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torisob [31]
3 years ago
15

Factoring Special Cases (400 - 36x^2)

Mathematics
1 answer:
const2013 [10]3 years ago
5 0
Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)
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each pail of plaster covers 90 square feet of ceiling. What is the least number of pails of plaster you would need to buy to cov
Dominik [7]
The area of the ceiling:
 A = 14² = 196 ft²
 We need plaster to cover 196 ft².
 196 : 90 = 2.17778
 Answer:  We have to buy 3 pails of plaster.
7 0
3 years ago
Read 2 more answers
A picture has the ratio of 2/3 inch per 1/2 cm. What is the unit rate inches per centimeter?
Readme [11.4K]

Answer:

4/6

Step-by-step explanation:

x2

hope it helps

4 0
2 years ago
An instructor who taught two sections of Math 161A, the first with 20 students and the second with 30 students, gave a midterm e
uranmaximum [27]

Answer:

<em>The answers are for option (a) 0.2070  (b)0.3798  (c) 0.3938 </em>

Step-by-step explanation:

<em>Given:</em>

<em>Here Section 1 students = 20 </em>

<em> Section 2 students = 30 </em>

<em> Here there are 15 graded exam papers. </em>

<em> (a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070 </em>

<em> (b) Here if x is the number of students copies of section 2 out of 15 exam papers. </em>

<em>  here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15 </em>

<em>Then, </em>

<em> Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798 </em>

<em> (c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1) </em>

<em> so, </em>

<em> Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938 </em>

<em> Note : Here the given distribution is Hyper-geometric distribution </em>

<em> where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>

7 0
3 years ago
Is shipping box is a shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of a cube has a monomial.
liubo4ka [24]
Length of each side of cube is = 3c^6d^2

SO the volume of cube = (Side)^3
                                      = (3c^6d^2)^3
                                      = 27 * (c^6)^3(d^2)^3
                                      = 27c^{18}d^6

SO the volume of cube is 27c^{18}d^6
9 0
3 years ago
Read 2 more answers
In a recent report, it was stated that the proportion of employees who carpool to their work is 0.14 and that the standard devia
natulia [17]

Answer:

n = 179

Step-by-step explanation:

See it in the pic

7 0
3 years ago
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