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2 years ago

5

You have a 3 question multiple choice quiz with 4 choices for each question. What is the probability that you choose each answer

at random and get all three questions correct
Please covert the fraction to a decimal

1 answer:

Mama L [17]2 years ago

3 0

I don't know if this is right but 0.015625

there's a 1/4 chance of getting each question right and there are 3 questions

1/4 times 1/4 times 1/4 = 1/64 = 0.015625

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

<u>- - -</u>

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

8 0

2 years ago

Read 2 more answers

The population is approximately 280,000 in 2006. The population grows at a rate of 7% per year. What was the population in 1990?

KonstantinChe [14]

Answer:

586,455 people

Step-by-step explanation:

im not sure

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3 years ago

Student grades on a chemistry exam were: 77, 78, 76, 81, 86, 51, 79, 82, 84, 99

IrinaK [193]

Answer:

Step-by-step explanation:

A) Stem-and-leaf plot

stem leaf

5 1

7 6,7,8,9

8 1,2,4,6

9 9

B) Outlier

Could consider 51 an outlier.

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3 years ago

5x - 6y = 0 y = x solve the system by substitution. a. no solution b. coincident c. (0, 0)

tatiyna

Answer:

<h2>c. (0, 0)</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}5x-6y=0&(1)\\y=x&(2)\end{array}\right\\\\\text{Put (2) to (1):}\\\\5x-6x=0\\-x=0\to x=0\\\\\text{Put it to (2):}\\\\y=0$

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3 years ago

1/4 times X -1+ 3X equals 2

iris [78.8K]

Answer:

41

Step-by-step explanation:

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3 years ago