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Arturiano [62]
3 years ago
13

Find the experimental probability of getting the letter e when a letter is drawn at random from this text:

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

0.17647 or 17.647%

Step-by-step explanation:

You have to count the total number of letters in the text:

The text has 102 letters. Do not count punctuation signs and spaces.

Now count the total number the letter “e” appears.

The letter “e” appears 18 times.

So the experimental probability of getting the letter e when a letter is drawn at random from the text:

<em>"In English l, the letter e appears most frequently among alphabetical characters, in these lines, it appears eighteen times."</em>

is

18/102 = 0.17647 or 17.647%

'

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Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
Use decimals to give the ordered pair for point U. Remember to putyour odered pairs in parenthesis.
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Answer:

(0,2.5)

Step-by-step explanation:

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If f(x)=3x^2-9 and g(x)=x^2+1 find (f+g)(x)
givi [52]

Answer:

4x^2 -8

Step-by-step explanation:

f(x)=3x^2-9

g(x)=x^2+1

(f+g)(x)=3x^2-9 +x^2+1

Combine like terms

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5 0
3 years ago
It takes about 20 minutes to grade a student’s paper. How long, in hours, does it take to grade papers for a class of 30 people?
insens350 [35]

Answer:

The answer is 600 minutes (10 hours)

Step-by-step explanation:

20 minutes = 1 student.

30 students x 20 = 600 minutes

600mins / 60 (because an hour has 60 mins) = 10 hours.

5 0
3 years ago
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Anvisha [2.4K]
4 = 7 - 3

1 = 4 - 3

-2 = 1 - 3

-5 = -2 - 3

=> An = A (n-1) - 3, where A1 = 7

The next term is A6 = A5 - 3 = - 5 - 3 = - 8

So the answer is the fourth option.
3 0
3 years ago
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