(Car Sales) Of the cars sold during the month of July, 85 had air conditioning, 102 had automatic transmission, and 54 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 25 cars had only air conditioning, 56 cars had only automatic transmissions, and 26 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had exactly two of the given options

Answer:

Wait,

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of base ON of trapezoid LMNO is 17 units

We know that the median theorem of trapezoid, which states that the median of a trapezoid is parallel to each base. Also, the length of the median equals one-half the sum of the lengths of the two bases.

Consider the following diagram of trapezoid LMNO with bases LM and ON , and Median PQ.

Given that the equations for the bases and median of trapezoid LMNO .

PQ = t +6, LM = t +3 and ON = 3t – 7

From above theorem,

PQ = 1/2 (LM + ON)

t + 6 = 1/2 ( t + 3 + 3t - 7)

2(t + 6) = 4t + 3 - 7

2t + 12 = 4t - 4

4t - 2t = 12 + 4

2t = 16

t = 8 units

So, ON = 3t - 7

ON = 3(8) - 7

ON = 24 - 7

ON = 17 units

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The given two functions are said to be equal functions if and only if both it's domain and range are equal.

In mathematics we use functions to show the relation between two objects.

They are used in various aspects of real life. The domain of a function is known as all the possible input values which can be given to the function.

The range of the function is the set of all the possible outputs which can be obtained from a function. We also have co-domain of a function which can be defined as the set of outputs for a relation or function , it can be equal to the range.

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Answer:

y = - 3

Step-by-step explanation:

Call the line y = a + bx (d)

Since d go through (-7;-3) so -7 = a - 3b (1)

Since d go through (8;-3) so 8 = a - 3b (2)

From (1) and (2), we have equations: [tex]\left \{ {{a - 3b = -7} \atop {a - 3b = 8}} \right.[/tex]

Solve the equations, we have [tex]\left \{ {{a = 0} \atop {b = -3}} \right.[/tex]

Answer:

74

Step-by-step explanation:

You subtract 43 from 12 you get 31 then you add 43 and 31 you get 74 bye

Answer:

c=35 degrees

Step-by-step explanation:

Its a right angle triangle which is equal to 90 degrees

so 43 +12=55 degrees.

90-55=35 degrees

c=35 degrees

It's the 4th option.

Step-by-step explanation:

Corresponding angles are congruent, so x =43. I hope this helps, have a great day!

Answer:

10.6 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

21.7

Use the cosine function, which is the ratio (adjacent side) / (hypotenuse).

Here we have cos 37 degrees = adj / hyp = 17.3 / x, and so

 x            1        

------ = -------------------

17.3       cos 37 deg

Then the hypotenuse length, x, is 17.3 / 0.799 = 21.7

The plot for histogram is given below. Through digits distribution it can be seen that last digit of height of many students are same and the heights appear to be reported.

What is frequency distribution?

To make the information easier to understand, frequency distributions are visual displays that organise and present frequency counts. Absolute frequencies as well as relative frequencies, such as percentages or ratios, can be displayed in frequency distributions.

The table of data is given below.

According to the table the histogram is plotted.

The graphic representation of data points arranged into user-specified ranges is called a histogram. The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organising them into logical ranges or bins.

The digits distribution show that the maximum number of students have a height whose last digit is 3.

The heights appears to be reported by the students and not actually measured as maximum of them are having same last digit which corresponds to the possibility that the first digit might be different. This is a possible example of a survey.

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Answer: the answer is 5

Step-by-step explanation:

17-(6*2)

17-12

The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.

It is used to calculate the power to which a number must be raised to get a particular result.

For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.

It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.

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Answer:

936

Step-by-step explanation:

First calculate the volume of each container. to calculate volume, multiply the length * width * height.

For Container A, the volume is 13 * 19 * 25 = 6175 inches.

For Container B, the volume is 13 * 13 * 31 = 5239 inches.

6175 - 5239 = 936 so the volume Container A is 936 cubic inches greater than the volume of Container B.

Answer:

16.5 inches

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 13² = 21²

a² + 169 = 441

Subtract 169 from both sides

a² = 272

Take the square root of both sides

a = 16.4924225025

Rounded

a = 16.5 inches

There is no single answer to this question. It depends on what values are chosen for x and y , equation has an infinite

The equation 5x + 2y = -7 is an indeterminate equation with two unknowns, x and y. This means that the equation has an infinite number of solutions, depending on the values of x and y. For example, if x = 3 and y = -2, then the equation would be satisfied. If x = 2 and y = -3, then the equation would also be satisfied. Therefore, the number of solutions for this equation is infinite.There is no single answer to this question. It depends on what values are chosen for x and y.

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The members voted 2 more for mars than earth.

The Solar System has at least eight planets: the terrestrial planets Mercury, Venus, Earth and Mars, and the giant planets Jupiter, Saturn, Uranus and Neptune.

Given here, Mars has 8 votes while earth has 6 votes

Thus difference in votes is =8-6

                                              = 2

Hence, Mars got two more members than earth

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Answer:

25.9%

Step-by-step explanation:

10/22 x 12/21 = 25.9%

Answer:

c

Step-by-step explanation:

the theoretical guess would be a 50/50 split for heads and tail, but tails was landed on less than 50 times, so heads landed more. the answer would be c. hope this helps

Answer:

This False because 2 x 5 does not equal 5

Step-by-step explanation:

Hope this helps :)

it would be 3,087

--------------------------

have a great morning/afternoon/evening!! <3

- berry

Answer:

9*7^3

Step-by-step explanation:

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer:

Step-by-step explanation:

A scatter plot is a chart type that is normally used to observe and visually display the relationship between variables. It is also known as a scattergram, scatter graph, or scatter chart

For given right triangle, the length of hypotenuse x = 4/√3

Here we have been given a 30° - 60°- 90° right triangle.

A side opposie to angle 60 degrees measures 2 units.

And x is the hypotenuse of right tirnagle.

To find the value of x, consider sine of angle 60 degrees.

sin(60°) = (opposite side of angle 60°) / hypotenuse

From tirgonometric table, sin(60°) = √3 / 2

So, above equation becomes,

√3/ 2 = 2/x

x = 2 × (2/√3)

x = 4/√3

We can see that the value of x is in in simplest radical form with a rational denominator.

Therefore, x = 4/√3

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The actual length of the car based on the model will be 350 inches.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:

= 20 ÷ 2/35

= 20 × 35/2

= 350 inches.

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Complete question

The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??

Answer:

22

Step-by-step explanation:

Mean basically just means average. To find the mean, add the numbers together and divide them by the number of numbers.

17 + 20 + 17 + 33 + 22 + 23 = 132

After that, divide by 6 since there are 6 numbers

132 ÷ 6 = 22

-------

Have a good day :)

The Greatest Common Factor (GCF) for 75 and 105, notation CGF(75,105), is 15. Explanation: The factors of 75 are 1,3,5,15,25,75; The factors of 105 are 1,3,5,7,15,21,35,105.

THANKS!

FROM CAMBRIDGE UNIVERSITY

:)

The highest common factor (HCF) of 75 and 105 is 15.

The factor of a number is a number that can divide another number perfectly without any remainder.

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A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Now, According to the question:

What does translation of coordinates mean?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Transformations of Graphs

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

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Answer:

First lets find the area of the bottom circle:

7.2 is your radius so:

7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.

lets continue:

51.84 x 3.14(pi) = 162.7776

Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.

2 x 3.14 x 7.2 = 45.216

Now lets multiply it by the height:

45.216 x 17 = 768.672

Now lets add both areas:

768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.

The equation of the line that passes through the points (-4, -6) and (9, 2) is

y = (8/13)x - 46/13.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through points (-4, -6) and (9, 2).

Let the equation of the line y = mx + c.

Now,

m = (2 + 6) / (9 + 4) = 8/13

(-4, -6) = (x, y)

-6 = (8/13) x -4 + c
-6 = -32/13 + c

c = -6 + 32/13

c = (-78 + 32)/13

c = -46/13

Thus,

The equation of the line is y = (8/13)x - 46/13.

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