Which shows one way the equation can be represented in words? Z-6=14

A.The dfference of a number and z is the same as one and four-tenths.

B.Anumber subtracted from one and four-tenths is equal to six.

C.Six less than a number is the same as one and four-tenths.

D.Sx decreased by a number is equal to one and four-tenths.​

The equation of the shifted line is y = x + 2

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

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

B

Step-by-step explanation:

Answer: The width of the rectangular window is 53 cm.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

Area = Length x Width

Substituting the given values, we have:

3816 cm² = 72 cm x Width

To solve for the width, we can divide both sides by 72 cm:

Width = 3816 cm² ÷ 72 cm

Width = 53 cm

Therefore, the width of the rectangular window is 53 cm.

Considering the depreciation rate of 11%, the value of car is $11800 in 4.1 years.

Depreciation is the reduction in the value of an asset over time due to wear and tear, age, or obsolescence.

The most basic and widely used method of calculating depreciation is Annual depreciation = (Cost of asset - Salvage value) / Useful life

To find the time it will take for the value of the car to depreciate to $11,800, we can set up the following equation:

24900 - 11800 = 11000

24900 * .11 = 2679

11000 / 2679 = 4.09 years

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4,122,443

four million, one hundred twenty two thousand, four hundred fourth three

Step-by-step explanation:

follow the steps to get answer

Answer:

cylinder

Step-by-step explanation:

For fluid moving in a vector field, the flux through the rectangle's perimeter is 750.52.

Flux = ∫ F. X ds

Flux = ∫∫ delta. F da (by divergence theorem)

delta. F = d/dx(x³+4) + d/dy(ycos(3x))

            = 3x² + cos(3x)

So flux = ∫∫ 3x² + cos(3x) dy dx

            = ∫ (3x² + cos(3x)) (y)⁶₀ dx

            = 6 ∫ 3x² + cos(3x) dx

After evaluating,

             = 6(125 + sin(15)/3)

             = 750.52

Therefore, the flux through the boundary of the rectangle for fluid flowing along the vector field is 750.52

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Answer:$8.43 each

Step-by-step explanation:

$13.86+$3.00=$16.86

$16.86➗2=$8.43

Answer:

8.43

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

2/4  2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2

1/2= .5

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

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Step-by-step explanation:

hope this helps

Answer:

area of square = l²=3.5²=12.25ft²

Answer:12.25

Step-by-step explanation:

Answer: 653.12 cu in

Step-by-step explanation: had it on a test

Answer:

Yes, the new equipment appear to be effective in reducing the variation of​ weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new​ equipment, and this sample has a standard deviation of 0.047.

Let \(\sigma\) = standard deviation of weights of new equipment.

SO, Null Hypothesis, \(H_0\) : \(\sigma \geq\) 0.065      {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, \(H_A\) : \(\sigma\) < 0.065      {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here One-sample chi-square test statistics;

                           T.S. =  \(\frac{(n-1)s^{2} }{\sigma^{2} }\)  ~ \(\chi^{2}__n_-_1\)

where, s = sample standard deviation = 0.047

           n = sample of quarters = 25

So, the test statistics  =  \(\frac{(25-1)\times 0.047^{2} }{0.065^{2} }\)  ~  \(\chi^{2}__2_4\)   

                                     =  12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

Answer:

144 km

Step-by-step explanation:

Answer:

X<6 or X>24

Step-by-step explanation:

Let the probability of rolling a 5 be 1/9

and the probability of rolling doubles is 1/6

​

Two events are disjoints or mutually exclusive if the events cannot occur at the same time

It is not possible to roll botha sum of 5 and a double (as the sm is even when you roll a double) the events are mutually exclusive

​

and the probability of rolling doubles is 16

6

1

​

The dot plot that corresponds to the given data is the second dot plot

The frequency and the percent frequency distribution are shown below

The given data is

5.6   9.9   11.3   7.5    10.0  11.9  13.2  13.8  10.0   11.9

6.5   9.0   11.2   10.9  14.6   7.2  10.0   6.0  15.8   11.3

From the question, we are to construct a dot plot

Among the given options, the dot plot that corresponds to the given data is the second dot plot

b) We are to construct a frequency distribution

The frequency distribution table is shown below

Class            Frequency

6.0 - 7.9         4

8.0 - 9.9         2

10.0 - 11.9       9

12.0 - 13.9       2

14.0 - 15.9       2

Total               19

b) We are to construct a percent frequency distribution

The percent frequency distribution table is shown below

Class            Percent Frequency

6.0 - 7.9          21.1%

8.0 - 9.9         10.5%

10.0 - 11.9        47.4%

12.0 - 13.9       10.5%

14.0 - 15.9      10.5%

Total               100%

The frequency and the percent frequency distribution are shown above

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Answer:

C.No, the two triangles can only be proven congruent through SSS.

The probability of rolling a number greater than 2 is 2/3

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

Rolling a number cube once

Using the above as a guide, we have the following:

Sample space,  S = {1, 2, 3, 4, 5, 6}

In the above sample space, we have

Outcomes greater than 2 = {3, 4, 5, 6}

So, we have

P(greater than 2) = n(Outcomes greater than 2)/n(Sample space)

Substitute the known values in the above equation, so, we have the following representation

P(greater than 2) = 4/6

When evaluated, we have

P(greater than 2) = 2/3

Hence, the probability is 2/3

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The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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The given set of values :

(x, y) = ( -2, -3), ( -1, 0), (0, 3), (1, 6)

The expression for the rate pf change is :

Substitute any two coordinates from the given set of values : ( -2, -3) & ( -1, 0)

Rate of change for the given table is 3

Answer : Rate of change = 3

Answer:

Step-by-step explanation:

im traade =23423423423

Answer:

$16

Step-by-step explanation:

1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.

2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.

3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.

$16 is made in 60 minutes (1 hour).

If the same flight takes 2 hours, the airplane would need to fly at 400 km/h.

The speed with which an object or something moves works, or is capable of moving or operating.

Using the formula of the distance, as follows:

distance = speed x time

We know that the distance between Durban and Cape Town is the same for both flights (since it's the same flight), so we can set the two distances equal to each other and solve for the second speed:

distance (1 hour flight) = distance (2 hour flight)

speed (1 hour flight) x time (1 hour) = speed (2 hour flight) x time (2 hours)

800 km/h x 1 hour = speed (2 hour flight) x 2 hours

800 km = speed (2 hour flight) x 2

speed (2 hour flight) = 800 km / 2 = 400 km/h

Therefore, if the same flight takes 2 hours, the airplane would need to fly at 400 km/h.

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Answer:

5

Step-by-step explanation:

All the angles add up to 180.

9v+6+7v+4+90=180

16v+100=180

v=5

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Answer:

Observational study

Step-by-step explanation:

Answer:

D: Observational Study

Step-by-step explanation:

edg2020

He did not go around asking people how many of them buy lunch, so it is not a survey. He did not create the settings and conditions or simulate possible examples, so its not B. He did not control or change any variables, so it is not an experiment. He simply walked around and Observed people to get information for his study. Thus it is D.