What is the length of \overline{E F} ?


Record your answers on a sheet of paper.

Show your work.

Answer:

blue is about 31.4

Step-by-step explanation:

orange is about 15.7

Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D

Answer:

6y

Step-by-step explanation:

uhhhh

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Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

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Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

Mean (m): 2.978

Variance (s²): 2.389

Standard deviation (s): 1.544

Mean (m):

The mean can be calculated as follows:

Mean = Σ(x * p(x))

where Σ is the summation operator, x is the value of the random variable, and p(x) is the probability of x.

In this case, the mean is calculated as follows:

Mean = (0 * 0.022) + (1 * 0.113) + (2 * 0.144) + (3 * 0.273) + (4 * 0.201) + (5 * 0.193) + (6 * 0.054) = 2.978

Variance (s²):

The variance can be calculated as follows:

Variance = Σ(x² * p(x)) - m²

where Σ is the summation operator, x² is the square of the value of the random variable, p(x) is the probability of x, and m is the mean.

In this case, the variance is calculated as follows:

Variance = (0² * 0.022) + (1² * 0.113) + (2² * 0.144) + (3² * 0.273) + (4² * 0.201) + (5² * 0.193) + (6² * 0.054) - 2.978² = 2.389

Standard deviation (s):

The standard deviation can be calculated as follows:

Standard deviation = √Variance

In this case, the standard deviation is calculated as follows:

Standard deviation = √2.389 = 1.544

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Answer:

If we draw a pair of intersecting lines, we have created two pairs of vertical angles. Here, angles AOC and BOD are a pair of vertical angles. Angles AOB and COD are also a pair of vertical angles. Notice that vertical angles are never adjacent angles.

The solution of the given system of equation are  x = 9 and y = 2.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the system of equation as;

3x-2y=23

X-3y=3

x = 3 + 3y

Now using substitution method, we get;

3x-2y=23

3(3 + 3y)-2y=23

9 + 9y - 2y = 23

7y = 23 - 9

7y = 14

y = 2

So, x = 3 + 3(2) = 9

Therefore, the solution are x = 9 and y = 2.

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Using f -statistic value relationship with population variation , the ratio of population variance lie in interval [0.1008,2.021].

0.1008 <σ₁²/σ₂²< 2.021

So, the correct option is option( d).

A professor wants to compare the variances of scores between two sections of classess.

we have

sample size for first class score (n₁) = 13

sample size for second class score (n₂) = 16

confidence interval is 99%

sample variance of first sample (s₁²) = 203.25

sample variance of second sample (s₂²)= 474.42

Using the relationship

( s₁² /s₂² )/F₁₋ₐ/₂ < σ₁²/σ₂²< ( s₁²/s₂²)/Fₐ/₂

a = 0.005

F at (1- a/2) or F₀.₉₉₅, ₁₃,₁₆= 4.249

F at a/2 or F₀.₀₀₅,₁₃, ₁₆ = 0.2118

plugging all known values in above formula

=> ( 203.25/474.42)/4.249<σ₁²/σ₂²< (203.25/474.42)/0.2118

=> 0.1008 <σ₁²/σ₂²< 2.021

=> σ₁²/σ₂² ∈[0.1008,2.021]

Hence, the ratio of population variance lies between interval [0.1008,2.021].

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We are interested in determining the value of 8 in 28.

The value of 8 in 28 is 8 units

Answer:

-2n-6

Step-by-step explanation:

Answer: -2n+7

Step-by-step explanation:

-6n+4 equals 2n

3+4 equals 7

-2n+7

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Yes, you can find the standard error now by taking the standard deviation divided by the square root of the sample size.

The standard deviation in a data set is the mean deviation of the data from their mean.

For sample size n for a data set with data points X1, X2, X3……..Xn for exact standard deviation:

1. Calculates the arithmetic mean M of the set data by adding them all and dividing by n.

M = ( X1+X2+ X3+…..+Xn) / n

2. Calculate the deviation (D) for each data point from the mean M

D = (Xi-M) for all

3. Squaring and sum of all deviations, sum of squares (SS)

4. Divide SS by n.This quantity is the sample variance V

5. Take the square root of V.

6. This quantity is the sample standard deviation, SD.

There are some specific terms and issues to consider. If you are estimating the standard deviation of a population from a sample and the population mean $ is not known, M serves as an unbiased estimate of $. Again, SS is divided by (n-1), not n.

The resulting standard deviation is an unbiased estimate of the population standard deviation based on the sample size, n. If the population mean is known, use that mean instead of the sample mean. , and the SD of the sample is only calculated for n through SS dives.

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Answer:

6x-5

Step-by-step explanation:

Alright let's begin.

6 times a number means 6 times x. So 6x.

Then when it says decreased by 5 it means you subtract 5!

Your expression would look like this:

6x-5

Hope it helps! Mark brainliest if possible

33.72 is the number between pie 21 and 3 Irrational over 2.

A number system is defined as a system of writing to express numbers.

We have to find the number between pie 21 and 3 Irrational over 2

The value of pie 21 is 65.94

3/2 is the other irrational number.

The value of 3/2 is 1.5

The number between 65.94 and 1.5 is

65.94+1.5/2

67.44/2

33.72

Hence, 33.72 is the number between pie 21 and 3 Irrational over 2.

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Answer:

8

Step-by-step explanation:

3x - 5 <19

3x <19 +5

3x <24

x <24 :3

x <8

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

For a data set of relationship between the type of college and management level, the marginal distribution with frequencies of management level high, medium and low in percents are 5.6%, 53.8% and 40.6% respectively..

The marginal relative frequency of a data set is determined by dividing the sum of a row or the sum of a column by the total number of values in a dataset. The relationship between the type of college attended (public or private).

Numbers of people = 3265

See the above table represents the different management levels ( high, medium and low) for different types of colleges. We have to calculate the marginal distribution of management level in percents. See the above figure 2 which contains all total or sum values of each row and columns.

Total frequency in this case = 3265

Number of high management level = 182

Marginal frequency Percent for high management level = \( ( \frac{182}{3265})100\)

= 5.6%

Number of medium management level

= 1756

Marginal frequency Percent for medium management = \( ( \frac{1756}{3265})100\)

= 53.8%

Number of low management level

= 1327

Marginal frequency Percent for low management = \( ( \frac{1327}{3265})100\) = 40.6%

Hence, required value is 40.6%.

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Complete question:

The above figure complete the question.

Researchers looking at the relationship between the type of college attended (public or private) and achievement gather the following data on 3265 people who graduated from college in the same year. The variable "management level" describes their job description 20 years after graduating from college. Type of College Public Private High 75 107 Medium 962 794 Low 732 595

Management level Calculate the marginal distribution of management level in percents.

Answer:

400 grams would make more sense cause 4kg is 4k grams

If David spends $10, he may call for 50 minutes.

As per the data given in the above question are as bellow,

Let x represent the duration of David's phone calls.

The following linear equation can be used to express the call's cost:

Price = x + (x - 3) (0.10)

By setting the equation's value to 10 and finding the value of x, we can determine how long David will talk on the phone if he spends $10:

10 = 0.25x + (x-3)(0.10) (0.10)

The right side of the equation is first made simpler:

10 = 0.25x + 0.10x - 0.30

Next, we may combine related words as follows: 10 = 0.35x - 0.30

10 plus 0.30 equals 0.35x when applied to both sides.

Consequently, x = 50. David talks on the phone for 50 minutes.

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Answer:

35

Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

35/5=7

Answer:

6

Step-by-step explanation:

3/4 x 8 = 3 x 8 / 4 x 1 = 24/4 = 6

In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.

To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.

Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:

Bearing of A from C = 50° + 180° = 230°

Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

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Complete question -

Answer: \(x = \frac{\pi}{4} \ \text{radians}, \ \ y = \frac{\sqrt{2}}{2}\)

Note: pi/4 radians is equal to 45 degrees

===========================================

To get this answer, you can use the unit circle to see that at 45 degrees or pi/4 radians, the sine and cosine value are both \(\frac{\sqrt{2}}{2}\)

You could also use your calculator to graph y = sin(x)-cos(x) to find the x intercept in the interval \(0 < x < \frac{\pi}{2}\) to find the approximate x intercept to be x = 0.70710678

Then note how \(\frac{\sqrt{2}}{2} \approx 0.70710678\)

-----------------------------

Or you could do the following steps

sin(x) = cos(x)

sin^2(x) = cos^2(x)

sin^2(x) = 1 - sin^2(x)

sin^2(x) + sin^2(x) = 1

2sin^2(x) = 1

sin^2(x) = 1/2

sin(x) = sqrt(1/2)

sin(x) = sqrt(2)/2

Again you'll have to turn to the unit circle, or some reference sheet, to determine the x value that makes the last equation above to be true. That x value is x = pi/4 radians.

Answer: The last, bottom, or 4th option.

Step-by-step explanation:

See attached.

    By looking through the details of the information given, we can narrow down the correct answer to option 4.

Answer:

15πcm

Step-by-step explanation:

2πr = circumference

radius = 0.075m = 7.5cm

Circumference = 7.5X2π

15π cm

the answer should be 35 songs in total

Answer:

the answer is: 026 paintings and 61 bracelets

Step-by-step explanation:

20•15=300+65•7=755

25•15=375+60•7=795

26•15= 390+61•7=817

14•15= 210+41•7=497

Answer: 26 paintings and 61 bracelets

Step-by-step explanation: