The measure of one interior angle of a parallelogram is 30 degrees more than 2 times the measure of another angle. Find the measure of each angle.

Answer:

6

Step-by-step explanation:

Answer:

no solution, you have "9x -" on both sides, so the equation is false and has no solution

Step-by-step explanation:

How many solutions are there to the equation below?

9x - 16 = 9x - 23

take off 9x from both side

-16 = -23

no solution, you have "9x -" on both sides, so the equation is false and has no solution

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

1/2x + 18 = 11 - 3x

Step-by-step explanation:

x = -2

Answer: it’s 2

Step-by-step explanation:

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.

As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.

Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.

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Answer

B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

-

Based on the given information, the scale factor of the cuboid is 2.5.

What is the scale factor?

A scale factor is a number that represents the amount of magnification or reduction applied to an object, image, or geometrical shape. It is a ratio that describes how much larger or smaller an object is compared to its original size.

To find the scale factor of a cuboid, we need to compare the corresponding dimensions (length, width, and height) of the pre-image (original) and the image (after transformation).

Given that the length of the pre-image is 2 cm and the length of the image is 5 cm, we can find the scale factor as follows:

scale factor = length of image/length of pre-image

scale factor = 5 cm / 2 cm

scale factor = 2.5

Therefore, the scale factor of the cuboid is 2.5.

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The equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

Given:

(1,-5) with slope m = -1

The standard slope intercept form is y = mx + c.

substitute m = -1 and (1,-5)

-5 = -1(1) + c

-5 = -1 + c

c = -4.

y = mx + c

y = -1(x) + (-4)

y = -x - 4.

Therefore the equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

Therefore equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.

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Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

Answer:

5 unit

Step-by-step explanation:

by taking the two points and calculating their distance

length of each side of the park=

sq.rt[(6.5-2.5)^2 + (0-3)^2]

=5

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

60°

Step-by-step explanation:

∠B=(240-120)/2=120/2=60°

Answer:

-1

Step-by-step explanation:

-5 -(-4)

- 5 + 4  =    (two negatives together make a positive sign)

-1

Answer:

-1

. . .. . . . . . . . . .. . . . .

Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

The correct answer on the hours spend a fortnight in front of a screen is C. ) 80

To find out how many hours you spend in front of a screen in a fortnight, you need to add the hours you spend on the computer and the hours you spend watching TV each day and multiply that by the number of days in a fortnight.
Add the hours you spend on the computer and the hours you spend watching TV each day: 4 + 2 = 6
Multiply that by the number of days in a fortnight: 6 × 14 = 84
Subtract the hours you spend on the computer from the total hours you spend in front of a screen: 84 - 4 = 80 hence the answer is 80 hours in a fortnight.

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Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

\(y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2\)

We have the final answer as

\(y = \frac{2}{3} x - 6 \\ \)

Hope this helps you

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

Hello I'lll solve this problem.

Step-by-step explanation:

So the answer is actually C. I did the work.

The height of the 400-gallon rectangular tank with a square base measuring 3ft 9in on a side must be approximately 3.8 feet.

To determine the height of a 400-gallon rectangular tank with a square base measuring 3ft 9in on a side, we first need to convert the tank's volume from gallons to cubic feet.
Since 1 cu ft is approximately 7.48 gallons, we can calculate the volume in cubic feet as follows:
400 gallons / 7.48 gallons per cu ft ≈ 53.48 cu ft
Now, we know the base of the rectangular tank is a square with sides measuring 3ft 9in, which is equivalent to 3.75 ft (since 9 inches is 0.75 ft). The area of the square base can be calculated by squaring the length of one side:
3.75 ft * 3.75 ft = 14.06 sq ft
To find the height of the tank, we can divide the volume of the tank by the area of the base:
53.48 cu ft / 14.06 sq ft ≈ 3.8 ft
Therefore, the height of the 400-gallon rectangular tank with a square base measuring 3ft 9in on a side must be approximately 3.8 feet.

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The provided information describes a research study conducted on black cherry trees in the Allegheny National Forest, Pennsylvania.

The researchers collected data on various variables, including height, diameter, and volume, to understand the relationship between these variables.

The height of the trees was measured in feet, the diameter was measured in inches at a specific height (54 inches above the ground), and the volume was measured in cubic feet.

By collecting data on these variables from 31 black cherry trees, the researchers aimed to investigate how height and diameter relate to the volume of the trees. This information can be useful for predicting timber yield, as the volume of a tree is closely associated with its timber yield.

The study conducted by Hand in 1994 provides valuable insights into the relationship between height, diameter, and volume of black cherry trees, which can have practical applications in forestry and timber management.

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Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Given a sample of exam scores with a mean of 83.0 and a standard deviation of 16.2, we need to use Chebychev's rule to determine the lower bound on the percentage of observations that lie within two standard deviations to either side of the mean. We also need to find the value of k to be used in Chebychev's rule.

Chebychev's rule states that for any data set and any real number k greater than 1, at least 100(1 - 1/k^2)% of the observations lie within k standard deviations to either side of the mean. To find the value of k, we need to consider the worst-case scenario where the proportion of observations lying within two standard deviations to either side of the mean is minimized. In this case, we choose k to be the minimum value that satisfies the rule.

By rearranging Chebychev's rule equation, we have:

1 - 1/k^2 = 0.95

Solving for k, we find:

k^2 = 1/0.05

k^2 = 20

k ≈ 4.47

Now, we can use k in Chebychev's rule to find the lower bound on the percentage of observations that lie within two standard deviations to either side of the mean. Since k represents the worst-case scenario, the actual percentage of observations within this range will be higher. Using k = 4.47, the lower bound on the percentage of observations within two standard deviations of the mean is at least 100(1 - 1/4.47^2)% = 88.89%.

Therefore, we can conclude that at least 88.89% of the observations lie within two standard deviations to either side of the mean.

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(a) The mean of distribution is 2.

The standard deviation is σ is 0.12

The sample deviation is 0.1.

What is the standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The variation from the mean of each data point is used to determine the standard deviation, which is equal to the square root of variance.

The larger the standard deviation, the further the data points deviate from the mean, and the higher the variance overall in the data collection.

In the given question the mean weight was two ounces with a standard deviation of 0.12 ounces. .

Thus the mean of distribution is 2.

The standard deviation is 0.12.

Given that the population standard deviation is known to be 0.1 the ounce.

The sample deviation is equal to population standard deviation.

Thus the sample deviation is 0.1.

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