MATHEMATICS HIGH SCHOOL

Which event is considered neither likely nor unlikely?A. rolling a number greater than one on a six-sided number cube
B. rolling a 1 on a six-sided number cube
C. getting heads when flipping a coin
D. choosing a X, Y, or Z from a bag containing all letters in the alphabet

Answers

Answer 1
Answer: Hey there 

The answer is D.
choosing a X, Y, or Z from a bag containing all letters in the alphabet.

There are 46 different  alphabets.
You have 3/46 chances
6% out of 100 of picking those letters 
Answer 2
Answer: A.) it is possible to roll a number greater than 1 on a six sided number cube.  - So it is likely.

B) It is possible to roll a 1.  - So it is likely.

C) It is possible to get a heads when flipping a coin.  - So it is likely.

D) It is possible to choose a X, Y or Z from the alphabets. - So it is likely.


Am sorry did not see any one that is neither likely nor unlikely.

There is likelihood in each of the Event, but to some varying degree.

I hope this helps.

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Show that n^2-1 is divisible by 8,if 'n' is an odd positive integer.

Answers

n-an\ odd\ positive\ integer\ \ \ \Rightarrow\ \ \ n=2k+1\ \ \ and\ \ \ k\in Natural\n\nn^2-1=(2k+1)^2-1=(2k)^2+2\cdot2k\cdot1+1^2-1=4k^2+4k=\n\n=4k(k+1)\n\nif\ k-odd\ \ then\ (k+1)-even,\ \ \ then\ k(k+1)-even\n\n\ \ \ \Rightarrow\ \ \ k(k+1)=2m\ \ \ and\ \ \ m\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2m=8m\n\n\nif \ k-even,\ \ \ then\ k(k+1)-even\n\n\ \ \Rightarrow\ \ \ k(k+1)=2p\ \ \ and\ \ \ p\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2p=8p\n\n

------------------------\n\n for\ each\ k \in N\ the\ product\ of\ \ \ k (k +1)\ \ \ is\ even,\ so:\n\nif\ 'n'\ is\ an \ odd\ positive\ integer,\ then\ \ \ n^2-1\ \ \ is\ divisible\ 8.

Which of the following are square roots of the number below ? check all that apply 81

a. 18
b.-(81)^1/2
c.9
d.81^1/2

Answers

The answers are:
b.-(81)^1/2
c.9 
d.81^1/2

√a = -a^1/2      ⇒ √81 = -81^1/2
√a = a^1/2       ⇒ √81 = 81^1/2

√81 = √9²
√a² = a            ⇒ √9² = 9
√a² = -a           ⇒ √9² = -9

An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car from rolling down the hill. Round your answer to the nearest whole number. Do not use a space or decimal in your answer or it will be marked wrong.

Answers

Answer:

13892 lb-ft/sec^2

Step-by-step explanation:

Given that An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal.

Here acceleration due to gravity is the pulling factor against which the car should be stopped from rolling down the hill.

Weight of the car =2500 pounds

Vertical component of gravity = 32cos (90-10)=32sin 10 = 32(0.1736)

Force required = mass x acceleration

=2500x0.1736x32

=13892 lb ft/sec^2
Make sure your calculator is set to DEGREES and not RADIANS when performing your sinθ calculation. sin(10) = -0.54402 sin(10°) = 0.17365 You could also try using trig tables if you're unsure how to do this. So: 2500sin(10°) = 434 lb

For every increase of 1 on the Richter scale, an earthquake is 10 times more powerful. Which of the following models this situation?

a-linear function with a negative rate of change
b- linear function with a positive rate of change
c-exponential decay function
d-exponential growth function

answer-exponential growth function

Answers

The model that best describes this situation is an exponentialgrowthfunction.

The correct answer is option D.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Exponential growth function

The given situation describes how the power of an earthquake increases exponentially with an increase in Richter scale magnitude.
Specifically, for every increase of 1 on the Richter scale, the earthquake is described as being 10 times more powerful.

This is characteristic of exponentialgrowth, where a quantity increases by a fixed proportion for each unit increase in another variable.

In this case,

As the Richter scale magnitude increases by 1, the power of the earthquake increases by a factor of 10, which is an exponentialgrowth relationship.

Therefore,

The model that best describes this situation is an exponentialgrowthfunction.

Learn more about functions here:

brainly.com/question/28533782

#SPJ3
im not sure but I think its d

Henry drew a rectangle with a length 5 times as long as its width. Which expression can be used to find the perimeter of the rectangle?a. 5w + w
b. 5w + 5w
c. 2(5w + w)
d. 2(5w + 5w)

Answers

Hello,

w= the width
5w the length
2*(5w+w) is the perimeter  (or 12w)
Answer C

Solve the following using factoring x²+12=7×​

Answers

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2+12=7x  move the 7x to the other side

x^2-7x+12

(x-4)(x-3)
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