, the Fibonacci sequence modulo 5 is {0, 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0, 1, 1, 2, 3, ...}. This sequence has a period of 20, since it repeats itself every 20 terms.

Let's first find the first few terms of the sequence:

t₀ = 1

t₁ = 1 - t₀ = 1 - 1 = 0

t₂ = t₁ = 0

t₃ = 1 - t₂ = 1 - 0 = 1

t₄ = t₂ = 0

t₅ = 1 - t₄ = 1 - 0 = 1

t₆ = t₃ = 1

t₇ = 1 - t₆ = 0

t₈ = t₄ = 0

t₉ = 1 - t₈ = 1

t₁₀ = t₅ = 1

t₁₁ = 1 - t₁₀ = 0

t₁₂ = t₆ = 1

t₁₃ = 1 - t₁₂ = 0

t₁₄ = t₇ = 0

t₁₅ = 1 - t₁₄ = 1

t₁₆ = t₈ = 0

t₁₇ = 1 - t₁₆ = 1

t₁₈ = t₉ = 1

Looking at these terms, we can see that the sequence is not periodic because it does not repeat in a fixed cycle. However, we can also prove this more rigorously by contradiction.

Suppose the sequence is periodic with period length k, so that tₙ = \(t_{n+k}\) for all n. Then we must have:

\(t_{2n} = t_{n} = t_{n+k} =t_{2(n+k)} \\t_{2n+1} =1-t_{n} = 1-t_{n+k} = t_{2(n+k)+1}\)

Let m be the smallest odd integer such that \(t_{m}\) = 1. Then we can write m as m = 2n+1 for some n, and we have:

\(t_{2n+1} = 1-t_{n} =1\\t_{2(n+k)+1} = 1-t_{n+k}\)

But this means that \(t_{2(n+k)+1} \neq t_{2n+1}\), which contradicts the assumption that the sequence is periodic. Therefore, the sequence is not periodic.

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Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80