Coin's family has driven 318 miles in 6 hours. If they continue at this rate how far will they travel during the next 4 hours. complete the proportional statement with the selections.

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

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Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

Step-by-step explanation:

Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x

The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x - 2x + y = - 2x + 5

y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.

Divide both sides by 3 to isolate y:

3y = − 6x + 3

\(\frac{3y}{3} = \frac{-6x + 9}{3}\)

y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.

y = -2x + 5

y = -2x + 3

These equations have the same slope, m = -2.

They have different y-intercepts.

y = -2x + 5  ⇒ The y-intercept is (0, 5), where b = 5.

y = -2x + 3  ⇒ The y-intercept is (0, 3), where b = 3.

The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.

Step 1: Write each equation in slope-intercept form.

Given system of equations:

1. 2x + y = 5

2. 3y = 9 - 6x

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite the equations in slope-intercept form:

1. 2x + y = 5

  Subtract 2x from both sides: y = -2x + 5

2. 3y = 9 - 6x

  Divide both sides by 3: y = -2x + 3

Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.

The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.

The difference in y-intercepts means that the lines are parallel and run parallel to each other.

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Answer:

x= -2/3 or x= 0.6

Step-by-step explanation:

Answer:

Yes, it is.

Step-by-step explanation:

A function is any equation that passes the vertical line test. Since it is a linear equation, the equation is a function.

Answer: 7

Step-by-step explanation:

Explanation:

If we replaced y with 3 in choice A, then we get

2y-3 = 6

2(3)-3 = 6

6-3 = 6

3 = 6

which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.

Choice C is the answer because,

11y+4 = 37

11(3)+4 = 37

33+4 = 37

37 = 37

which is true. This confirms choice C.

Answer:

Step-by-step explanation:

Initial balance:

Adding deposits:

Subtracting withdrawals:

End balance:

Answer:

\(y = -5x + 7\)

Step-by-step explanation:

Step 1:  Determine important aspects of the question

So we know that we are going to be parallel to a line with a slope of -5 which means that our slope is going to be exactly the same.  We also know that our line will pass through the point (1, 2) so we can use the point-slope formula to get our answer.

Point Slope Form → \((y-y_1)=m(x-x_1)\)

Step 2:  Plug in the values

\((y - 2) = -5(x-1)\)

\(y-2 = -5x + 5\)

\(y - 2 + 2 = -5x + 5 + 2\)

\(y = -5x + 7\)

Answer: \(y = -5x + 7\)

\({\huge{\blue{\bold{\mathfrak{Step\:by\:step\: solution}}}}}\)

To divide 80,000,000 by 200, we can follow these steps:

1. Write out the division problem: 80,000,000 ÷ 200

2. Divide the first digit of the dividend (8) by the divisor (2), which gives us 4.

3. Write 4 above the second digit of the dividend (0), which gives us 40.

4. Subtract 40 from 80, which gives us 40.

5. Bring down the next digit of the dividend (0), which gives us 400.

6. Divide 400 by 200, which gives us 2.

7. Write 2 above the 0 in the dividend, which gives us 4000.

8. Subtract 4000 from 4000, which gives us 0.

So the answer is 400,000. To write it in standard form, we move the decimal point 5 places to the left, which gives us:

\(\purple{4 \times {10}^{5}} \)

The answer is:

400,000

Work/explanation:

Divide:

80 000 000 ÷ 200

\(\sf{400,000}\)

The answer is already in standard form.

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

Line Segment EF passes through the center of the dilatation

Step-by-step explanation:

I just know...

Option (4) will be the correct option.

    Given in the question,

Option (1). E'F' is perpendicular to EF.

Since, center of dilation of ABCD is at E, E' will coincide point E.

Therefore, EF and E'F' can't be perpendicular.

Option (2). E'F' is parallel to EF.

Since, center of dilation of ABCD is at E, point E' will coincide point E.

Therefore, E'F' can't be parallel.

Option (3). E'F' intersects with point B'.

Since, center of dilation of ABCD is at E, EF will lie on E'F'.

Therefore, E'F' cant intersect point B'.

Option (4). E'F' passes through center of dilation.

Since, center of dilation of ABCD is at E, therefore, E'F' will pass through the center of dilation E.

  Therefore, Option (4) is the correct option.

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Answer

25/1 and 43/125

Step-by-step explanation:

Answer:

959,627

Step-by-step explanation:

Just add up all the numbers to make one whole number. An easy way of doing it by just adding on the non-zero digits onto 900,000.

Take the 5 from 50,000 and add it by the 9 in 900,000 to get 950,000. Do that for every other number until all the numbers are gone and you're left with 959,627.

Answer:

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. ... Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

Answer:

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

Step-by-step explanation:

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

0.9524

Step-by-step explanation:

Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533

By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.

In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.

In probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.

Here we have

At a sports event, a fair coin is flipped to determine which team has possession of the ball.

The coin has two sides, heads, (H), and tails, (T).  

From the given options correct answers are

a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).

b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.

d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.  

Therefore,

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

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Answer:

(1,2); (4,4); (1,4)

Step-by-step explanation:

Just reflect it directly across the y axis starting at x=1.

Answer:

28ft

Step-by-step explanation:

Completing the square gives

\(\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)\)

\(\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2\)

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when \(x=6\), we have \(x+2b=0\). So

\(6+2b=0\implies 2b=-6\implies\boxed{b=-3}\)

Answer:

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5  2 one cap

5 8 13   two cap

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

90min

Step-by-step explanation:

we can solve the first part by means of the rule of three:

5.3miles ----2.5 hour

3.18miles----x

then

\(x=\frac{3.18*2.5}{5.3} \\x=\frac{7.95}{5.3} \\x=1.5 hours\)

Now we must convert hours to minutes:

1.5 hours = 1.5hours (1)

1.5 hours =1.5 hours \(\frac{60min}{1 hours}\)

1.5 hours =(1.5)(60) min

1,.5 hours =90min

around 44 or above

88+85+84+84+44= 385

385/5= 77

Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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Answer:270

Step-by-step explanation:

27 x 10 = 270

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

Answer:

He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%

Step-by-step explanation:

You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.

Step-by-step explanation:

First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:

Total investment = 285,763

Fred's investment = 11,919

Investment from the three other individuals = Total investment – Fred's investment

Investment from the three other individuals = 285,763 – 11,919

Investment from the three other individuals = 273,844

Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:

Percentage of ownership = (Investment from the three other individuals / Total investment) * 100

Percentage of ownership = (273,844 / 285,763) * 100

Percentage of ownership ≈ 95.8%

So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.