21. thirty-one increased by fourteen
22. the difference of sixteen and nine 23. the sum of seven, four, and eighteen 24. three times forty
25. the quotient of eighty-one and three
26. four more than the product of seven and eight
27. the cost of three slices of pizza at $2 each
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28. the number of days in six weeks

Answer: At x = -0.75

Step-by-step explanation:

Find the center of mass by plugging into the equation.

(3.0 * -7.0 + 5.0 * 3.0) / (3.0 + 5.0) = -0.75

Answer:

4

Step-by-step explanation:

.....

555

Step-by-step explanation:55

Answer:

Step-by-step explanation:

\(\sf 2n=n-2\)

Subtract n from both sides:-

\(\sf 2n-n=n-2-n\)

Simplify:-

\(\sf n=-2\)

Therefore, your answer is n = -2

_________________________

Hope it helps!

Have a great day!

Answer: | x - 2 | = 8

Answer:

a) 2/n

b)15

2/n=1/8(0.125)

x by 2

2/n=2/16

so 16-1=15 (cause only 1 blue counter).

Answer:

4’3

Step-by-step explanation:

Took test

Answer:

4’3

Step-by-step explanation:

The probability of the two individuals owning a dog is 0.4225 or 42.25% when rounded up to two decimal places.

Probability is the chance of occurrence of a possible outcome out of number of trials conducted.

Suppose that 65% of people own dogs.

If two people are randomly selected, the probability that they both own a dog is calculated as follows:

First, the probability of the first person owning a dog is 0.65.

The probability of the second person also owning a dog is also 0.65, given that the selection is random.

Thus, the probability that both of them owning a dog is:

0.65 × 0.65 = 0.4225

Therefore probability of the two individuals owning a dog is 0.4225 or 42.25% when rounded up to two decimal places.

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The relative frequencies for all pets are given-

The relative frequency for dog is 0.4.

The relative frequency for cat is 0.35.

The relative frequency for bird is 0.15.

The relative frequency for fish is 0.1

The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.

Relative Frequency = Subgroup frequency/ Total frequency.

Relative Frequency = f/ n.

where, f = total frequency

n = subgroup frequency

Calculation for the relative frequencies of the pet types:

(1) Relative frequency for dog:

Total frequency is 20.

The frequency for dog is 8.

Relative frequency for dog =  frequency for dog/total frequency

                                             = 8/20

                                             = 0.4

Relative frequency for dog = 0.4.

(2) Relative frequency for cat:

Total frequency is 20.

The frequency for cat is 7.

Relative frequency for cat =  frequency for cat/total frequency

                                             = 7/20

                                             = 0.35

Relative frequency for cat = 0.35.

(3) Relative frequency for bird:

Total frequency is 20.

The frequency for bird is 3.

Relative frequency for bird =  frequency for bird/total frequency

                                             = 3/20

Relative frequency for bird = 0.15.

(4) Relative frequency for fish:

Total frequency is 20.

The frequency for fish is 2.

Relative frequency for fish =  frequency for fish/total frequency

                                             = 2/20

Relative frequency for fish = 0.1.

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Answer:

(pound-feet)

Step-by-step explanation:

Given that:

Torque = r × F

Where ; r = radius in feet ; F = force in pounds

Hence, a possible unit measure of torque using the units provided for both force and Radius will be :

r (feet) × F (pounds) = Torque (pound-feet)

Hence, the possible unit of measure of torque = (pound-feet)

Other unit measure may be :

r (metres) × F(Newton) = Torque (newton-metre)

Answer:

B

Step-by-step explanation:

Answer:

A. It's 1/2

Step-by-step explanation:

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

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Answer:

12x-4 =80

12x =84

x. =7 ,,

A distribution of scores that is positively skewed will have a small number of scores that are very high.

In probability or statistics, skewness is the measure of the asymmetry of a random variable about its mean. There are three types of skewness. They are:

When the distributions are said to be longer on the right side of the peak, then it is known as the right-skewed distribution. When the distributions are said to be longer on the left side of the peak, then it is known as the left-skewed distribution. When the distributions are similar on both sides of the peak, then it is known as zero skew. Zero skew is symmetrical.

We can also say that if the skewness is less than zero, the distribution is positively skewed, and if the skewness is greater than zero, the distribution is negatively skewed.

Therefore, A distribution of scores that is positively skewed will have a small number of scores that are very high.

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The complete question is:

A distribution of scores that is positively skewed will have a small number of scores that:

A. are clustered around the midpoint.

B. are all the same.

C. are very high.

D. are very low.

Answer:

Since area =7.7

\(area = \frac{22}{7} {(r)}^{2} \\ {(r)}^{2} = 2.45 \\ r = 1.57\)

Then the circumference is

\(c = 2pi\times r \\ = 2 \times 3.14 \times 1.57 \\ = 9.859\)

Answer:

-60

Step-by-step explanation:

Og problem: x(2x + 2x - 8y + 16)

Substitution: 3(6 + 6 - 48 + 16)

Solve: 3(12 - 48 + 16)

3(-36 + 16)

3(-20) = -60

Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

By using formula:-

\( {\color{hotpink}\bigstar} {\boxed{\sf {\green{ slope : m = \: \frac{y_2 - y_1}{x_2 - x_1} }}}}\)

Solution:-

\( \sf \: m = \frac{y_2 - y_1}{x_2 - x_1} \)

\( \: \)

where ,

\( \: \)

\( \: \)

\( \sf \: m = \frac{( -2 ) - ( -3 ) }{1 - 2} \)

\( \: \)

\( \sf \: m = \frac{ - 2 + 3}{ \: 1 - 2} \)

\( \: \)

\( \sf \: m = \cancel \frac{1}{ - 1} \)

\( \: \)

\( \underline{\boxed{ \sf{ \blue{ \: m = -1 \: }}}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

the cat is 27 inches tall

Step-by-step explanation:

the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches

Given the data set of the number of miles that Monica walked each day, the summary is :

First sort the numbers into ascending order:

3. 2, 3. 8, 4. 1, 4. 2, 4. 7, 5, 5. 8

Min is smallest value in the data set.

Min = 3.2

Max is the largest value in the data set.

Max = 5.8

The median is the middle number which we can see to be 4. 2 .

The Q1 is the first quartile which would be:

lower half is 3.2, 3.8, and 4.1 = 3 . 8

The Q3 is the third quartile and would be the upper half is 4.7, 5, and 5.8. Q3 = 5

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Answer:  i got it

Step-by-step explanation:

i hope this helped

Answer:

400

Step-by-step explanation:

To make this easier, you could do 352+48 and get 400 like that.

One example of a phenomenon that is commonly modeled as normally distributed is the heights of adult individuals in a population. The distribution of heights in a given population tends to follow a normal or Gaussian distribution.

The normal distribution is often observed in naturally occurring phenomena due to the central limit theorem. This theorem states that when independent random variables are added, their sum tends to be approximately normally distributed, regardless of the distribution of the original variables. Many biological characteristics, including height, tend to be influenced by multiple genetic and environmental factors that can be considered as a combination of various independent variables. Consequently, when these factors combine, the resulting distribution of heights approximates a normal distribution.

Estimating the mean and standard deviation of heights:

To estimate the mean and standard deviation of heights in a population, a representative sample of individuals can be measured. This sample should ideally be randomly selected to ensure it is representative of the entire population. The mean height of the sample would provide an estimate of the population mean, while the sample standard deviation would provide an estimate of the population standard deviation.

For example, if we measure the heights of 500 individuals in a population and calculate the sample mean as 170 cm and the sample standard deviation as 10 cm, these values can be considered estimates for the population mean and standard deviation, respectively. These estimates are based on the assumption that the sample is representative of the entire population.

It's important to note that the mean and standard deviation can vary among different populations or demographic groups, such as males and females or different age ranges. Thus, specific estimates for mean and standard deviation should be obtained based on the relevant population or subgroup of interest.

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The length of the code words in this linear code is 4.

To find the length of code words in a linear code, we can use the formula:

Length of code words = log(base 2) of (number of code words)

In this case, the linear code contains exactly 16 code words and the transmission rate is 23.

Using the formula, we can calculate the length of code words as follows:

Length of code words = log(base 2) of 16
Length of code words = 4

Therefore, the length of the code words in this linear code is 4.

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The given statement is incomplete as the matrix A is not provided. We cannot determine the values of a and b without knowing the dimensions of the matrix A.

The dimensions of A will determine the number of inputs and outputs of the linear transformation T. Once we know the dimensions, we can determine the values of a and b as follows:

Let m and n be the dimensions of A, then a = n (number of inputs) and b = m (number of outputs). So, the linear transformation T: Ra --> Rb is defined as T(x) = Ax, where x is a vector of length n and A is a matrix of dimensions m x n.

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Answer:

I-

Sorry to hear that.

Answer:

its a hard knock life

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Check the picture below.

Hello!

A linear equation has the form y = ax +b.

We also can call it the slope-intercept form.

We have two points, that I will name 1 and 2:

• (x1, y1) = (3, 4)

• (x2, y2) = (8, 3)

The first step is to find the slope (variable a). We must use the formula below:

So, let's replace it with the values that we know:

Now we know variable a, we must find the variable b too. So, we can replace x and y in the equation with the coordinates of the point (x1, y1). Look:

So, the equation will be:

Look at the graph of this equation below: