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BabaBlast [244]
1 year ago
6

Which is the pattern for factoring the sum of cubes​

Mathematics
2 answers:
vovikov84 [41]1 year ago
4 0

Answer: Its B

Step-by-step explanation: trust me i had this test

Stels [109]1 year ago
3 0

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

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Two production lines produce the same parts per week of which 100 are defective. Line 2 produces 2,000 parts per week of which 1
Vikentia [17]

Answer:

(a) 0.0833 or 8.33%

(b) 0.40 or 40%

Step-by-step explanation:

Parts line one (n1) = 1,000 parts

Defects line one (d1) = 100 parts

Parts line two (n2) = 2,000 parts

Defects line two (d2) = 150 parts

Total number of parts (n) = 3,000 parts

a. Probability of a randomly selected part being defective:

P(d) = \frac{d_1+d_2}{n_1+n_2}=\frac{100+150}{1,000+2,000}\\P(d) =0.0833=8.33\%

The probability is 0.0833 or 8.33%

b. Probability of a part being produced by line one, given that it is defective:

P(1|d)=\frac{P(1\cap d)}{P(1\cap d)+P(2\cap d)}\\P(1|d)=\frac{\frac{100}{3,000} }{\frac{100}{3,000}+\frac{150}{3,000}}\\P(1|d)=0.4 = 40\%

The probability is 0.40 or 40%.

5 0
1 year ago
Find the quotient. (5x4 – 3x2 4) ÷ (x 1)
Vlada [557]

Keywords:

<em>Divide, polynomial, quotient, divisor, dividend, rest </em>

For this case, we must find the quotient by dividing the polynomial (5x ^ 4-3x ^ 2 + 4)\ by\ (x + 1). We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest, as shown in the attached figure. At the end of the division, to verify we must bear in mind that:

Dividend = Quotient * Divider + Remainder

Answer:

See attached image

4 0
1 year ago
Read 2 more answers
Find the x value 2x=6
sleet_krkn [62]

Answer:

x = 3

Step-by-step explanation:

2x = 6

x = 3 (Because we divide on both sides by 2 so that the x is by itself, 6/2 = 3)

7 0
2 years ago
Read 2 more answers
Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus
patriot [66]
A=30000+0.03S and B=25000+0.05S.
When A=B, 5000=0.02S, so S=$250000 when the earnings are the same.
The slope of A is smaller than that of B. In excess of this value of S B pays more than A and below it A pays more than B.
So answer option B. (When S=0, clearly A is better than B. Put S=$300000, A pays $39000 and B pays $40000).
8 0
1 year ago
Read 2 more answers
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to
vovikov84 [41]
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.

475 * 0.02 = 9.50

Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.

The answer would be 4 years.

Hope this helps.
3 0
1 year ago
Read 2 more answers
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