MATHEMATICS HIGH SCHOOL

Write the following into rational numbers a over b (a and b are integers)a. 15.89898989 b. 0.101010

Answers

Answer 1
Answer:

Answer: a.) 15 and 89/99

b.) 10/99

Step-by-step explanation:

a.) 15.898989...

Let x = 0.898989...

100*x = 89.8989...

100x - x = 89.898989... - 0.898989...

99x = 89

x = 89/99

So 15.898989.... = 15 and 89/99

b.) 0.101010

Y= 0.101010

100y = 10.101010...

100y - y = 10

99y = 10

y = 10/99

From MysticAlanCheng

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What is the volume of a four- sided pyramid with base edge of 5 ft and h = 4 ft.

Answers

V = (5^(2) * 4)/3 = 100/3;

Answer:

da

Step-by-step explanation:

Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives a stipend of $25 for snacks. Javier knows his weekly earnings can be shown with the following expression:75d + 8w + 25

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Javier works for 5 days and installs 48 windows, how much does he earn? Show your work to receive full credit. (4 points)

Part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change? Why? (3 points)

Answers

Part B is 784
75 multiplied by 5 is 375
8 multiplied by 48 is 384
375 plus 384 is 759
759 plus 25 is 784

A coin was flipped 150 times. The results of the experiment are shown in the following table:Heads Tails
90 60


Which of the following best describes the experimental probability of getting heads?
It is 10% higher than the theoretical probability.
It is 10% lower than the theoretical probability.
It is equal to the theoretical probability for this data.
The experimental probability cannot be concluded from the data in the table.

Answers

Answer:

The statement that best describes the experimental probability of getting heads is:

       It is 10% higher than the theoretical probability.

Step-by-step explanation:

We know that the theoretical probability of getting head is: 0.5

and the theoretical probability of getting tail is: 0.5

Also, the results of experiments are:

          Heads        Tails

           90                60

This means that the experimental probability of getting head is: 90/150=3/5=0.6

and the experimental probability of getting tail is: 60/150=2/5=0.4

Hence, the experimental and theoretical probability of getting head is not same or equal.

Also, the experimental probability of getting head is more than the theoretical probability  of getting head and the percent increase is calculated as:

(0.6-0.5)* 100\n\n\n=(0.1)* 100\n\n=10\%

Answer:

Its 10% higher than theoretical

Step-by-step explanation:

90/150 x 100= 60%

60-50=10

SAVE ME. Please Answer my Questions Clevers. Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:
A. Prime numbers,
B. Composite numbers,
C. Divisible by three,
D. Square of 2.

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Q3. what is the solution set of
9x-4<13x-7 (domain, xez) ?

Q4. if three fourth of a number is one tenths, what is the number?

Q5. which one is the equation of the line passing through the origin and having a slope 4?

A. Y= -0.4x
B. Y= 4x
C. Y= -4x
D. Y= 0.4x

​

Answers

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_(\ge 0)

Whole numbers less than or equal to 20: A\leq 20, A \subset \mathbb{Z}_(\ge 0) \n\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

A. Prime numbers

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=(8)/(21) \approx 40\%$

B. Composite numbers

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=(11)/(21) \approx 52\%$

C. Divisible by three

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=(6)/(21) \approx 30\%$

D. Square of 2

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

√(0) =0

√(1) =1

√(4) =2

√(9) =3

√(16) =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=(5)/(21) \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\n

$x>(3)/(4) $

$x\in \left((3)/(4),\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$(3)/(4) x =(1)/(10) \implies 3x=(4)/(10) \implies \boxed{x = (2)/(15)} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

m: \text{slope}

b: \text{y-intercept}

B. Y= 4x

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?A. Factor out 3 from each term.


B. Form a perfect square trinomial by keeping the value of the function equivalent.


C. Write the trinomial as a binomial squared.


D. Factor out 3 from the first two terms.


Explain your answer?


No spam answers, if you spam your answers it's going mark your answer report.


If your answer is wrong that's going mark your answer report.


Thank you!



-Charlie

Answers

Answer:

  D. Factor out 3 from the first two terms.

Step-by-step explanation:

Vertex form is ...

  y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

  y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

  factor out 3 from the first two terms

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

According to the VertexFormula[y = A(X - H)² + K], -H gives you the OPPOSITE terms of what they really are, but in this case, this would not qualify, since the question is asking something totally unique. So, since 3 is your "A", you factor that out, and since 6 is a multiple of 3, it is easy to work with. Anyway, you get this:

y = 3(x + 1)² - 11

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Please help and explain, I’m stuck on this on my homework

Answers

Answer:

THE ANSWER IS F. 23!

Step-by-step explanation:

THE ANSWER IS F. 23!
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