Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = -X-6
Please help

The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855

a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.

b) The population deviation divided by the square root of the sample size gives the standard deviation value.

standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073

c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by

1 - P (X < x)= P (X > x)

= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:

1 -P (X - 0.7) = P (X > 0.7)

= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)

= 1 - 0.91455 = 0.0855

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

(e) It means that your grade is 2 standard deviations above the mean for this exam.

Step-by-step explanation:

Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.

Answer:

9:02

Step-by-step explanation:

If she wakes up at 9:02 then she can get ready by 9:10 and be at work by 9:33 since it takes her 23 minutes to drive to work.

The volume is simply the amount of space an object occupies.

Here , we are given the dimensions of a wastebasket shaped like a cylinder and we are then given the dimensions of a snack container shaped as a cylinder that was put inside of the waste basket. Given the following dimensions we are asked to find the volume left inside of the waste basket with the snack container inside of it.

To find this, we must find the volumes of both cylinders, we must then subtract the volume of the snack container from the volume of the wastebasket.

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire

V = π5²20

==> evaluate exponent

V = π25(20)

==> multiply 25 and 20

V = π500

==> simplify

V = 1570.8 (rounded to the nearest hundredth)

The volume of the waste basket is 1570.8 cubic inches

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire,

V = π4²6

==> evaluate exponent

V = π16(6)

==> multiply 16 and 6

V = π96

==> simply

V = 301.59 (rounded to the nearest hundredth)

The volume of the snack container is 301.59 cubic inches

Finally we can find the space left inside of the waste basked by subtracting the two volumes

The volume of the snack container = 301.59 cubic inches while the volume of the waste basket = 1570.8 cubic inches.

So remaining space = 1570.8 - 301.59 = 1269.21

The amount of space left inside of the waste basket is 1269.21 cubic inches so B is the correct answer choice.

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Applying the definition of bisection, m<ABD = 24°; m<CBD = 24°; m<ABC = 48°.

When an angle is bisected by a line segment, it means it divides the angle into two equal parts.

The angles addition postulate state that the sum of the two angles formed when an angle is bisected is equal to the measure of the angle that was bisected.

Given:

BD divides ABC into two equal angles, angles ABD and CBD.

Therefore:

m<ABD + m<CBD = m<ABC [angles addition postulate]

m<ABD = m<CBD [definition of bisector]

Substitute

3x + 6 = 7x - 18

Combine like terms

3x - 7x = -6 - 18

-4x = -24

-4x/-4 = -24/-4

x = 6

m<ABD = 3x + 6 = 3(6) + 6 = 24°

m<CBD = 7x - 18 = 7(6) - 18 = 24°

m<ABC = m<ABD + m<CBD

m<ABC = 24 + 24 = 48°

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Answer: -21

Step-by-step explanation: hope you have a good day

−7−14=−7+−14=−21

Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

Answer:

240 would be your answer

Step-by-step explanation:

Answer:

I know an Edge quiz when I see one! Imao. The answer is 100%  C. 240

Step-by-step explanation:

Have a nice day! I was just doing the volume lesson.

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25

The area is just the dimensions multiplied, so multiply 7 by 18 and you get 126.

Answer:

Step-by-step explanation:

7inchx18inch= 126inch

The greatest common factors of the triplets of natural numbers are:

Case 1: G.C.F. = 8

Case 2: G.C.F. = 14

Case 3: G.C.F. = 9

Case 4: G.C.F = 2⁴

Case 5: G.C.F. = 16

Case 6: G.C.F. = 4

Case 7: G.C.F. = 15

Case 8: G.C.F. = 1

Case 9: G.C.F. = 3

Case 10: G.C.F. = 10

Case 11: G.C.F. = 2

Case 12: G.C.F. = 1

Case 13: G.C.F. = 4

Case 14: G.C.F. = 6

Case 15: G.C.F. = 4

Case 16: G.C.F. = 8

Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.

The process to determine the greatest common factor is shown below:

Case 1

80 = 2⁴ × 5

64 = 2⁶

56 = 2³ × 7

G.C.F. = 2³

G.C.F. = 8

Case 2

56 = 2³ × 7

84 = 2² × 3 × 7

14 = 2 × 7

G.C.F. = 2 × 7

G.C.F. = 14

Case 3

45 = 3² × 5

54 = 2 × 3³

81 = 3⁴

G.C.F. = 3²

G.C.F. = 9

Case 4

64 = 2⁶

16 = 2⁴

32 = 2⁵

G.C.F = 2⁴

Case 5

48 = 3 × 2⁴

64 = 2⁶

96 = 2⁵ × 3

G.C.F. = 2⁴

G.C.F. = 16

Case 6

28 = 2² × 7

48 = 2⁴

96 = 2⁵ × 3

G.C.F. = 2²

G.C.F. = 4

Case 7

90 = 2 × 3² × 5

75 = 3 × 5²

45 = 3² × 5

G.C.F. = 3 × 5

G.C.F. = 15

Case 8

70 = 2 × 5 × 7

54 = 2 × 3²

95 = 5 × 19

G.C.F. = 1

Case 9

33 = 3 × 11

6 = 2 × 3

84 = 2² × 3 × 7

G.C.F. = 3

Case 10

30 = 2 × 3 × 5

90 = 2 × 3² × 5

70 = 2 × 5 × 7

G.C.F. = 2 × 5

G.C.F. = 10

Case 11

100 = 2² × 5²

30 = 2 × 3 × 5

2 = 2

G.C.F. = 2

Case 12

92 = 2² × 23

67 = 67

41 = 41

G.C.F. = 1

Case 13

92 = 2² × 23

16 = 2⁴

20 = 2² × 5

G.C.F. = 2²

G.C.F. = 4

Case 14

54 = 2 × 3³

60 = 2² × 3 × 5

72 = 2³ × 3²

G.C.F. = 2 × 3

G.C.F. = 6

Case 15

12 = 2² × 3

72 = 2³ × 3²

80 = 2⁵ × 5

G.C.F. = 2²

G.C.F. = 4

Case 16

80 = 2⁴ × 5

24 = 2³ × 3

48 = 2⁴ × 3

G.C.F. = 2³

G.C.F. = 8

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 The value of the simplified expression is 8√3

 Simplification is a process of reducing terms to expressions, which do not generate changes or values.

 Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.

 As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.

    Since there are no denominators, we will only decompose the square root into factors for simplicity

2(2√3) - 4(3√3)

4√3 - 12√3

8√3

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After simplifying 2√12 -4√27 the answer will be -8√3.

For simplicity, we should basically convert the square root into its factors.

Now we know that the prime factorization of 12 is, 12 =1×2×2×3.

and for 27 it is 27=3×3×3.

Now 2√12 =2\(\sqrt{2^2.3}\)=4√3.

And, 4√27 = 4\(\sqrt{3^2.3}\)=12√3.

∴2√12 - 4√27

=4√3 - 12√3

=-8√3 .

∴2√12 - 4√27 =-8√3 .

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The confidence interval for the mean of the population is approximately (20.41, 23.59), The margin of error obtained by taking half the length of the confidence interval is approximately 1.59 and The margin of error obtained by using the formula is approximately 3.244..

(a) Using the one-mean z-interval procedure, we can calculate the confidence interval for the population mean. The formula for the confidence interval is:

Confidence Interval = x ± z * (σ / √n)

where x is the sample mean, z is the critical value corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

x = 22

n = 38

σ = 5

confidence level = 95%

First, we need to find the critical value (z) for a 95% confidence level. Since the confidence level is two-tailed, we need to find the z-value that leaves 2.5% in each tail of the standard normal distribution. This corresponds to a z-value of approximately 1.96.

Substituting the values into the confidence interval formula:

Confidence Interval = 22 ± 1.96 * (5 / √38)

Confidence Interval ≈ 22 ± 1.96 * (5 / √38)

Confidence Interval ≈ 22 ± 1.96 * 0.811

Confidence Interval ≈ 22 ± 1.590

Confidence Interval ≈ (20.41, 23.59)

(b) The margin of error is obtained by taking half the length of the confidence interval. In this case, the length of the confidence interval is:

Confidence Interval Length = 23.59 - 20.41 = 3.18

Taking half of the confidence interval length:

Margin of Error = 3.18 / 2 ≈ 1.59

(c) The margin of error can also be obtained using the formula E = z * (σ / √n), where E is the margin of error, z is the critical value, σ is the population standard deviation, and n is the sample size.

E = 2 (from part b)

σ = 5

n = 38

We need to solve the formula for the critical value (z). Rearranging the formula:

E = z * (σ / √n)

z = E * (√n / σ)

Substituting the values into the formula:

z = 2 * (√38 / 5)

z ≈ 2 * 0.811

z ≈ 1.622

Therefore, the critical value (z) is approximately 1.622.

Using the formula E = 2a/2, where a/2 corresponds to the critical value, we can calculate the margin of error:

E = 2 * (1.622) ≈ 3.244

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Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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Answer:

\(\boxed{\tt{x=13}}\)

\(\boxed{\tt{x=1}}\)

Step-by-step explanation:

\(\textsf{We are asked to identify correct values for x.}\)

\(\textsf{We are given an equation and 4 values of x.}\)

\(\textsf{Let's start by Substituting.}\)

\(\textsf{Replace the value of x with a given value, or known value.}\)

\(\tt(x-7)^{2}=36\)

\(\Large\underline{\textsf{Substitute 13 into x:}}\)

\(\tt(13-7)^{2}=36\)

\(\tt6^{2}=36\)

\(\tt36=36 \ \checkmark\)

\(\Large\underline{\textsf{Substitute 1 into x:}}\)

\(\tt(1-7)^{2}=36\)

\(\tt-6^{2}=36\)

\(\textsf{Remember that -6 is being multiplied by itself. Hence, the product is positive.}\)

\(\tt36=36 \ \checkmark\)

\(\Large\underline{\textsf{Substitute -29 into x:}}\)

\(\tt(-29-7)^{2}=36\)

\(\tt(-36)^{2}=36\)

\(1296 \neq 36\)

\(\Large\underline{\textsf{Substitute 42 into x:}}\)

\(\tt(42-7)^{2}=36\)

\(\tt35^{2}=36\)

\(\tt1225 \neq 36\)

\(\large\underline{\textsf{The correct solutions are;}}\)

\(\boxed{\tt{x=13}}\)

\(\boxed{\tt{x=1}}\)

Answer:

$942.60

Step-by-step explanation:

Future Value (FV)= $1,000

Number of periods (n)= 2

Interest rate (i)= 3% = 0.03

To calculate the present value (PV), we need to use the following formula:  

FV= PV*(1í)^n  

Isolating PV:  

PV= FV/(1+i)^n

Pv=1,000/(1.03^2)

$942.60

Hope this helps, have a great day :)

Answer:

It's B

Step-by-step explanation:

I did the test

The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.

Given the points A(2, 3), B(–1, –4), and C(2, –2), the translation 1 unit left and 4 units down gives:

A'(1, -1), B'(-2, -8) and C'(1, -6)

The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)

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Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized

According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.

Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.

Therefore, the correct option is D.

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Answer:

(2x+1)(x+3)

Step-by-step explanation:

just remember to put a ^ when you do this 2x2 put it like this 2x^2

an you welcome and plz give me brainiest

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

The Multiplication property of equality refers to a mathematical concept that states that if two quantities are equal, then multiplying both sides of an equation by the same number will still result in an equal equation.


To understand and apply the multiplication property of equality, you can follow these steps:

1. Identify the given equation or problem that involves multiplication.
2. Determine the desired outcome or solve for a specific variable.
3. Use the multiplication property of equality to simplify or solve the equation.
  - If you multiply both sides of the equation by the same number, the equation will still hold true.
4. Simplify both sides of the equation by performing the multiplication.
5. Continue solving or simplifying the equation until you obtain the desired solution or value.

Remember, it's important to work through the problem step by step and show your work. This will help you understand the concept and ensure accuracy in your answers. If you're having trouble with a specific problem, feel free to ask for assistance by providing the equation or problem details.

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Answer:

6704

Step-by-step explanation:

34206-27502=x

Answer:

3/4

Step-by-step explanation:

4/4-1/4=3/4

i hoped this helped :)

Answer:

3/4

Step-by-step explanation:

The function that the analyst can use to eliminate null values from the results is ISNULL.

In many programming languages and software tools, ISNULL is a function that is used to determine whether a value is null or not. A null value is a special type of value that represents the absence of a value or the lack of knowledge about the value. Null values are often used to indicate missing or unknown data in databases and other data sources.

To eliminate null values from the results of a survey or other data set, the analyst can use the ISNULL function in combination with a selection or filtering criteria. For example, they could use a WHERE clause in a SQL query to select only the rows that do not contain null values, or they could use a FILTER function in a spreadsheet or data analysis tool to remove null values from the results.

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Answer:

\(x_1=2; x_2=-1\)

Step-by-step explanation:

The square term is \(x^2\) so we expect the complete square to be of the form \((x-a) ^2=x^2+2ax+a^2\).

Let's compare the first degree terms now: we have \(2ax\) on one side and \(-1x\) on the other. That would make \(a=- \frac12\). At this point we have still the second squared term, so we add and subtract \(\frac14 = (\frac12)^2\)

Our equation becomes:

\(x^2-x+\frac14 -\frac14-2 =0\\(x-\frac12)^2-\frac94=0\)

(the \(\frac94\) term comes from rewriting \(2= \frac84\) and adding the terms out of the bracket).

At this point it's just solving the equation:

\((x-\frac12)^2 = \frac94 \rightarrow x-\frac12=\pm\frac32\\x=\frac12\pm\frac32\\x_1=\frac42 = 2; x_2=\fra-\frac22=-1\)

Answer:

x = 9

Step-by-step explanation:

24 divided by 8 is equal to 3.

12 = x + 3 (subtract three from both sides)

9 = x

Answer:

The expression is 2k + 4.

Step-by-step explanation:

You have to collect like-terms :

(8k + 9) - (6k + 5)

= 8k + 9 - 6k - 5

= 2k + 4