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3 years ago

6

A system of two equations is shown below: Equation C: a = 2b + 7 Equation D: a = 5b − 3 What value of a can be substituted into

equation D to solve the system of equations?

1 answer:

zhuklara [117]3 years ago

7 0

Answer:

C i believe so

Step-by-step explanation:

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Find the missing side lengths

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Read 2 more answers

A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be

maw [93]

Answer:

Only vowels and odd numbers:

$P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}$

Spells math:

$P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}$

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

$P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}$

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

$P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}$

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3 years ago

What is the conditional probability that exactly four heads appear when a fair coin is flipped five times

cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

----------------------------------

# of total outcomes

So the probablity is 5/32.

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3 years ago

(Would be very much appreciated if it was answered asap, please and thank you! =D)

LUCKY_DIMON [66]

The equation 3.3x - 6.6 = 2.7x is equal to the expression 0.6x = 6.6 (2nd option)

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3 years ago