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Romashka-Z-Leto [24]
3 years ago
9

A multiple choice test consists of nine questions, each of which has three choices. Each question has exactly one connect answer

. How many ways are there to fill out the answer sheet so that eight answers are connect and one is incorrect? (Assume that a choice is made for each question.)
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.

Step-by-step explanation:

Consider the provided information.

A multiple choice test consists of nine questions, each of which has three choices.

We need to find the number of ways so that eight answers are correct and one is incorrect.

There is only one correct answer and for incorrect answer we have only 2 choices because 1 choice is correct.

Thus the number of possible ways are:

(2×1×1×1×1×1×1×1×1)+(1×2×1×1×1×1×1×1×1)+(1×1×2×1×1×1×1×1×1)+(1×1×1×2×1×1×1×1×1)+(1×1×1×1×2×1×1×1×1)+(1×1×1×1×1×2×1×1×1)+(1×1×1×1×1×1×2×1×1)+(1×1×1×1×1×1×1×2×1)+(1×1×1×1×1×1×1×1×2) = 2+2+2+2+2+2+2+2+2 = 18

There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.

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The speed of the international space station is 27,576 kilometres per hour.
Dmitriy789 [7]
(27576km/hr)(24hr/day)(orbits/42600km)=orbits/day=15.53

So the station makes 15 FULL orbits per day

(27576km/h)(1000m/km)(h/3600s)=7660m/s
7 0
3 years ago
) For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x = (No Response) For which values of x
grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

 f'(x)=0\: at \:x=2, and\: x=-2

2. For which values of x is f '(x) positive?

Whenever we have  

 f'(x)>0

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

 f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)

3. For which values of x is f '(x) negative?  

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

 f'(x)

4.What do these values mean?

 f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0
3 years ago
1234567791234556677889
Lapatulllka [165]
372819388338822814738288919147477483822 okay i guess
3 0
3 years ago
Read 2 more answers
N
ZanzabumX [31]

Answer:

x = 4 is the solution

Step-by-step explanation:

given  = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

Insert these values into the original equation, and if both sides are equal, and those are the solutions.

x = 4 :  =  = 4 = x ← correct

x = - 3 :  =  = 3 ≠ - 3 ← false

the answer is x = 4

7 0
3 years ago
The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the commu
lisov135 [29]

Answer:

Reject Null Hypothesis given that  P-value < ∝

Step-by-step explanation:

Applying the Five ( 5 ) step model and assuming ∝ = 0.05

First step : determine the Null hypothesis

H0 : Age and support for Anti-smoking = independent

Second step : Determine the alternate hypothesis

Ha : Age and support for Anti-smoking ≠ independent

Thirdly : Identify significance level ( ∝ ) = 0.05

4th step : Calculate the Test statistic and P-value

Chi-squared test = 36.1429 using excel function

P-value =  1 - CHISQ.DIST(36.1429, 1, TRUE)  < 0.0001

finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that

P-value < ∝

3 0
3 years ago
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