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Aleks
14 hours ago
11

Tanya drives to work every day and passes two independently operated traffic lights. The probability that both lights are red is

0.55. The probability that the first light is red is 0.69. What is the probability that the second light is red, given that the first light is red?
Mathematics
2 answers:
zzz [9.1K]13 hours ago
7 0
Let event A signify a red light at the first intersection, and B represents a red light at the second. We know: P(A∩B) = 0.55 and P(A) = 0.69. Hence, the likelihood of the second light being red, given that the first is red, is as follows.
AnnZ [9.1K]13 hours ago
6 0
0.797% is the probability derived. To begin with, establish the likelihood of both lights being red while the first one is also red, denoted as P(A ∩ B), which equals 0.55. Next, the probability of the first light being red is 0.69. Using the relationship P(A∩B)/P(B), we calculate 0.55/0.69 to arrive at 0.797.
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Jessica is buying several bunches of bananas to make dessert for a fundraiser. She can buy 10 pounds of bananas for $14.90 or 8
Svet_ta [9583]
Jessica is selecting multiple bunches of bananas
We need to identify which banana offer provides the best deal
=> 10 pounds of bananas priced at $14.90
To determine the unit price, divide 14.90 by 10
=> 14.90 / 10
=> 1.49, hence, each pound of bananas costs $1.49
For the second offer
=> 8 pounds of bananas for $12.08
=> 12.08 / 8
=> 1.51 dollars is the cost per pound of bananas.

Consequently, the most advantageous banana deal is the 10 pounds for $14.90.
8 0
17 days ago
12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to
AnnZ [9132]

Response:

The first time they meet again at the starting point happens after 336 seconds.

Venu completes 7 laps, while Tanuj finishes 6 laps.

Detailed explanation:

Venu and Tanuj require 48 seconds and 56 seconds, respectively, to finish one lap.

To reconvene at the starting point, the time must be a multiple of both 56 and 48.

Thus, the earliest time they can meet again at the starting position is when they first clash.

This aforementioned first meeting time represents the smallest number divisible by both 56 and 48, which is 336 seconds or equivalently 5 minutes and 36 seconds.

Number of laps by Venu

=\frac{336}{48}=7

Number of laps by Tanuj

=\frac{336}{56}=6

8 0
18 days ago
Find the distance across the lake. Assume the triangles are similar.
Zina [9190]

Response:

B. 255 m

Detailed breakdown:

utilize similar triangles

L / 60 = 85 / 20

L = (85 * 60) / 20

L = 255 m

5 0
1 month ago
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están nume
lawyer [9256]

Respuesta:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Explicación paso a paso:

Para identificar las brocas existen dos aspectos a considerar:

1.- Las fracciones que comparten el mismo denominador aumentan en orden ascendente a medida que los numeradores incrementan, lo que significa que entre

9/16   3/16    7/16     5/16   11/16    el orden sería (de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Fracciones con diferentes denominadores pueden convertirse a un denominador común /16 multiplicando la fracción, por ejemplo

1/4   =  1*4/4*4   =  4/16

Aplicando este método, todas las fracciones se transforman al formato mencionado previamente y se organizan

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Por lo tanto, hay diez brocas, comenzando con 1/16 hasta la número 12 que es 12/16

Finalmente, el orden sería:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

4 0
5 days ago
76% is between which of the following two numbers?
AnnZ [9132]

Hi there!

While there are no answer choices provided, here's how you can solve a problem like this.

To find the average of two numbers, you simply sum them up and divide by two!

For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!

For 100 and 580, adding gives you 680, and dividing by 2 results in 340!

The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!

Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!

So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!

I hope this information helps!

5 0
17 days ago
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