4 (3a + 5) = 2 (6a + 10 )

Answer:

13) 80 in sq

14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.

15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.

Step-by-step explanation:

Answer:

13) easy but long way, count all the blue squares

harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80

14) basically the harder way but fast way mentioned above

15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34

Step-by-step explanation:

13: remember, these are coordinates and not the actual number.

these are the measurements of the blue box

length, 16-2 = 14

width, 14-4=10

these are the measurements of the white box inside the blue box

length, 14-4 =10

width, 12-6=6

find area of both which comes to 140 and 60. subtract 60 from 140 to get 80

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

Mandatory, prohibition, warning, danger, fire, emergency information, and limitation are the seven types of safety signage.

Step-by-step explanation:

Answer:

10.8

Step-by-step explanation:

Answer:

no solution ..........

Answer:

7=7000

Step-by-step explanation:

To determine what the digit 7 means in 3,407,215, if we put 3,407,215 into the place value chart, we can see that the 7 appears in the units column of the thousands period.

So the digit 7 in this number means 7 thousands.

Image below.

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

No, the slope's are not the same

Short-cut explanation:

Simply count the spaces between the two lines at the very top then compare to the number of space between at the very bottom of the graph.

There are 2 spaces between the two lines at the top. There seems to be 1 and 1/2 spaces at the very bottom.

\(2\neq 1.5\) , therefore, not parallel.

If they are the same, then it is parallel. Although, in this case, it is not(Shown on the graph).

Answer:

Basic Concept:

A criterion for parallel lines is that they should have equal slopes. If the slopes of these lines is equal, these lines are parallel and are intersecting if the slopes are not equal

let the line on the left be 'line 1' and the line on the right be 'line 2'

Slope of Line 1:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (-3 , -5)              and           (0 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = -3 - 0

Δx = -3

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy = -5 - 4

Δy = -9

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -9 / -3

Slope = 3

Therefore, the slope of 'line 1' is 3

Slope of Line 2:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (0 , -6)              and           (4 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = 0 - (4)

Δx = -4

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy =  -6  - 4

Δy = -10

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -10 / -4

Slope = 5/2

Therefore, the slope of 'line 2' is 5/2

Conclusion:

We have calculated the slope of both the lines.

now, we will compare the slopes to find out if the lines are parallel or not

Slope 1 = 3

Slope 2 = 5/2

Since the slopes are NOT equal, the lines are not parallel

Answer: 2.5

Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.

The sales tax on this computer in 62 dollars and 93 cents

The given parameters

Price = $899

Tax rate = 7%

The sales tax on this computer in dollars and cents is calculated as

Sales tax = Price * Tax rate

This gives

Sales tax = $899 * 7%

Evaluate

Sales tax = $62.93

Hence, the sales tax on this computer in 62 dollars and 93 cents

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Answer:

-41, -16, 0, 12, 34

Step-by-step explanation:

If you look at a number line, negatives are below zero, so that means negatives are lower then zero. The higher the negative, the further from zero, meaning they are even more less

Answer:

-15

Step-by-step explanation:

The solution of expression for x = - 4 is,

⇒ - 15

We have to given that,

An expression is,

⇒ 2x - 7

Now, We can simplify the expression for x = - 4 as,

An expression is,

⇒ 2x - 7

Plug x = - 4;

⇒ 2 × - 4 - 7

⇒ - 8 - 7

⇒ - 15

Thus, The solution of expression for x = - 4 is,

⇒ - 15

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Answer:

Z

Step-by-step explanation:

Answer:

A=$79

Step-by-step explanation:

47+B=A=47+32=79

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In the​ poll, n=918 and x=521 who said​ "yes."

This means that \(n = 918, \pi = \frac{521}{918} = 0.5675\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

B) Identify the value of the margin of error E.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269\)

The margin of error is 0.0269.

C) construct the confidence interval.

\(\pi \pm M\)

So

\(\pi - M = 0.5675 - 0.0269 = 0.5406\)

\(\pi + M = 0.5675 + 0.0269 = 0.5944\)

The confidence interval is (0.5406, 0.5944).

Answer:

a. 100+(10x)% if x means number of days since the epidemic started.

b. 121 and 177

Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

Answer:

10 over 21

Step-by-step explanation:

Based on the data, the mean would be the best measure of center to describe a typical value in the data set.

To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.

20 ••

21 ••

22 •

23 ••••

24 •••••

25 ••

26 ••

27 •

The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Given:

Radius of circle is 4

Sol:.

In triangle ABC is a right angle triangle:

Use pythagoras theorem then:

Area of triangle is:

Perimeter of circle is:

Length of CDB is:

Perimeter of figure.

Area of figure.

Area of circle:

Area of CDB is:

Area of figure:

Perimeter of figure is 24.50 and area of figure 45.68.

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

a) The mean is 3.25

b) The standard deviation is 0.433

c) The probability that fawn will weigh exactly 3.7 kg is 0

d) The probability that a newborn fawn will be weigh between 2.9 and 3.5 is 0.4

e) The probability that a newborn fawn will be weigh more than 3.3 is 0.4667

f) The probability that a newborn fawn will be weigh more than P(x > 2.9 | x < 3.7) is 0.6667

g) The 59th percentile is 3.385

Step-by-step explanation:

a) In order to calculate the mean we would have to make the following calculation:

mean = (4 + 2.5) / 2 = 3.25

b) In order to calculate the standard deviation we would have to make the following calculation:

standard deviation = (4 - 2.5) / √(12) = 0.433

c) P(X = 3.7) = 0

d)  In order to calculate the probability that a newborn fawn will be weigh between 2.9 and 3.5 we would have to make the following calculation:

P(2.9 < X < 3.5) = (3.5 - 2.9) / (4 - 2.5) = 0.4

e) In order to calculate the probability that a newborn fawn will be weigh more than 3.3 we would have to make the following calculation:

P(X > 3.3) = (4 - 3.3) / (4 - 2.5) = 0.4667

f) P(X > 2.9 | X < 3.7) = P(X > 2.9 and X < 3.7) / P(X < 3.7) = P(2.9 < X < 3.7) / P(X < 3.7) = [(3.7 - 2.9) / (4 - 2.5)] / [(3.7 - 2.5) / (4 - 2.5)] = 0.6667

g)  In order to calculate the 59th percentile we would have to make the following calculation:

P(X < x) = 0.59

(x - 2.5) / (4 - 2.5) = 0.59

x = 3.385

Answer:

yes this person did because I have the same question

Step-by-step explanation:

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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