All categories

3 years ago

Use the Distributive Property to rewrite each of the expressions below. Then simplify.

2 answers:

8 0

First you must multiply 12*309= 3,708

for b. multiply 8 by 100=800, 8 by 10=80 then 8 by 8 which equals 64

Then add 800+80+64=944 hope this helps :D

azamat3 years ago

6 0

A. 12*309=
3708

B.8*100+8*10+8*8=
944

You might be interested in

What would be the result of 100 plus 4% for 12 years

VashaNatasha [74]

Answer:

100.04

Step-by-step explanation:

8 0

3 years ago

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone

nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0

3 years ago

What's 4/3÷5/3= plz make it make sense.

Korvikt [17]

4/3 ÷ 5/3

4/3 × 3/5 use this rule; a ÷ b/c = a × c/b

4 × 3/ 3 × 5

12/15

4/15 simplify. or decimal form; 0.8

hope this helps, God bless!

6 0

4 years ago

Read 2 more answers

Francesca has 63 cm of ribbon. She will cut it into two pieces so that the longer piece is 15 cm longer than the shorter piece.

stiks02 [169]

Of you find a wrong thing on answer reply me

5 0

3 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of X are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable X is defined as the number of defective boards.

The probability that a circuit board is defective is, p = 0.05.

The sample of boards selected is of size, n = 25.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of X as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of X are 1.25 and 1.09 respectively.

8 0

4 years ago