MATHEMATICS HIGH SCHOOL

Find the quotient –88 ¸ 11.
a. –10
b. –7
c. –8
d. –3

Answers

Answer 1
Answer: -8 is the quotient of -88 and 11. 

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Solve: (6x^3 - 1x^2 + 1) divided by (2x + 1)a. -3x^2 + 2x -1
b. 3x^2 - 2x + 1
c. -3x^2 + 2x - 1
d. 3x^2 2x - 1

Answers

The Simplified answer would be b. 3x^2 - 2x + 1

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer. e^x=3.4


2^x+6=3

Answers

e^x=3.4\n\nlne^x=ln3.4\n\nx=ln3.4\n\nx\approx1.22


2^(x+6)=3\n\nlog_22^(x+6)=log_23\n\nx+6=log_23\n\nx=log_23-6\n\nx\approx1.58-3\n\nx\approx-1.42

The general term for the sequence 3/4, 6/5, 9/6, 12/7, 15/8 is?

Answers

Answer:

Sequence  (3n)/(3+n).

Step-by-step explanation:

Given : sequence 3/4, 6/5, 9/6, 12/7, 15/8 .

To find : The general term for the sequence.

Solution : We have given that 3/4, 6/5, 9/6, 12/7, 15/8 .

Here numerators are 3 , 6, 9 , 12, 15

Denominators are 4 ,5 , 6, 7, 8.

We can see in numerators all are multiple of 3

As,    3 × 1 , 3 × 2, 3 × 3 ...... etc

We can write it as  : 3n

Denominator are 3 +1 , 3 +2 , 3 +3 ..........etc

We can write it as 3 +n

So , sequence become (3n)/(3+n)

Therefore, sequence  (3n)/(3+n).
The numerators  = 3n ( where n = sequence number of the term
The denominators  = n + 3

Answer is  3n / (n + 3)

A recent survey found that 79% of Americans use the internet. if a city has a population of 76,000 how many people in that city would you expect to use the internet?

Answers

p\%=(p)/(100)\n\n79\%=(79)/(100)=0.79\n\n79\%\ of\ 76,000\ is\ 0.79\ *\ 76,000=60,040\leftarrow answer
79 % of 76 000 ?

79 % = 79/100 = 0.79

So 0.79 * 76 000 = 60 040

Sin inverse[sin 6pi/7]. I'm suppose to find the exact value.

Answers

sin^(-1) (sin (6 \pi )/(7) )= (6 \pi )/(7)

Find the expected value of the winningsfrom a game that has the following
payout probability distribution:

Answers

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up

We have this as;

0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)

= 0 + 1 + 1.2 + 1 + 0.75 = 3.95

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00
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