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C0DE: 354162

Answer:

Scale factor is 1/4

The scale factor is 1/4.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.

Given:

As per the figure

C'D' = 3 units

and, CD = 12 units

So, Scale factor = Dimension of the new shape / Dimension of the original shape.

=3/12

=1/4

Hence, the scale factor is 1/4.

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The line of best fit model the relationship between variables on a dataset

For the line of best fit, we have the following calculation summary (from a graphing calculator)

The equation of the line of fit is represented as:

[tex]y = bx + a[/tex]

So, the equation of the line of fit is:

[tex]y = 9.15x - 12.02[/tex]

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Using the binomial distribution, it is found that there is a 0.957 = 95.7% probability that he sells less than 3 cars.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability he sells less than 3 cars is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.05)^{0}.(0.95)^{16} = 0.4401[/tex]

[tex]P(X = 1) = C_{16,1}.(0.05)^{1}.(0.95)^{15} = 0.3706[/tex]

[tex]P(X = 2) = C_{16,2}.(0.05)^{2}.(0.95)^{14} = 0.1463[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4401 + 0.3706 + 0.1463 = 0.957.

0.957 = 95.7% probability that he sells less than 3 cars.

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question

he probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 12 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answer:

Step-by-step explanation:

Answer:

The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

" is 50.3

Answer: the students are smarter than she thinks

Step-by-step explanation:

more people passed

Answer:

yes!

Step-by-step explanation:

fractions are funky but this is a characteristic of this, if you have a fraction let’s say A/B and you divide it by C/D, the denominator of the second fraction will multiply with the numerator of your first, and B and C will multiply too. Think of it as doing like a lil flip

Answer:

true

Step-by-step explanation:

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

Answer: 3x-4y-6z

Step-by-step explanation:

First collect the like terms and you get:
-2x + 5x - 2y - 2y - 2z - 4z
Add similar elements:
3x - 2y - 2y - 2z - 4z
And you do it again and you get: 3x-4y-2z-4z
then just take away -4z from -2z and you get: 3x-4y-6z

Answer:

5 miles

Step-by-step explanation:

If Tara lives 3/4 miles from the park and Nikhil lives 6 2/3 as far, then you must multiply them together: 3/4*6 2/3 = 3/4*20/3

Solve: 3/4*20/3=5

Therefore, Nikhil lives 5 miles from the park.

The miles that Nikhil lives from the park given the miles that Tara lives from the park is 5 miles.

A fraction is a number that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Multiply 3/4 by 6 2/3

3/4 x 6 2/3

3/4 x 20/3 = 5 miles

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Answer:

(6,0)

Step-by-step explanation:

Desmos Graphing Calculator

Answer: The answer is 24.6

Answer:

i think it is (-1,0) and (-6,0)

Step-by-step explanation:

i hope, this helps, if not i'm sorry

Answer:

slope = -3/5

y intercept = 4/5

Step-by-step explanation:

First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.

slope = -3/5

y intercept = 4/5

Hope this helps!

Answer:

[tex]\huge\boxed{\bf\:x = 1}[/tex]

Step-by-step explanation:

[tex]x ^ { 3 } +6x-7=0[/tex]

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

[tex](+/-)7, (+/-)1[/tex]

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

[tex]x = 1[/tex]

This means that 1 factor of the above equation will be:

[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]

We now have a quadratic equation with us. By using the biquadratic formula:  -b ± √b² - 4ac / 2a, where,

So,

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]

Here, we can see that,

[tex]x\in \emptyset[/tex]

Then, by listing out the solutions that we found, the value of x will be:

[tex]\boxed{\bf\:x = 1}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

The map is an illustration of parallel lines and a transversal

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

Some of the angle measures formed are:

Thus:

X = 180 - 75 = 105° (supplementary angles)

Y = X = 105° (corresponding angles)

Z = X = 105° (alternate exterior angles)

Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

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Answer:

Step-by-step explanation:

Circumference = πd

                        = 3.14 * 16

                        = 50.24

Answer:

Step-by-step explanation:

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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Answer:

Step-by-step explanation:

140 degrees

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Step-by-step explanation:

Answer:

6 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2 bh

applying that to this problem, we get

1/2 x 3 x 4

after multiplying then all together, you get

A=6 m^2

Answer: yes

Step-by-step explanation: they have to be past 0 to start

Answer:

y = -7x -7

explanation:

y - y₁ = m ( x - x₁ )

y - -7 = -7 ( x - 0 )

y + 7 = -7x

y = -7x -7

Or using the formula:

y = mx + b

y = -7x - 7

using this formula, if only passes y-axis, we can find equation without doing any work.

Answer:

There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.

Answer:

I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation:

Because it the only without any right angle

2 pairs of opposite angles are equal it can be parallelogram

As it has four sides it can be quadrilateral

No angle is of 90° so can't be a rectangle

4sides are congruent so it can be rhombus

it cannot be rectangle hence cannot be a square also

No opposite sides are parallel hence can't be trapezoid

Models are equations, tables and graphs that are used to represent functions.

The question is incomplete as the models are not given, so I will give a general explanation

For two models to be the same, the equations of the model must be the equivalent.

Take for instance, the following models are the same

y = 2x + 4 and y = x + x + 4 and y = 2x + 2 + 2

And the following models are different

y = 2x + 4 and y = 2^x + 4

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Answer:

Step-by-step explanation:

Since the mean is also average

You

1) Add all your values

    -----18+19+21+22+25+27+29+30+31+34

2) Then, divide [256] by how many points/numbers you have

    -----256 / 10

Your average/mean is 25.6