Between​ 12:00 PM and​ 1:00 PM, cars arrive at a local​ bank's drive-thru at the rate of cars per hour ​( car per​ minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of​ 12:00 PM. Use this information to answer the questions given below in parts ​(a)​(e).

Answer:

10

Step-by-step explanation:

We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.

The formula for Pythagoras Theorem =

c² = a² + b²

c = √a² + b²

Where c is the longest side

From the above diagram, we are looking for c

c = ?

a = 6

b = 8

Hence,

c = √6² + 8²

c = √36 + 64

c = √100

c = 10

Therefore, side c = 10

Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]

Substitute the value of [tex]\cos x[/tex]

[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]

Answer:

A

Step-by-step explanation:

they took the square root of both sides

Answer:

m∡A = 128°

Step-by-step explanation:

since AD = BC then ∡A=∡B

Answer:

5

Step-by-step explanation:

41 - 32 = 9

5/9 x 9 = 5

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

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Answer:

3/2 pi + 12

Step-by-step explanation:

In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.

The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.

The radius of the arc is 3, because at the bottom we see the width of the figure is 3.

Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.

Therefore, our answer is 3/2 pi + 12

Answer:

Plzzzz answer fast.....

Answer:

y - (-9) = -10 (x - 1)

Step-by-step explanation:

y = mx + b

m (slope) = (y'-y) / (x'-x) = (101 - (-9)) / (-10) - 1) = 110/(-11) = -10

pass (1 , -9)

m = (y - (-9)) / (x - 1) = -10

y - (-9) = -10 (x - 1)

Answer:

It takes 42 seconds for the ball to reach its maximum height

The ball's max height is 2

hope this is right

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer:

The correct answer would be 17

I took the test and it was correct

Sorry its late hope it helps!

Answer: 17

Step-by-step explanation:

θ= 17

Correct answer on the test.

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Answer:

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Step-by-step explanation:

Given

[tex]Flowers = 25x^2 + 5x + 5[/tex]

[tex]Unit\ price = 5x[/tex]

Required

The total price for 5 days

First, calculate the total for a day.

[tex]1\ day = Unit\ price * Flowers[/tex]

[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]

Open bracket

[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]

For 5 days, the total will be.

Total = days * sales of a day

So, we have:

[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

The probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm:

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of pulling a red worm from the bag is 6/(12+3+6+2) = 6/23.

After eating the red worm, there are 11 green worms left in the bag, so the probability of pulling a green worm is 12/(12+3+2) = 12/17.

To find the probability of both events occurring (pulling a red worm and then a green worm), we need to multiply their probabilities:

P(red and green) = P(red) × P(green)

P(red and green) = (6/23) × (12/17)

P(red and green) = 72/391

Therefore, the probability of reaching into the bag and pulling a red worm, eating it, and then pulling a green worm is 72/391.

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Answer:

Associative Property

Explanation:

Associative property is when you add and group numbers in any combination.

Answer:

purple bc there are more purple in the bag then yellow. I'm pretty sure this is right

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

[tex]A = (3,1)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-5,1)[/tex]

Required

Find D

Let the coordinates of D be:

[tex]D = (x,y)[/tex]

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

Calculate the slope of each side.

AB, BC, CD and DA using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

AB:

[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]

BC:

[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]

CD:

[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]

DA

[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]

[tex]m_4 = \frac{1-y}{3-x}[/tex]

AB and CD are parallel sides. So, they have the same slope

i.e.

[tex]m_1 = m_3[/tex]

[tex]\frac{y-1}{x+5} = -1[/tex]

Solve:

[tex]y-1 =-x-5[/tex]

Make y the subject

[tex]y =-x-5+1[/tex]

[tex]y =-x-4[/tex] ---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

[tex]m_2 = m_4[/tex]

[tex]1 = \frac{1-y}{3-x}[/tex]

Solve:

[tex]1-y =3-x[/tex]

Make y the subject

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

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

So, we have:

[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]

Equate both:

[tex]y=y[/tex]

[tex]-x-4=x-2[/tex]

Collect like terms

[tex]-x-x=4-2[/tex]

[tex]-2x=2[/tex]

Solve for x

[tex]x = -\frac{2}{2}[/tex]

[tex]x = -1[/tex]

Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]

[tex]y = -1-2[/tex]

[tex]y = -3[/tex]

So, the missing coordinate is:

[tex]D = (-1,-3)[/tex]

Answer:

1/10, 3/10

Step-by-step explanation:

1) we have 10 letters, so the answer is: 1/10

2) we have three grey parts in a total of ten parts, so the answer is 3/10

Answer:

the polygon on the right side is doubled the size of the one on the left, therefore x=11

Answer:

25

Step-by-step explanation:

Answer:

70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B

Answer:

70 degrees

Step-by-step explanation:

90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70

Answer:

it is 90

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2*2-1m=3m

2+3m=5m

3m*5m=15m

Ignore the m it represents the meters

Photo shows how to get x=2

Answer:

19.38b - 43.2a

Step-by-step explanation:

Simplify :

8.5b−3.4*(13a−3.2b)+a

Open the bracket :

8.5b - 44.2a + 10.88b + a

Collect like terms :

8.5b + 10.88b - 44.2a + a

19.38b - 43.2a

Answer:

2x^4

-x^3 + 3x^2 + 2x + 4

5x^2 + 5x + 5

-3x + 10

22

Step-by-step explanation:

find the highest exponent of each polynomials:

22=> 0 degree

-3x(equals to -3x^1) + 10=> 1st degree

5x^2 + 5x + 5=> 2nd degree

-x^3 + 3x^2 + 2x + 4=> 3rd degree

2x^4=> 4th degree

Answer:

x = 4

Step-by-step explanation:

By intersecting chords theorem:

[tex]8(4x + 2) = 9(4x) \\ \\ 32x + 16 = 36x \\ \\ 32x - 36x = - 16 \\ \\ - 4x = - 16 \\ \\ x = \frac{ - 16}{ - 4} \\ \\ x = 4[/tex]

Answer:

$50 - $9.99 = $40.01

$40.01 ÷ $3.99 = 10

so the answer is 10

Step-by-step explanation:

if thats not whats being asked sorry

Inequality shows a relationship between two numbers or two expressions.

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

The number of movies Parv can buy is 10.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal= ≥

We have,

Gift card = $50

Cost of a pack of games = $9.99

Cost of each movie = $3.99

x = number of movies

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

Solve for x.

9.99 + 3.99x ≤ 50

Subtract 9.99 on both sides.

3.99x ≤ 50 - 9.99

3.99x ≤ 40.01

Divide both sides by 3.99

x ≤ 40.01/3.99

x ≤ 10

This means the number of movies Parv can buy is 10.

We can cross-check.

9.99 + 3.99 x 10 ≤ 50

9.99 + 39.9 ≤ 50

49.89 ≤ 50

Thus,

The number of movies Parv can buy is 10.

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Answer:

2    4/6     8/12

3  2/4      5/10

4    8/10     40/50

Step-by-step explanation: