Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit

The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,

Perimeter= 6 inches

A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The scale drawing of parallelogram having dimensions,

Perimeter of scale drawing of parallelogram be,

= 2 ( length + side length)

= 2( 8 + 4 )

= 2 x 12

= 24 inches

The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)

As scale factor,=  [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]

[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]

Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]

                                         = 6 inches

Hence, the perimeter of Actual logo is 6 inches.

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Answer:

x^2/6400 + y^2/900

Step-by-step explanation:

Just did the question on odyssey

The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900

The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1[/tex]....... (1)

Where x is Horizontal distance, in feet.

y is Vertical distance, in feet.

a is Horizontal semiaxis length (half-width), in feet.

b is Vertical semiaxis length (height), in feet.

We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.

a = 80

b = 30

Then the equation becomes as;

x^2/6400 + y^2/900

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Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

The given parameters are:

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

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Answer:

B C D

Step-by-step explanation:

I got it right on the quiz. :)

Answer:

nice

Step-by-step explanation:

very cool - crispin

Answer:

option (A) —Permutation.

Step-by-step explanation:

this is because permutation comes in this form and looks like that and I have learnt permutation in the past.

so yeah;

examples of permutations:

²⁰p9 ( 20 upper case, 9 lower case and p in-between)

we can solve it by

Formula: n!/(n-r)!

soooo

20!/(20-9)!

= 20!/(11)!

=20x19x18x17x16x15x14x13x12x11!/11!

we cancel out the 11!s (for easier solving)

and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)

we get,

6.09493248 x 10¹⁰

~ 6 x 10¹⁰

there you go.( I know I did a little bit too much)

Hope this helps

Good luck.

Answer:

Profit means your business is making more money than it spends to stay in business so yes.

Answer:

I think A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

A. Perpendicular Bisector Theorem :)

If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)

Answer:

(7,2)

Step-by-step explanation:

we know (7,2) is the answers based on the evidence given in the example before

Answer:

5 right/left , 3 up/down

Step-by-step explanation:

Looking at the Graph count the rise/run of a point.

Answer:

5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000

Step-by-step explanation:

The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The complete question is:

" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "

Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.

Consider the diagram attached below:

The distance D is the distance of horizon from the eyesight of viewer.

The value of h is the height of the observer.

For the triangle ABC, the length of the hypotenuse is: h + R

Other two sides which are mutually perpendicular are of length R and D.

Thus, by using Pythagoras theorem, we get:

[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]

(positive root as D is representing length, a non-negative quantity).

We're given h = 2, so we get:

[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]

6378 km = 6378000 m

[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]

3374 km = 3374000 m

[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]

C) The Moon ( 1,738 km);

1738 km = 1738000 m

[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]

D)Mars' moon Diemos ( 6 km)

6 km = 6000 m

[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]

Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

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Answer:

6mph

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

Answer:

Refer to the attachment .

_______

Hope it helps ⚜

The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10

The sample size is defined as the total number of respondents present in a sample.

If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6

The total number of students that asked questions can be determined by counting the total answers.

From the data given, the total number of students that were asked is 10

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Transforming the rectangle WXYZ involves changing the location of the rectangle

The algebraic representation of the transformation is (x, y) → (x, -y)

From the complete question, we have the coordinates of points W and Z to be:

W = (-3,1)

Z = (2,1)

And the new points are:

W = (-3,-1)

Z = (2,-1)

Notice that the x-coordinates remain the same, while the y-coordinates are negated.

This is represented as:

(x, y) → (x, -y)

Hence, the algebraic representation of the transformation is (x, y) → (x, -y)

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Answer: X/3

Step-by-step explanation:

Asher = 3 Camilla

If Asher is X, then X is 3C and C= X/3

Answer:

111

Step-by-step explanation

I took the quiz

Answer:

11117.01255

Step-by-step explanation:

V=πr^2h=π·19.3^2·9.5≈11117.01255

Answer:

>

Step-by-step explanation:

3/6 and 1/4

3/6 = 1/2

1/2 = 2/4

2/4 > 1/4

Answer:

[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]

Step-by-step explanation:

I hope I helped you! :)

Answer:

Refer to image below :

The surface area of a rectangular prism is 1220 cm^2.

A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges.

For the given situation,

A rectangular prism has dimensions,

Length = 17 cm

Breadth = 14 cm

Height = 12 cm

The formula to find the surface area is A= ( lb + bh +lh)

⇒ [tex]A=2[(17)( 14) + (14)( 12) + (17)( 12)][/tex]

⇒ [tex]A=2(238+168+204)[/tex]

⇒ [tex]A=2(610)[/tex]

⇒ [tex]A=1220 cm^{2}[/tex]

Hence we can conclude that the surface area of a rectangular prism is 1220 cm^2.

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Answer:

Ravi and Courtney

Step-by-step explanation:

Simplifying the equations

Penny

Ravi

Courtney

Edwin

Ravi and Courtney would have infinitely many solutions because they are the same equation.

Answer:

Ravi and Courtney have the same equation so they will have infinetely many solutions.

Step-by-step explanation:

Step 1:  Solve each equation for y

Penny → [tex]2x - y = 1[/tex]

           → [tex]-y + 2x - 2x = 1 - 2x[/tex]

           → [tex](-y) * -1 = (1 - 2x) * -1[/tex]

           → [tex]y = 2x - 1[/tex]

Ravi → [tex]2x + 3y = 3[/tex]

       → [tex]3y + 2x - 2x = 3 - 2x[/tex]

       → [tex](3y)/3 = (3 - 2x)/3[/tex]

       → [tex]y = -2/3x + 1[/tex]

Courtney → [tex]-4x - 6y = -6[/tex]

                → [tex]-6y - 4x + 4x = -6 + 4x[/tex]

                → [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]

                → [tex]y = -2/3x + 1[/tex]

Edwin → [tex]6x + 6y = 9[/tex]

           → [tex]6y + 6x - 6x = 9 - 6x[/tex]

           → [tex](6y)/6 = (9 - 6x)/6[/tex]

           → [tex]y = -x + 1.5[/tex]

Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.

Answer:

4. y = |x| + 2

Step-by-step explanation:

"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.

We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.

g(x) = |x - h| are for horizontal translations.

g(x) = |x| + k are for vertical translations.

The third choice is wrong as well because k is negative, not positive.

hope this helps!

Answer:

4. y = |x| + 2

Step-by-step explanation:

Using the z-distribution, it is found that the sample is enough evidence that the proportion is below 51%.

At the null hypotheses, it is tested if the proportion is of 51%, that is:

[tex]H_0: p = 0.51[/tex]

At the alternative hypotheses, it is tested if the proportion is less than 51%, hence:

[tex]H_1: p < 0.51[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, the parameters are given as follows:

[tex]p = 0.51, n = 250, \overline{p} = \frac{109}{250} = 0.436[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.436 - 0.51}{\sqrt{\frac{0.51(0.49)}{250}}}[/tex]

z = -2.34.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with a standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left tailed test, we reject the null hypothesis, and find that the sample is enough evidence that the proportion is below 51%.

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Step-by-step explanation:

3x - 5x - 4 - x^2 + 12x - 17x^2 - 16

= -2x - 20 - 18x^2 + 12x

= 10x - 20 - 18x^2

Hope it helpz~ uh..

Answer:

Yes

Step-by-step explanation:

Money to put into Savings Account

20% of $250.00 = 0.2 × $250.00

                            = $50.00

Cost of Jeans with sales tax

$75.00 + 5% = 105% of $75.00

                      = 1.05 × $75.00

                      = $78.75

Cost of Coat with sale tax

$110.00 + 5% = 105% of $110.00

                      = 1.05 × $110.00

                      = $115.50

Total money spent

= $78.75 + $115.50

= $194.25

Money left

= $250.00 - $194.25

= $55.75

$55.75 > $50.00

As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.

Step-by-step explanation:

100-20=80%

80%=4/5

4/5×60/1=48

48 boys but let me know if its wrong!