Line j has a slope of 9/8. Line k is perpendicular to. What is the slope of line K?

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

Answer: 36

Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!

Answer:

your answer is c

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find the mean, you have to add every value and then divide that number by the number of values in the data set.

Add the values:

15 + 29 + 16 + 23 + 42 + 19 = 144

Check how many values there are:

There are six values.

Divide:

144/6 = 24

The probability that the teacher chooses two girls is 3 / 5.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a teacher chooses two students in a class of 15 girls and 10 boys. The probability is calculated as:-

P = 15 / 25

P = 3 / 5

Hence, the probability is 3 / 5.

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The slope of the line is the ratio of the rise to the run, or rise divided by the run.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844)[2] and Todhunter's (1888)[3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

According to the given statements;

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points.

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Answer:

Step-by-step explanation:

This is a system of equations problem. The first equation comes from the fact that there are 5 times as many pens in box a as there are in box b; that means that if we multiply the amount in b by 5, it will be equal to what's in a:

a = 5b

That's the first equation. The second one comes from when 76 pens are moved from box a to box b. They are equal when this happens; therefore:

a - 76 = b

Using substitution:

5b - 76 = b and

4b = 76. Therefore,

b = 19.

If a = 5b, then a = 5(19) which gives us that there are 95 pens in box a.

Given that,

Let's assume there are x pens in box B.

Now, there will be 5x pens in box A.(Because there are 5 times as many pens in box A than in box B).

They had the same number of pens when Tom moves 76 pens from box A to box B.

So, after moving 76 pens from box A to box B:

Box A contains 5x-76 pens.

Box B contains x+76.

Now, Box A and Box B have the same number of pens.

We have to equate the number of pens in both boxes:

5x-76=x+76

4x=152

x=38

5x=190

Box A has 190 pens.

Answer:

12%

Step-by-step explanation:

Simple Interest Formula

\(\large \boxed{ \sf I = Prt}\)

where:

Given:

Substitute the given values into the formula and solve for r:

\(\implies \sf 104=1300r \left(\dfrac{8}{12}\right)\)

\(\implies \sf \dfrac{104}{1300}=\left(\dfrac{8}{12}\right)r\)

\(\implies \sf r=\dfrac{104 \cdot 12}{1300 \cdot 8}\)

\(\implies \sf r=\dfrac{1248}{10400}\)

\(\implies \sf r=0.12\)

Convert into a percentage by multiplying by 100:

\(\implies \sf r=0.12 \times 100=12 \%\)

Therefore, the interest rate is 12%.

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Answer:

x=48

Step-by-step explanation:

because the angles are on parallel lines, but by the different sides of the other line, they are supplementary, therefore to solve you add them and set them equal to 180. Then you simply solve for x.

x+35+2x+1=180

simplify:

3x+36=180

isolate the x term:

3x+36=180

-36. -36

3x=144

isolate the x:

3x=144

/3. /3

x=48

Answer:

8

Step-by-step explanation:

because first we will  subtract 120 from 360 after that the answer is 240 and finally now we have to divide by 30 and answer will come

Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert \(\frac{44}{55}\) into a percentage.  \(\frac{44}{55}\)  can be simplified to \(\frac{4}{5}\) which is also 80%.

Answer:

Step-by-step explanation:

44 out of 55

divide :44/55=0.8

to convert it to decimal  you multiply by 100 and put percentage next to it

0.8*100=80

%80

(a) There are numerous ways to choose the two socks: 2n(2n-1).

(b) Two with same color are always chosen:  2n (n-1).

(c) The likelihood that two socks picked have same color:(n - 1)/(2n - 1).

Let the number of white and black socks be 'n' each.

Then, total n + n = 2n socks.

(a) There are numerous ways to choose the two socks:

There are 2n methods to choose the first sock. There are 2n-1 different ways to choose the second sock.

Because it is irrelevant which socks are chosen first, according to the Fundamental Principle of Counting, there are

2n(2n-1)

Alternative approaches to choosing two socks.

(b) Regardless matter how the socks are picked, two with same color are always chosen:

There are n(n-1) distinct methods to choose two white socks plus n(n-1) different ways to choose two black socks.

n(n-1) + n(n-1)

= 2n (n-1)

Methods for choosing two socks with the same hue.

(c) The likelihood that two socks picked at random have the same color:

If there is an equal chance of choosing any two socks, the probability is:

= 2n(n - 1)/2n(2n - 1)

= (n - 1)/(2n - 1)

The likelihood that two socks picked at random have the same color: (n - 1)/(2n - 1).

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Final Price is $10.40

Step-by-step explanation:

In this question we are using the percentage formula which is y/100 times x = z

so we do 20/100 x 13 = 2.60

Now we subtract 2.6 from 13 because $2.60 was the discount price

so we get $10.40

Answer:29% or 30% rounded up

Step-by-step explanation:

Answer:

1cm, 2.4cm, 2.6cm

Step-by-step explanation:

They have to follow the pythagorean theorem a^2+b^2=c^2.

1^2+2.4^2=2.6^2 so it follows the pythagorean theorem so these three squares would form a right triangle.

Using the sides of the squares C, A and E the right triangle can be formed.

The Pythagoras theorem, often known as the Pythagorean theorem, describes the relationship between a right-angled triangle's three sides. The hypotenuse of a triangle's square is equal to the sum of the squares of its other two sides, according to the Pythagoras theorem.

Given that, triangles can be created using the sides of squares.

By applying Pythagoras theorem,

2.6²=2.4²+1²

6.76=5.76+1

6.76=6.76

Therefore, using the sides of the squares C, A and E the right triangle can be formed.

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Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

The measurement scale that provides information regarding greater than or less than, but not how much greater than or less than, is known as the ordinal scale of measurement.

In the ordinal scale, the data is ranked or ordered based on a certain characteristic or attribute, but the difference between the values or ranks is not measured or quantified. This means that the scale does not have a fixed unit of measurement, and the intervals between the values are not necessarily equal.

For example, in a survey where people are asked to rank their favorite colors, the data can be ordered from most favorite to least favorite, but we cannot infer how much more someone likes their first choice than their second choice.

The ordinal scale is used in various fields such as education, psychology, and marketing, where the data is naturally ordered but does not have a meaningful numerical value. It is often used in surveys or questionnaires where the respondents can indicate their preferences or opinions, but the differences between the options cannot be precisely measured.

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Answer:

Step-by-step explanation:

To convert degrees to radians, we can use the following formula:

Then, for 35 degrees:

Answer:

Step-by-step explanation:

Numerical data are majorly in digit form (i.e numbers), while a categorical data deals with grouped data. Thus some probable answers to the questions are:

1. Categorical data.

ii. Possible responses could be: English breakfast or Continental breakfast.

2. Categorical data.

ii. Possible responses could be: either by road or by air transportation

3. Numerical data.

ii. Possible responses could be: 6 or 10

4. Categorical data.

ii. Possible responses could be: snacks or soft drink

5. Numerical data.

ii. Possible responses could be: 20 minutes or 30 minutes

Answer:

1. Categorical data

2. Categorical data

3. Numerical data

4. Categorical data

5. Numerical Data

The condition / assumption that is NOT necessary for the two-sample inference for comparing the means of two populations is "Known population standard deviations, sigma1 and sigma2".

In the two-sample inference, we are comparing the means of two populations. There are three main conditions / assumptions that must be met in order to use this method:

1. Normally distributed data or a large enough combined sample size: This assumption is necessary because the two-sample inference is based on the central limit theorem, which states that the sampling distribution of the sample mean is approximately normal if the sample size is large enough.

2. Independent random samples: This assumption is necessary because we want to ensure that the samples are representative of the populations they are drawn from, and that the samples are not influenced by each other.

3. Equal variances: This assumption is necessary because the two-sample inference is based on the assumption that the two populations have the same variance.

The assumption of "Known population standard deviations, sigma1 and sigma2" is not necessary for the two-sample inference. In fact, we usually do not know the population standard deviations, and we use the sample standard deviations to estimate them.

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Answer:

7

Step-by-step explanation:

the answer is 7 because it is a 1 to three ratio.

Walter has 61 cents in his pocket, which is 61% of one dollar.the total value of the coins and then express it as a percentage of one dollar.

To find the percentage of one dollar that Walter has in his pocket, we need to calculate the total value of the coins and then express it as a percentage of one dollar.

The value of the penny is 1 cent, the value of the nickel is 5 cents, the value of the dime is 10 cents, and the value of the quarter is 25 cents. Adding these values together, we have:

1 cent + 5 cents + 10 cents + 25 cents = 41 cents.

Thus, Walter has 41 cents in his pocket. To find the percentage, we divide the value in his pocket by one dollar and multiply by 100:

(41 cents / 100 cents) * 100 = 41%.

Walter has 41 cents in his pocket, which is equivalent to 41% of one dollar.

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Answer:

The answer is (3,-3)

Step-by-step explanation:

y=(1/3)x-4

simplify:

y= (.3*x) -4

substitute:

-3= (.3*3) -4

solve:

PEMDAS

-3= (.3*3) -4

-3= .9 - 4

-3= -3.1

although this is not the exact same it is the closest out of all the equations therefore the best answer you have

Answer:

\(\huge\boxed{\sf 6x + 4}\)

Step-by-step explanation:

= 4(x + 3) + 2(x - 4)

= 4x + 12 + 2x - 8

= 4x + 2x + 12 - 8

\(\rule[225]{225}{2}\)

Answer:

\( {n}^{2} - 3n + 8 \\ {4}^{2} - 3(4) + 8 \\ 16 - 12 + 8 \\ 4 + 8 \\ = 12\)

(a) This statement is false. The probability of getting heads or tails on a fair coin is always 50%, regardless of previous outcomes.  

(b) This statement is true. Drawing a face card and drawing a red card from a full deck of playing cards are mutually exclusive events.

(a) The statement is false. The outcome of each coin toss is independent of the previous tosses. Therefore, the chance of getting heads on the next toss is still 50%, regardless of the outcome of the previous eight tosses.

(b) The events of drawing a face card and drawing a red card are not mutually exclusive events. There are 12 face cards in a deck of playing cards, and 6 of them are red (2 jacks, 2 queens, and 2 kings). Therefore, the probability of drawing a face card and a red card from a full deck of playing cards is:

P(face card and red card) = P(face card) x P(red card|face card)
P(face card and red card) = (12/52) x (6/12)
P(face card and red card) = 3/52 or about 5.77%

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Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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The answer is B: As the sample size increases, the sample mean approaches the population mean, which is a key principle of the law of large numbers.

The law of large numbers states that as the sample size increases, the sample mean of a random variable will converge to the population mean. This means that as we collect more data and increase the sample size, the average of the sample will become more accurate and closer to the true population mean. In this context, as the sample size increases from 10 to 100 to 999, the sample means calculated from each sample become more precise estimates of the population mean of 10.

The larger the sample size, the less variability there is in the sample mean, leading to a better approximation of the population mean. Therefore, option B is the correct choice as it reflects the concept of the law of large numbers.

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The distance between opposite corners of the trampoline is 14.4 yards.

We have,

Length of Trampoline = 12 yards

Width of Trampoline= 8 yards

Using Pythagoras theorem

a² + b² = c²

c² = 12² + 8²

c² = 144+ 64

c² = 208

c= 14.42

Thus, the distance between opposite corners of the trampoline is 14.4 yards.

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