A car dealership sells suvs and passenger cars. for a recent year,80 more subs were sold than passenger cars. if a total of 310 vehicles were sold, determine the number of each type of vehicle sold

The issue is about finding the sample size required for research of UF Greek students' drinking habits in order to estimate the real average number of alcoholic beverages drank in a one-week period within a particular margin of error and degree of confidence. The preliminary investigations' known standard deviation is also presented.

It is stated in the question that,

Standard deviation (σ) = 6.3

The margin of error (E) = 0.5

Confidence level = 95%

To find: Sample size (n)

The formula for sample size:

n = (Z^2 * σ^2) / E^2

where Z is the z-score matching the desired degree of confidence.

From the z-table, we find that the z-score for a 95% confidence level is 1.96.

Substituting the values, we get:

n = (1.96^2 * 6.3^2) / 0.5^2

n = 49

Therefore, a sample size of 49 students should be selected to estimate the true average number of alcoholic drinks all UF Greek students have in a one-week period within 0.5 drinks with a 95% probability.

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The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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Answer:

about 85%

Step-by-step explanation:

(98/114)*100=85.96%

Answer:

the answer is B.

Step-by-step explanation:

the formula for circumference of a circle is \(\pi\)×diameter=C

\(\pi\)·8=25.13

\(\pi\)·4=12.56

12.56·2=25.13

The combined area of all the circles is 907.46 sq. cm.

The area of a given circle is the amount of space that the circle would cover in a 2 dimensional plane. The area of a circle can be determined by;

area of a circle = π r^2

In the given question, the diameters of the circles form a segment that is 68 cm. Thus;

diameter of one circle = 68/ 4

                       = 17 cm

So that,

radius of each circle = diameter/ 2

                                  = 17/ 2

                                  = 8.5 cm

area of each circle = 3.14 *(8.5)^2

                               = 226.865

The area of the circles combined = 4*226.865

                                   = 907.46

The combined area of all the circles is 907.46 sq. cm.

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The type of triangle defined by the following set of side lengths is an obtuse triangle

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

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The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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Answer:

(B.) f(x) = |x|

Step-by-step explanation:

Just took the test%

Answer:

Step-by-step explanation:

7cm + 16cm = 23cm

138cm² x 2 = 276cm

276cm divide by 23cm = 12

Area of trapezoid = 138 cm²

\( \boxed{Area = \dfrac{1}{2} \times (a + b) \times h}\)

Height of Trapezoid = 12 cm

\(\mathrm{ \#TeeNForeveR}\)

Answer:

Probability of drawing an odd number.

Number of odd numbers = 5

Number of numbers in the set = 10

So it's a 5 in 10 chance or 1 in 2 chance.

Probability of drawing a multiple of 3.

Multiples of 3 in the set = 3, 6 and 9 = 3 multiples of 3

Number of numbers in the set = 10

So it's a 3 in 10 chance

There to distribute three different teddy bears and nine identical lollipops to four children is a) 14080,

Since we have given that Number of teddy bears = 3

Number of identical lollipops = 9

Therefore, the Total number of things

= 3+9

=12

Number of children = 4

(a) Without restriction?

A number of ways would be 4³ x 12c3

= 14080

Therefore, a) 14080,

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As a result, 390 cm equals the length x to the nearest whole number as a right triangle is equal to the sum of the squares of the other two sides .

The relation between the opposite sides of a right triangle is a central idea in mathematics known as Pythagoras' theorem. According to this rule, the square of the hypotenuse's length—the side that faces the right angle—in a right triangle is the same as the total of the squares of both the lengths of the other two sides. The following is a mathematical formulation of the theorem   where a and b are really the lengths of the right triangle's two shorter sides (called its legs), and c is the height of the hypotenuse.

given

The Pythagorean theorem, which asserts that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle is equal to the sum of the squares of the other two sides, can be used to determine the length x.

cos 34°= b/h

that is 0.829 = 450 cm/ h

h = 450/0.829

h = 542cm

sin 34° = p/h

that is, sin34° = x/542

0.559=x/542

so, x= 542×0.559

x= 390 cm

As a result, 390 cm equals the length x to the nearest whole number as a right triangle is equal to the sum of the squares of the other two sides .

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The value of x is 13.

Given,

Q is the midpoint of P and R.

PR = 9x - 31 and QR = 43

We need to find the value of x.

We have,

<------9x - 31-------------->

P_______Q_______R

                  <-----43------>

Since Q is the midpoint of P and R.

PQ = QR = PR/2

Now,

QR = PR/2

43 = (9x - 31) / 2

Multiplying 2 on both sides

43 x 2 = 9x - 31

86 = 9x - 31

Adding 31 on both sides

86 + 31 = 9x - 31 + 31

117 = 9x

Dividing by 9 into both sides

117/9 = 9x/9

13 = x

x = 13

Thus the value of x is 13.

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Answer:

no solution

Step-by-step explanation:

- 27 does not = -8 so there is no solution for the equation

If the solution is not correct then there is no solution    

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

Answer:

i think 18

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.

-> TIPS: 4x 1,50= 6 (dollars)

-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)

-> 1 SALAD: 48/4=12

-----------linear equation:-------------

54 = 4 x 1,5 + 4 x c

54 = 6 + 4c

48 = 4c

12 = c

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.

The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.

To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:

int num[10] = {88, 92, 75, 95, 82};

In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.

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Triangles ABC and DEF are mathematically similar. The area of triangles ABC is 34cm^2. Calculate the area of triangle DEF from the picture.

The required Area of Triangle DEF is 51cm square.

Given that,

The triangles ABC=DEF

Then, height of ABC= height of DEF

By the given picture we have

CB = 9cm

FE =13.5cm

Area of ABC= 34cm square

According to the question,

The area of a triangle= \(\frac{1}{2}\) × base × height,

Again, Area of ABC =  \(\frac{1}{2}\) × base × height= 34cm square

=  \(\frac{1}{2}\) × 9cm × height= 34cm square

=  \(\frac{9}{2}\) cm × height= 34cm square

=  Height= \(\frac{34cmsquare}{\frac{9}{2} }\)

= Height = \(\frac{68}{9}\)cm.

The height of the triangle ABC is \(\frac{68}{9}\)cm.

Therefore,

Area of DEF = \(\frac{1}{2}\) × base × height

= \(\frac{1}{2}\) × 13.5cm × (\(\frac{68}{9}\))cm

= 51cm square

Therefore, the Area of Triangle DEF is 51cm square.

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if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Below we have prove that an odd number squared is always equal to a multiple of 8 plus 1.

We can define an odd number as:

x = 2n + 1

Where n is an integer number.

If we square that, we will get:

(2n + 1)^2 = (2n + 1)*(2n + 1) = (2n)*(2n) + (2n)*1 + 1*(2n) + 1

= 4n^2 + 4n + 1

= 4n*(n + 1) + 1

Now, notice the following.

4*b

Is a multiple of 8 always that b is even.

In the case:

4*n*(n + 1)

n*(n + 1) = b

n*(n + 1) is even if n = even or if n = odd.

Then 4*n*(n + 1) is always a multiple of 8.

Then:

4*n*(n + 1) + 1

Is always a multiple of 8 plus 1.

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The answer of the given question based on the differential equation is , the solution of the given initial value problem is: y = (-16/7)e-5t + (30/7)e2t

The given differential equation is:

y'' + 3y' - 10y = 0

(a) Find the general solution to this differential equation.

The auxiliary equation is:

r2 + 3r - 10 = 0

Factorizing the above equation, we get:

(r + 5)(r - 2) = 0r = -5 or r = 2

Thus, the general solution of the given differential equation is given by:

y = c1e-5t + c2e2t

(b) Solve the initial value problem corresponding to y(0) = 2 and y′(0) = 10

To solve the initial value problem, we need to find the values of c1 and c2.

Substituting t = 0 and y = 2 in the above general solution, we get:

2 = c1 + c2 ........(1)

Differentiating the above general solution, we get:

y' = -5c1e-5t + 2c2e2t

Substituting t = 0 and y' = 10 in the above equation, we get:

10 = -5c1 + 2c2 .........(2)

On solving equations (1) and (2), we get:

c1 = -16/7 and c2 = 30/7

Thus, the solution of the given initial value problem is: y = (-16/7)e-5t + (30/7)e2t

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Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

hello

so these angles you can apply the "vertically opposite angles are equal" rule

angle "A" is vertically opposite to 138º so therefore angle "A" is 138º

angle "B" is verticall opposite to 42º so therefore angle "B" is 42º

hope this helped and have good day :)

Answer:

230 for Daughter and son each

Step-by-step explanation:

for apples=he spend Rs 300

sugar=Rs 240

Rs 1000

then remaining is 460 divided equally is

230 for each

love maths!

Answer:

$3300 at 4%

$11700 at 7%

Step-by-step explanation:

Total investment = $15000

Total simple interest on investment = $951

Investment A:

Rate = 4% =0.04

Investment B:

Rate = 7% =0.07

Simple interest (S. I) = principal * rate * time

(S. I on investment A + S. I on investment B)

Let principal amount in investment A = A

principal amount in investment B = B

(A * 0.04 * 1) + (B * 0.07 * 1) = $951

0.04A + 0.07B = $951 - - - - (1)

A + B = $15000 - - - - (2)

from (2)

A = 15000 - B

Substitute A = 15000 - B into (1)

0.04(15000 - B) + 0.07B = 951

600 - 0.04B + 0.07B = 951

600 + 0.03B = 951

0.03B = 951 - 600

0.03B = 351

B = 351 / 0.03

B = $11700

From (2)

A + B = $15000

A + $11700 = $15000

A = $(15000 - 11700)

A = $3300