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lora16 [44]
2 years ago
5

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for blue, 1/10 f

or purple, 1/5 for white, and 7/15 for yellow. What is the probability of pulling a white or purple card, written as a reduced fraction?
​
Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0

Answer:

1/4

Step-by-step explanation:

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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights tha
Ganezh [65]
What city lol? sorry i just need to answer so i can ask question bc i’m lost lol
8 0
2 years ago
Naomi has 45 minutes to get ready for school she spends x minutes getting dressed write an expression that respetents the number
andriy [413]
ANSWER

(45  - x) \: minutes

EXPLANATION

Total minutes Naomi has at her disposal is 45 minutes.



The number of minutes she spends getting dressed is

x


To find the number of minutes she still has to get ready, we subtract the minutes spent from the total minutes.

The number of minutes she still have to get ready is

(45  - x) \: minutes

5 0
3 years ago
Find the average of 2m,20cm and 95cm give your answer in cm​
stepan [7]

Answer:

The average is:

105 cm

Step-by-step explanation:

1 m = 100cm

2m = 2*100 = 200cm

then:

(200 + 20 + 95)/3 = 315/3 = 105cm

3 0
3 years ago
Choose the best description of the following number 18
Mrac [35]

Answer:

4.243

step by step explanation:

5 0
3 years ago
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