can you help me18f=-216

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

Using PEMDAS and substituting 6 for x, the results of the mathematical operations are as follows:

PEMDAS is the order of mathematical operations that explains the correct sequential steps for evaluating mathematical expressions.

PEMDAS means that mathematical operations must follow the following order:

1) 9. x - 6 ( if x = 6)

= 9 x 6 - 6

= 54 - 6

= 48

2) 10. 7 + x ( if x = 6)

= 10 x 7 + 6

= 70 + 6

= 76

3) 11. 3x - 9 ( if x = 6)

= 11 x 3(6) - 9

= 11 x 18 - 9

= 198 - 9

= 189

4) 12. 63/x ( if x = 6)

= 12 x 63/6

= 126

5) 13. 5 + 5x + 10 ( if x = 6)

= 13 x 5 + 5(6) + 10

= 65 + 30 + 10

= 105

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Answer:

28y + 2

Step-by-step explanation:

You are supposed to subtract all of the y's and subtract 15 and 13

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The amount of cars you need to break even is 5.

To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.

Let's denote the number of cars as x.

Revenue = Number of cars × Price per wash

= x × $10

Total cost = Cost per car × Number of cars + One-time cost

= $3x + $35

To break even, the revenue should be equal to the total cost:

x × $10 = $3x + $35

Now, let's solve this equation to find the value of x:

10x = 3x + 35

Subtract 3x from both sides:

10x - 3x = 3x + 35 - 3x

7x = 35

Divide both sides by 7:

x = 35 / 7

x = 5

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Answer:

c

Step-by-step explanation:

smart boi

Step-by-step explanation:

A = (3, 6)

B = (6, 9)

C = (9, 3)

first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).

then moved left by 2 units and down by 3 units.

the dilation about the origin simply multiplies each coordinate by the scale factor.

Ad = (3×1/3, 6×1/3) = (1, 2)

Bd = (6×1/3, 9×1/3) = (2, 3)

Cd = (9×1/3, 3×1/3) = (3, 1)

to move 2 units to the left means to subtract 2 from the x coordinates.

to move 3 units down means to subtract 3 from the y coordinates.

A' = (1-2, 2-3) = (-1, -1)

B' = (2-2, 3-3) = (0, 0)

C' = (3-2, 1-3) = (1, -2)

therefore, B is the right answer option.

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

-16

Step-by-step explanation:

If y9u do 16-4=4 and then you just take the sign of the bigger number which is -16

Answer:

its probly 16

Step-by-step explanation:

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Answer:

63

Step-by-step explanation:

Rewriting input as fractions if necessary:

3/7, 1/9

For the denominators (7, 9) the least common multiple (LCM) is 63.

LCM(7, 9)

Therefore, the least common denominator (LCD) is 63.

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Answer: 3/13

Step-by-step explanation:

The temperature at 6:00 A.M. was 58° Fahrenheit. The temperature increased at a constant rate of 3° Fahrenheit every hour until 10:00 A.M. The equation below models t as a function of h where 1 is the temperature and h is the number of hours.

t = 58 + 3h

Which set represents the range of this function?​

we know that

the range, represent the possible values of y

in this problem, the range represent possible values of temperature

so

the range of the temperature is

For h=0

t=58

For h=4 hours (1000-600)

t=58+3(4)=70

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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Answer:

C. the circumference of a circle

Step-by-step explanation:

The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.

Answer:

The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\)  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)

Answer:

6.4,,,,,,,,,,,,,,****

These are just a few examples of real life situations where you might need to find the volume or surface area of a shape. There are many other situations where this knowledge is useful, including in scientific research, medical imaging, and many other fields.

In mathematics, volume is the amount of space occupied by an object or a shape. It is a measure of how much three-dimensional space an object or a shape takes up. Volume is typically measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), or cubic inches (in³).

Here,

There are many real life situations where you might need to find the volume or surface area of a shape. Here are some examples:

Packaging and Shipping: In order to package and ship products, companies need to know the volume and surface area of the products and their packaging. For example, a shipping company needs to know the volume and surface area of a package in order to determine how much space it will take up in a truck or airplane, and how much packaging material will be required.

Construction: Architects, engineers and builders need to know the volume and surface area of building materials such as concrete, steel, bricks, and insulation in order to estimate the amount of materials required for a project. They also need to know the volume of a space to determine the amount of materials required to fill it, such as the amount of concrete required to fill a foundation or the amount of insulation needed to insulate a room.

Cooking and Baking: When cooking or baking, you may need to measure the volume or surface area of a container or cooking vessel to ensure that the recipe will fit and cook or bake properly. For example, you might need to measure the volume of a baking dish to know how much batter to use, or measure the surface area of a frying pan to know how much oil is needed.

Gardening and Landscaping: In gardening and landscaping, you may need to know the volume of soil required to fill a raised bed or the surface area of a lawn in order to determine the amount of fertilizer or weed killer required.

Industrial Design: In industrial design, designers need to know the volume and surface area of products in order to determine the materials required for production and to ensure that the product will fit in its intended location. For example, a designer may need to know the volume and surface area of a water tank to determine its capacity and the amount of materials required to build it.

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Answer:

1120

Step-by-step explanation:

Given the information below:

The Relative Frequency of selling a pan style pizza =

Therefore, if Valentino's Pizzeria were to sell 4000 pizzas, the expected number of Pan style pizza sold will be:

Number of Pan Style Pizza Sold = Relative Frequency of pan Style Pizza Purchase X Total Number of Sales

They should expect to sell 1120 pan Style pizzas.

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

Step-by-step explanation:

for circle

diameter = 26 cm

radius = diamtere/2

=26/2

=13 cm

area of circle  = πr^2

=3.14^13^2

=3.14*169

=530.66 cm^2

=531 cm^2   (after round off )

area of square= l^2

=5.1^2

=26.01 mi^2

are of rectangle = l *b

=6*5.1

=30.6 m^2

area of triangle = base*height / 2

=9*6.4 / 2

=57.6 / 2

=28.8 yd^2

Answer:

He should choose the option that pays $2000 plus 2% of sales

With option 1 he would make $1550 to $1850

With option 2 he would make $2100 to $2200

Explanation:

We will calculate the minimum and maximum salary for every option. So, if sales are $5000, the salary with the first option will be:

$1250 + 6%(sales) = $1250 + 6%($5000)

= $1250 + $300

= $1550

If the sales are $10,000, then the salary will be:

$1250 + 6%(sales) = $1250 + 6%($10,000)

= $1250 + $600

= $1850

In the same, for the second option we get:

If the sales are $5000, then the salary will be:

$2000 + 2%(sales) = $2000 + 2%($5000)

= $2000 + $100

= $2100

If the sales are $10,000, then the salary will be:

$2000 + 2%(sales) = $2000 + 2%($10,000)

= $2000 + $200

= $2200

So, no matter the sales, the second option $2000 plus 2% of sales will always result in a better salary.

Therefore, the answers are:

He should choose the option that pays $2000 plus 2% of sales

With option 1 he would make $1550 to $1850

With option 2 he would make $2100 to $2200

Answer:

the answer is b, c, d, a, respectively

Answer:

A $20

A $5

And 2 ones.

add them up it =27

Step-by-step explanation:

supone que este número es sustituido por la letra m

(3xm) -28 = 89

tenemos que sumar 28 en los dos lados

3xm = 117

para saber que numero es m tenemos que dividir por 3 los dos lados

m = 117/3

m = 39

Answer:

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

80% of Americans over the age of 25 have earned a high school diploma.

This means that \(p = 0.8\)

Suppose we take a random sample of 120 Americans

This means that \(n = 120\).

Question a:

The mean is:

\(\mu = p = 0.8\)

The mean is 0.8.

Question b:

The standard deviation is:

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.8*0.2}{120}} = 0.0365\)

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Here, we have,

we know that,

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean x and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean x and standard deviation s = σ/√n .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean x=p and standard deviation s=√p(1-p)/n

80% of Americans over the age of 25 have earned a high school diploma.

This means that p=0.8

Suppose we take a random sample of 120 Americans

This means that n=120.

Question a:

The mean is:

x=p=0.8

The mean is 0.8.

Question b:

The standard deviation is:

s=0.0365

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

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Green line:

we have that

Its a vertical line (parallel to the y-axis)

the equation is

x=-1

yellow line:

Its a vertical line (parallel to the y-axis)

the equation is

x=6

red line:

Its a horizontal line (parallel to the x-axis)

the equation is

y=4

blue line:

Its a horizontal line (parallel to the x-axis)

the equation is

y=-2