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Damm [24]
2 years ago
6

The letters c, a, r, o, l, i, n, a are placed in a hat. what is the probability of pulling out four letters in the order that sp

ells lion?
Mathematics
1 answer:
GalinKa [24]2 years ago
4 0

|\Omega|=8\cdot7\cdot6\cdot5=1680\\|A|=1\\\\P(A)=\dfrac{1}{1680}\approx0.06\%

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Solve the following problems:
liq [111]

Answer:

  • Q1. 42 liters
  • Q2. Php. 330  

Step-by-step explanation:

Question 1

<u>Use ratios to solve:</u>

  • 12/100 = x/350
  • x = 12*350/100
  • x = 42 liters

Question 2

  • 1 basket → 5 1/2 kg ⇒ 2 baskets → 2(5 1/2) = 11 kg
  • 1 kg → 30 ⇒ 11 kg → 11*30 =  330  

Mutya earned Php. 330  

4 0
3 years ago
How to write 30 1/4% as a fraction in simplest formq
ycow [4]
p\%=\dfrac{p}{100}\\\\30\dfrac{1}{4}=\dfrac{30\cdot4+1}{4}=\dfrac{121}{4}\\\\30\dfrac{1}{4}\%=\dfrac{121}{4}\%=\dfrac{\frac{121}{4}}{100}=\dfrac{121}{4}\cdot\dfrac{1}{100}=\dfrac{121}{400}\\\\Answer:\boxed{30\frac{1}{4}\%=\frac{121}{400}}
8 0
3 years ago
Evaluate g(x) = 2x - 7 over the domain (2, 4, 6, 8) what is the range of g(x)
Elanso [62]

Answer:

-3, 1, 5, 9

Step-by-step explanation:

2(2) - 7 = -3

2(4) - 7 = 1

2(6) - 7 = 5

2(8) - 7 = 9

8 0
3 years ago
lex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has?
emmasim [6.3K]
There are 68 quarters and 16 nickels
3 0
3 years ago
Read 2 more answers
A right triangle has side lengths 7, 24, and 25 as shown below.
Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0
4 years ago
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