Assume that the car lot contains 20 percent Lincolns, 45 percent Porches, and 35 percent BMWs. Of the Lincol?
I still can't solve the problem. I did it step by step thoroughly but still get the wrong answer. Can someone help? thanks!

Assume that the car lot contains 20 percent Lincolns,

45 percent Porches, and 35 percent BMWs. Of the Lincolns,

70 percent have two airbags, 60 percent of the Porches have

two airbags, and 90 percent of the BMWs have two airbags. Furthermore,

70 percent of the Lincolns, 40 percent of the Porches, and

30 percent of the BMWs are white. The property of being white is

independent from having two airbags. You are assigned a car at random.

If the car has two airbags and is white, what is the probability that it is a Lincoln?

the answer is 44 sorry I am running late but hope this helps

The correct statement is: OD. The salesmen of company A generally sold more units than the salesmen of company B.

To compare the data, let's examine the information provided:

For Company A, the number of units sold by the salesmen are: 6, 8, 10, 12, 14, 16.

For Company B, the number of units sold by the salesmen are: 4, 6, 8, 10, 12, 14, 16.

To determine which statement correctly compares the data, we can analyze the information.

If we look at the numbers, we can see that both Company A and Company B have the same range of numbers, starting from 6 and ending at 16. However, Company A does not have a salesman who sold 4 units, while Company B does not have a salesman who sold 10 units.

To compare the means of the two companies, we can calculate them:

The mean for Company A is: (6 + 8 + 10 + 12 + 14 + 16) / 6 = 66 / 6 = 11 units.

The mean for Company B is: (4 + 6 + 8 + 10 + 12 + 14 + 16) / 7 = 70 / 7 = 10 units.

From the calculations, we can conclude that the mean number of units sold by the salesmen of Company A (11 units) is greater than the mean number of units sold by the salesmen of Company B (10 units).

Therefore, the correct statement is:

OD. The salesmen of company A generally sold more units than the salesmen of company B.

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Answer:

c. 1/4

Step-by-step explanation:

got right edge2021

The relative frequency for males in the age group 60-69 is 1/2. So, option A is the correct one.

Given that,

Total number of residents in the retirement home who are in the age group 60-69 = 10 + 10 = 20

Number of males who are in the age group 60-69 = 10

The formula to find the relative frequency is,

Relative frequency = Number of counts in the subgroup / Total counts

Substituting,

Relative frequency = 10/20 = 1/2

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Answer:

im learning about this to.It's kind of confusing but i think you use the Pythagorean theorem  

Step-by-step explanation:

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The algebraic expressions, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) and \(5x + 3\) are equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

To determine whether each expression is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\), apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify \(2x + 4y - 5 + 3x + 8 - 4y\) as follows:

Add like terms

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3\)

Next, compare or simplify where necessary each of the given algebraic expressions with \(5x + 3\)

First Option

\(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\)

Add like terms together

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3\)

Therefore, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

Second Option:

\(6xy + 3 - 4y\) (cannot be simplified further)

\(6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Third Option:

\(-8y + 5x - 3\) (cannot be simplified further)

\(-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y\)

Therefore:

Fourth Option:

\(5x + 3\)

\(5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Thus, the algebraic expressions that are equivalent to  \(2x + 4y - 5 + 3x + 8 - 4y\) are:

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To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

9514 1404 393

Answer:

  516 m  or  1235 m

Step-by-step explanation:

The height of the balloon depends on the geometry of the problem. Assuming the stations are in line with each other and the balloon, there are a couple of possible configurations that satisfy the problem description. They are shown in the attachment.

If the balloon is between the stations, the height is 516 m.

If the balloon is not between the stations, the height is 1235 m.

_____

A graphing program solves the problem nicely. If you want to solve it algebraically, You can write equations for the horizontal distance from each station to the balloon.

  d1 = h/tan(54.2°)

  d2 = h/tan(73.5°)

In one of the possible geometries, ...

  d1 + d2 = 525

  h(1/tan(54.2°) +1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(54.2°) +tan(73.5°)) ≈ 516.0 . . . meters

In the other possible geometry, ...

  d1 -d2 = 525

  h(1/tan(54.2°) -1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(73.5°) -tan(54.2°)) ≈ 1235.3 . . . meters

The balloon could be 516 or 1235 meters high.

Add the two amounts together:

0.56 + 0.27 = 0.83 pounds total

Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?

First, understand the problem.

Luis buys 0.56 pounds of power pasta.

Mariana buys 0.27 pound of power pasta.

Then, add the bus of Luis and Mariana.

Answer:

He can clean 10 pools in 25 hours.

Step-by-step explanation:

Answer:

\(\frac{25\pi}{2}\approx39.27\text{ units}^2\)

Step-by-step explanation:

I assume your problem is \(\displaystyle \int\limits^{5}_{-5} {\sqrt{5^2-x^2}} \, dx\). Recognize that \(\sqrt{5^2-x^2}=\sqrt{25-x^2}\) is a semi-circle directly above the x-axis with a radius of 5. The bounds cover the whole area of the semicircle, so its area is just half the area of a circle with a radius of 5. You probably know that the area of a circle is \(A=\pi r^2\), so the area of a semicircle would be \(A=\frac{\pi r^2}{2}\). Thus, the area using geometry is \(A=\frac{\pi (5)^2}{2}=\frac{25\pi}{2}\approx39.27\text{ units}^2\).

a. the standard deviation is approximately 25.01 and the variance is approximately 625.21.

b.the five-number summary for the data is: 30, 57, 71, 81, 98.

The standard deviation is a measurement of how widely apart a group of data points are from the mean (average) value. You can see how far each data point deviates from the mean value. When the standard deviation is minimal, the data points are densely packed around the mean; when it is great, the data points are more widely spaced from the mean. The standard deviation is a statistical concept that is frequently used to compare the degree of variability across various data sets as well as to infer and make conclusions about a population from a sample.

a. To find the standard deviation and variance for the given data, we can use the following formulas:

Variance: σ² = ∑(x - μ)² / n

Standard deviation: σ = sqrt(σ²)

where x is the data point, μ is the mean of the data, and n is the sample size.

First, we need to find the mean of the data:

μ = (30 + 35 + 43 + 44 + 47 + 48 + 54 + 55 + 56 + 57 + 59 + 62 + 63 + 65 + 66 + 68 + 69 + 69 + 71 + 72 + 72 + 73 + 74 + 76 + 77 + 77 + 78 + 79 + 80 + 81 + 81 + 82 + 83 + 85 + 89 + 92 + 93 + 94 + 97 + 98) / 40

μ = 69.3

Now, we can use the variance formula:

σ² = ∑(x - μ)² / n

σ² = [(30 - 69.3)² + (35 - 69.3)² + ... + (98 - 69.3)²] / 40

σ² = 625.21

Finally, we can find the standard deviation:

σ = sqrt(σ²)

σ = sqrt(625.21)

σ ≈ 25.01

Therefore, the standard deviation is approximately 25.01 and the variance is approximately 625.21.

b. To find the five-number summary, we need to find the minimum, maximum, median, and quartiles (Q1 and Q3) of the data:

Minimum: 30

Q1: 57

Median: 71

Q3: 81

Maximum: 98

Therefore, the five-number summary for the data is: 30, 57, 71, 81, 98.

c. To construct a boxplot for the given data, we can use the five-number summary:

Draw a number line and mark the minimum, Q1, median, Q3, and maximum.

Draw a box from Q1 to Q3.

Draw a vertical line inside the box at the median.

Draw whiskers from the ends of the box to the minimum and maximum, or to the nearest data point within 1.5 times the interquartile range (IQR).

Mark any outliers outside the whiskers.

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Answer:

The answer is s/4=7 (The last one)

Step-by-step explanation:

28/4=7 you divide the number of studens by the number of students in each group and you get the number of groups.

Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

Answer:

Cluster sampling

Step-by-step explanation:

Choosing groups and sampling whole group.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Step-by-step explanation:

2/5

do the run over rise

Answer: 35 ft

Step-by-step explanation:

Given

Vertical height from the eyes of the person to the top of the flag is \(X-5\)

Horizontal distance is \(30\ ft\)

The angle of elevation is \(45^{\circ}\)

From the figure, we can write

\(\Rightarrow \tan 45^{\circ}=\dfrac{X-5}{30}\\\Rightarrow 1=\dfrac{X-5}{30}\\\\\Rightarrow X-5=30\\\\\Rightarrow X=35\ ft\)

Answer:

$17,640

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost  is going to be $17,640.

235 ⋅ 75 = 17,625

17,625 + 15 = 17,640

Therefore, the answer is $17,640.

Answer:

i think it's (C) 4.8

\(\frac{5}{5+3} = \frac{8}{8 + y}\)

Answer:

35 degrees

Step-by-step explanation:

The sum of all angles in a triangle equals to 180

To find angle z, just subtract 55 and 90 from 180

180-55-90= 35

Angle z = 35 degrees

Hope this helps

So, how far and in what direction is she from where she started is 1.2 km South of where she started.

To answer the question, we need to know what bearing is.

This is the measure of the location of an object.

So, her net bearing is r = -(6.2 km)j + (9.3 km)j + [(-4.3 km)j]  

= -(6.2 km)j + (9.3 km)j -(4.3 km)j].

= -(1.2 km)j

Since negative j represent South direction, the woman is 1.2 km South of where she started.

So, the woman is 1.2 km South of where she started.

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The linear function that shows the proportional relationship between the distance and time is d = 100t

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

From the table given, we can find the slope of the function by using the formula

m = y₂ - y₁ / x₂ - x₁

m = 300 - 200 / 3 - 2

m = 100

To find the y - intercept,

y = mx + c

300 = 100(3) + c

300 = 300 + c

c = 300 - 300

c = 0

The equation that shows the relationship is

d = 100t

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Answer:

3

Step-by-step explanation:

  4 1/2 + 3 1/3 + 2 + 2 1/6

= 4 3/6 + 3 2/6 + 2 + 2 1/6

= 4 + 3 + 2 + 2 + 3/6 + 2/6 + 1/6

= 11 + 6/6

= 11 + 1

= 12

There are 4 numbers, therefore average = 12 ÷ 4 = 3

The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 43/4h if the area of trapezoid is 14 square units.

Given that area is equal to 1-2(\(b_{1} -b_{2}\))h and area is 14 square units.

We know that area of trapezoid is equal to (a+b)h/2.

We have to put the given equation equal to 14 to get our first equation.

14=1-2(\(b_{1} -b_{2}\))h

14=1-2\(b_{1}\)h+2\(b_{2}\)h

2\(b_{1}\)h-2\(b_{2}\)h=-13------------1

Now put the value of area in the formula of area of trapezoid.

14=\((b_{1} +b_{2})h/2\)

\(b_{1}\)h+\(b_{2}h\)=28-----------------2

Multiply equation 2 by 2 and then subtract 2 from 1

\(2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h\)=-13-56

-4\(b_{2}h\)=-43

\(b_{2}\)=43/4h

Put the value of \(b_{2}\) in 2 to get the value of \(b_{1}\).

\(b_{1} h+43/4h*h=28\)

\(b_{1}\)=69/4h

Hence The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 51/4h if the area of trapezoid is 14 square units.

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Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the file.

1700 meals flexible budget  

wages = $27920    

Cost of less variable  

Ingredient cost  =$11110  

Provinces = $380  

Different  = $1640  

Complete cost variable = $13130    

Margin of contribution = $14790.  

Costs less than fixed  

salary and pay  =  $10,400  

Utilities = $800  

rent = $2200  

Different =  $600  

Total operating cost = $14,000  

Revenue of service  =$790

Answer:

B

Step-by-step explanation:

Most reasonable

Answer:

60

Step-by-step explanation: