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marusya05 [52]
2 years ago
13

This quiz has 9 questions with 4 options for each question. If a student chooses answers randomly, what is the probability that

he will get at least 7 answers incorrect
Mathematics
1 answer:
Ket [755]2 years ago
8 0

Answer:

Bsjwkwkwkkenenrnrnrbtbbtbfbfnrntnt rnrnrkkrjrjr

Step-by-step explanation:

bdbrbrbr

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Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
2 years ago
Floor tile costs $11 per square yard. How much will it cost to tile a bathroom that is 90 square feet?
Usimov [2.4K]
99 Dollars one square foot = 9 square yards
8 0
3 years ago
Please help i will igve brainliest
adelina 88 [10]
3. you cannot simplify √30
4 0
2 years ago
Subtraction (must show work) 1. d - 27 = 45 2. h - 114 = 28
Arturiano [62]

Answer:

Step-by-step explanation:

1.

d - 27 = 45

add 27

d = 72

2.

h - 114 = 28

add 114

h = 142

3.

-4 + x = 15

add 4

x = 19

4.

-39 + g = 72

add 39

g = 111

7 0
2 years ago
While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the t
sveta [45]

Answer:

The answer is on this link:

https://www.slader.com/discussion/question/while-sailing-toward-the-statue-of-liberty-a-sailor-in-a-boat-observed-that-at-a-certain-point-the-a/

7 0
3 years ago
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