Given 5x + 2y=22 and that y=1, find x

Answer:

b. Independent variable

Step-by-step explanation:

Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.

Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared. 

The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.

From the given information:

Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.

The simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

The expression is given as:

\(\frac{x^{3}-8x^{2}}{x^2-64}\)

Factor the numerator

\(\frac{x^{2}(x-8)}{x^2-64}\)

Express the denominator as a difference of two squares

\(\frac{x^{2}(x-8)}{(x-8)(x + 8)}\)

Cancel out the common factor

\(\frac{x^2}{x + 8}\)

Hence, the simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

bro i think it is −6.5 to 20 ft (−2 to 6 m)

Step-by-step explanation:

if wrong pls forgive me

mark me brainliest pls

The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Answer:

ti like ya cut g

Step-by-step explanation:

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

brainly.com/question/10703980

#SPJ2

Answer:

No,the price is not within their budget.

Step-by-step explanation:

Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000

Answer:

They are over budget by $1,232.

Step-by-step explanation:

They want to replace 144 computer monitors each for $76.

$76 * 144 = $11,232

Their budget is $10,000 so they would be over budget by:

$11,232 - $10,000 = $1,232

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

Learn more about True Statement at:

https://brainly.com/question/30414310

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

Answer:

D

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

answer issssssssssssssss on the fhoto

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

\(M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\\)

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

\(M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\\)

Now, we can calculate the coefficient of variation:

CV smokers:

\(CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387\)

CV non-smokers:

\(CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234\)

Answer:

-20

Step-by-step explanation:

36 ÷ [-3] + [-4] × 3 − [-4]

In order to calculate this expression, all we have to do is following the order of operations:

Since division and multiplication comes before addition and subtraction

Then

36 ÷ [-3] + [-4] × 3 − [-4]

= (36 ÷ [-3]) + ([-4] × 3) − [-4]

= (-12) + (-12) − [-4]

= ((-12) + (-12)) − [-4]

= (-12 − 12) − [-4]       (Recall :  + (-a) = - a )

= - (12 + 12) − [-4]

= - (24) − [-4]

= - (24) + 4       (Recall :  - (-a) = a )

= - (24 - 4)     (Recall :  -a + b = - (a - b) )

= - (20)

= -20

Correct option is C

The plot of normal distributions A and B

A has the larger standard deviation

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

The name standard deviation for SD came from Karl Pearson. I would guess no more than that he wanted to recommend it as a standard measure. If anything, I guess that references to standardization either are independent or themselves allude to SD.

Mean

In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.

Normal Distribution

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a bell curve.

The plot of normal distributions A and B

A has the larger standard deviation

Correct option is C

To learn more about Standard Deviation visit:

brainly.com/question/23907081

#SPJ4

Answer:

a. 0.0385

b. 3.44% probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

\(p = 0.43, n = 165\)

a. Calculate the appropriate standard error calculation for the data.

\(s = \sqrt{\frac{0.43*0.57}{165}} = 0.0385\)

b. What is probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home?

This is 1 subtracted by the pvalue of Z when X = 0.5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.5 - 0.43}{0.0385}\)

\(Z = 1.82\)

\(Z = 1.82\) has a pvalue of 0.9656

1 - 0.9656 = 0.0344

3.44% probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home

Answer:

9 LOL-

Step-by-step explanation:

The circumference of the larger circle is about 12.57 inches. The circumference of the smaller circle is about 3.14 inches. So, the total length of gold leaf on a tag is approximately 15.71 inches.

The circumference will be:

= 2πr

= 2 × 3.14 × 2

= 12.57 inches.

The circumference of the smaller circle will be:

= 2πr

= 2 × 3.14 × 0.5

= 3.14

The total length will be:

= 12.57 + 3.14

= 15.71 inches.

Learn more about circles on:

brainly.com/question/27991521

#SPJ1

Answer:

No. It is an inverse variation.

Step-by-step explanation:

6= xy

Making y the subject of formula:

\(y = \frac{6}{x} \)

For a direct variation, the equation would be in the form of y=kx, where k is a constant.

However, the equation above is in the form of \(y = \frac{k}{x} \).

Thus, 6=xy does not show direct variation.

Answer:

q=0.5 or 1/2

Step-by-step explanation:

5q-21/14=1

add 21/14 to both sides

5q=2.5

divide both sides by 5

q=0.5 or 1/2

Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

Answer:

Step-by-step explanation:

The zeros are where the graph intersects the x-axis

x = 0

x = 2

x = 4

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

Extra Credit

Note x = 2 is a double zero since it touches, but does not cross the x-axis

The equation is

y = -x(x - 2)²(x - 4)

Answer:

Step-by-step explanation:

Apparently, you want to solve the system of equations by multiplying or dividing one of them by a factor that will make the y-coefficients the same.

The y-coefficients are 2 and -1, so we can multiply the first by -1/2 to make it the same as the second, or we can multiply the second by -2 to make it the same as the first.

We prefer to work with integers, rather than fractions, so we choose to multiply the second equation by -2.

  -2(3x -y) = -2(4)

  -6x +2y = -8 . . . . . . . y-coefficient is the same as in the first equation

Now, we can subtract the second equation from the first to eliminate the y-terms:

  (3x +2y) -(-6x +2y) = (10) -(-8)

  9x = 18 . . . . . . . . . simplify

  x = 2 . . . . . . . . . divide by 9

Substituting this into the original second equation gives ...

  3(2) -y = 4

  6 -4 = y = 2 . . . . . . . add (y-4)

The solution is (x, y) = (2, 2).

__

Additional comments

The picture posted here has no question, so there is no way to tell how to answer it. Any answer must be provided in accordance with whatever instructions are given.

Solving these equations is somewhat easier if you make the y-coefficients opposites, rather than the same. This can be done by multiplying the second equation by 2: 6x -2y = 8. Now the equations can be added to give 9x = 18, as above.

Of course, the x-coefficients are already the same, so we can more easily eliminate the x-terms. Subtracting the second equation from the first gives ... (3x +2y) -(3x -y) = (10) -(4), or 3y = 6.

Answer:

2

Work is shown in picture

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

D 41

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180 degrees.

so, we have already 35 for one angle, that leaves 145 for the other two.

x + 2 + 2x + 20 = 145

3x + 22 = 145

3x = 123

x = 41

Answer:

C. The representative failed to have Tim initial by the fuel level on the Check-Out sheet.

Step-by-step explanation:

After reading the paragraph, we can eliminate B, by seeing that the representative did give him a copy of the Check-Out sheet, as quoted. "Since Tim didn’t have any questions, the clerk handed him the keys and a copy of the Check-Out sheet and wished him well.".

We can also eliminate A and D, as the contract stated nothing about dents or the oil level in the car.

The answer is C, as the representative failed to have Tim initial on the Check-Out sheet. That is a requirement for the contract to be valid, as stated. "The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter.". However, Tim never initialed by the fuel level, as stated here. "...the agency representative turned on the car, took note of the fuel level, and indicated it on the Check-Out sheet. Since Tim didn’t have any questions, the clerk handed him the keys and a copy of the Check-Out sheet and wished him well.". No where here does it state that Tim initialed on the Check-Out sheet, meaning that he didn't. Him not doing so invalidates the contract.