MATHEMATICS COLLEGE

WRITE Math Write two ways you could use to find 5 + 8.​

Answers

Answer 1
Answer:

Answer:

8+5 and 8--5

Step-by-step explanation:

minus and minus is plus and 5+8 =8+5

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(2 + 3i) + (4 - 6i) equal?

A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater now?

Answers

231 chairs because 9 times 25 is 225, plus 6 is 231
4*25=100 4*25=100 add 6 =206+25= 231

SOMONE HELP WITH MATH

Answers

Answer:

x = 28

Step-by-step explanation:

HFG = EFI

6x - 4 = 164

6x = 164 + 4

6x = 168

x = 168/6

x = 28

On the first day of the fiscal year, a company issues $65,000, 6%, five-year installmentnotes that have annual payments of $15,431. The first note payment consists of $3,900 of
interest and $11,531 of principal repayment.
a. Journalize the entry to record the issuance of the installment notes.
b. Journalize the first annual note payment.

Answers

Answer:

Dr  cash      $65,000

Cr Notes payable              $65,000

repayment:

Dr Notes payable      $11,531

Dr interest expense  $3,900

Cr Cash                                        $15,431

Step-by-step explanation:

Upon the issuance of the notes,the cash received would be debited to cash account and the same amount credited to notes payable account.

The payment of $15,431 as annual repayment on the notes payable would be credited to cash account as an outflow of cash from the business while the notes payable and interest expense accounts would be debited with $11,531 and$3,900 respectively

A fair die is rolled 8 times. What is the probability that the die comes up 6 exactly twice? What is the probability that the die comes up an odd number exactly five times? Find the mean number of times a 6 comes up. Find the mean number of times an odd number comes up. Find the standard deviation of the number of times a 6 comes up. Find the standard deviation of the number of times an odd number comes up.

Answers

Answer:

0.2605, 0.2188, 1.33, 4, 1.0540, 1.4142

Step-by-step explanation:

A fair die is rolled 8 times.  

a. What is the probability that the die comes up 6 exactly twice?  

b. What is the probability that the die comes up an odd number exactly five times?  

c. Find the mean number of times a 6 comes up.  

d. Find the mean number of times an odd number comes up.  

e. Find the standard deviation of the number of times a 6 comes up.  

f. Find the standard deviation of the number of times an odd number comes up.

a. A die is rolled 8 times. If A represent the number of times a 6 comes up. For a fair die the probability that the die comes up 6 is 1/6 - Thus A ~ Bin(8, 1/6)

The probability mass function  of the random variable A is  

p(A) = \left \{ {(8!)/(x!(8 - x)!)*((1)/(6) )^(A)*((5)/(6) )^(8-A) } \right. for A=0,1, ...8

hence, p(6 twice) implies P(A=2)

that is P(2) substitute A = 2

p(2) = \left \{ {(8!)/(2!(8 - 2)!)*((1)/(6) )^(2)*((5)/(6) )^(8-2) } \right. for A=0,1, ...8

p(2)=(8!)/(2!6!) *((1)/(6) )^(2) *((5)/(6) )^(6)  

p(2) = 0.2605  

b. If B represent the number of times an odd number comes up. For the fair die the probability that an odd number comes up is 0.5.

Thus B ~ Bin(8, 1/2 )

The probability mass function of the random variable B is given by

p(B) = \left \{ {(8!)/(B!(8 - B)!)*((1)/(2) )^(B\n)*((1)/(2) )^(8-B) } \right. for B=0,1, ...8

hence p(odd comes up 5 times) is

p(x=5) = p(2)=(8!)/(5!3!) *((1)/(2) )^(5) *((1)/(2) )^(3)

p(5) = 0.2188

c. let the mean no of times a 6 comes up be μₐ

   and let the total number of outcomes be n

   using the formula μₐ = nρₐ

   μₐ = 8 * 1/6

        = 1.33

d. let the mean nos of times an odd nos comes up beμₓ

   let the total outcomes be n = 8

   let the probability odd be pb = 1/2

   μₓ = npb

        = 8 * (1/2)

        = 4

e. the standard deviation of a random variable A is given as follows

σₐ = √(np(1-p))

where p = 1/6 (prob 6 outcome)

n = total outcomes = 8

  = \sqrt{8*(1)/(6)*(5)/(6) }

  = 1.0540

f. the standard dev of the binomial random variable Y is given by

σ = √(np(1-p))

where p = 1/2 and n = 8

  =  \sqrt{8*(1)/(2) *(1)/(2) }

  = 1.4142

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

Answers

a_1=3
a_2=-4a_1
a_3=-4a_2=(-4)^2a_1
\cdots
a_6=-4a_5=\cdots=(-4)^5a_1

\implies a_6=(-4)^5\cdot3=-3072

What is the volume of the cone below

Answers

Answer:

263.99Pi or 264Pi units by approximation

Step-by-step explanation:

Volume of cone is 1/3 x Pi x radius ^2 x height

Radius is given as 6, height as 22

Hence volume of cone= 1/3 x Pi x (6)^2 x 22

=1/3 x PI x36x 22

= 263.99 PI

=264PI units

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