Solve |3x-2| = |x + 1|

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Using the normal distribution, it is found that 2.5% of the snakes are longer than 16.6 in.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

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

In this problem, the mean and the standard deviation are respectively, given by \(\mu = 15, \sigma = 0.8\).

The proportion of the snakes are longer than 16.6 in is 1 subtracted by the p-value of Z when X = 16.6, hence:

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

\(Z = \frac{16.6 - 15}{0.8}\)

\(Z = 2\)

\(Z = 2\) has a p-value of 0.975.

1 - 0.975 = 0.025 = 2.5% of the snakes are longer than 16.6 in.

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Answer:

D - 5%

Explanation:

we conclude that the equation x + 10 = 5 has only one solution, which is x = -5

Here we have the linear equation:

x + 10 = 5

In general, linear equations have only one solution, but let's solve this to see how many solutions it has.

If we subtract 10 in both sides of the linear equation, we will get:

x + 10 - 10 = 5 - 10

x = -5

So there is a single solution, which is x = -5.

Then we conclude that the equation below has only one solution.

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Answer:

She willl be $1.40 under budget

Step-by-step explanation:

8% = 8/100 = 0.08

Adding this to 100% of the price of the shoes, we get 108% = 108/100 = 1.08.

We multiply the price of the shoes by this:

45*1.08 = 48.60

Subtract this from 50:

50 - 48.60 = 1.40

Answer: 4.8

Step-by-step explanation:

Answer: it is 65 % 39/60=13/20

Step-by-step explanation: because the kids are 21/60 and the adult are 39/60

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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Answer:

Step-by-step explanation:

(3x²y²)(2x²y)

=> 3*2 + x²*x² + y²*y

=> 6 + x^4  + y^3

=> 6x^4y^3

Hope you understood!!

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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Answer:

\(x=\dfrac{32}{15}\)

Answer:

The absolute value parent function is represented by the function F(x) = |x|. This function takes any real number as input and returns the absolute value of that number as output. For example, F(5) = |5| = 5, and F(-3) = |-3| = 3. The other functions you have listed are not absolute value functions.

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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In the table, we can see that the highest number corresponds to the cats who failed. Then, if a comparative bar chart represents the data, the bar representing the number of cats that failed will be the tallest.

A. Cats who failed

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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4 is the constant of proportionality of given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

The graph of the relationships ( dogs,cost) is a line that contains the points(0,0) (3,12) and (6,24).

We need to find the constant of proportionality

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

To find the constant of proportionality, we have to divide the value of y by x.

12/3=4

24/6=4

Hence, 4 is the constant of proportionality of given graph.

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Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12=  21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393  ;   22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

The standard deviation of random variable K is 15.49  (option D ) and this can be determined by using the formula of mean and standard deviation.

Given,

The mean of geometric distribution of random variable K = 16

Formulae for finding mean,

                                      mean = 1/p

Substitute the value of the mean in the above formula in order to determine the value of 'p'.

\(16 =\frac{1}{p}\)

\(p = 0.0625\)

The formulae for standard deviation :

   S.D.=\(\frac{\sqrt{1-p} }{p}\)

Now substitute the value of p in the above equation,

S.D. \(= \frac{\sqrt{1-0.0625} }{0.0625}\)

       \(= 15.49\)

Hence, the answer is option D.

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Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

Answer:

7)B

8)B

9)A

10)C

Step-by-step explanation:

LET ME KNOW IF THIS HELPS.

After 5 years, there will be $4,528.73 in Charlie's account if no withdrawals are made.

Compound interest means addition of interest to the principal sum of a loan or deposit. To get the amount, we will use the formula \(A=P(1+r/n)^{nt}\) to get sum of money in the account.

Data:

P = 4,200, r = 1.51%, m = 4, t = 5

Plugging the values, we get:

\(A = 4200(1+0.0151/4)^{4*5}\\A = 4200* {1.003775}^{20}\\A = 4200*(1.07826994224)\\A = $4528.73375741\\A = $4528.73.\)

Complete question "A bank offers an investment account with an annual interest rate of 1.51% compounded quarterly. Charlie invests 4200 into the account for 5 years. Answer the questions below. Assuming no withdrawals are made, how much money is in Greg's account after 5 years?"

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Step-by-step explanation:

2*5*9*x = 540

x = 540/90 = 54/9 = 6

option D

Answer:

Step-by-step explanation:

The product of four numbers is 540. Three of the four numbers are 2, 5 and 9. What is the other number?

(A)90 (B)10 (C)9 (D)6​

we do the opposite, instead of multiplying we divide

540 : 2 : 5 : 9 =

270 : 5 : 9 =

54 : 9 =

6

Domain:

Range:

Function:

Domain:

Range:

Function:

Domain:

Range:

Function:

Answer:

1.56 hours

Step-by-step explanation:

300 gal × 1 min 3.2 gal × 1 hr 60 min = 1.56 hr.

Answer:

i thought the question said a 'HORSE' fills a hot tub...

Step-by-step explanation:

lol dont mind me i just want points :D

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi  = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

Answer:

d) 9/16π cm²

Step-by-step explanation:

Circumference = 3/2π cm

diameter = 3/2 cm

radius = 3/2 ÷ 2 = 3/4 cm

area = π(3/4)² = 9/16 π cm²