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olga_2 [115]
3 years ago
7

Evaluate 1/4c + 3d when c = 6 and d = 7

Mathematics
2 answers:
Natalka [10]3 years ago
7 0
Replace the C and D with 6 and 7.

1/4 (6) + 3 (7)

6/4 + 21 

6/4 + 84/4 = 90/4

90/4 = 22.5

Hope this helps!
Lesechka [4]3 years ago
3 0
1/4(6) + 3(7)
= 1/4 x 6 + 3 x 7
1/4 x 6= 3/2
3 x 7= 21
= 3/2 +21
= 21/1 + 3/2
= 21 x 2/2 + 3/2
=2 x 21 + 3/2
= 45/2
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What is the value of |n|=5
nikdorinn [45]

Answer:

n = 5 or -5

Step-by-step explanation:

the absolute value is the count away from 0 so n could be 5 which is 5 units from 0 or -5 which is also 5 units away from 0.

7 0
3 years ago
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The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5​, and each digit can b
Papessa [141]

Answer:

(a) 125

(b) \dfrac{1}{125}

(c) \dfrac{124}{125}

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

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So, total number of access codes possible:

5\times 5 \times 5 = 125

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, only 1 code is correct, so

Number of favorable cases = 1

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So, required probability:

P(E) = \dfrac{1}{125}

(c) Probability of not selecting the correct access code on first time:

P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}

So, the answers are:

(a) 125

(b) \dfrac{1}{125}

(c) \dfrac{124}{125}

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3 years ago
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