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3 years ago

8

The area of one fabric is 4.85 square what is the area of a quilt made with 10.2 fabric squares

1 answer:

Sindrei [870]3 years ago

5 0

10 x 10 = $2_{10}$

since 1 square equals 4.85 sq inches we can multiply 4.85 with 100

4.85 x 100 = 485

so, your answer is <u>485 </u>

hope this helps!

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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

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Step-by-step explanation:

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3 years ago

Can someone help me with this math problem please and thank you. :-)

jok3333 [9.3K]

Triangle ABE is isosceles / Given

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3 years ago

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x

RoseWind [281]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

P(a < X < b) = $\int_{a}^{b} \frac{2}{x^{3}} dx$ = $2\int_{a}^{b} x^{-3} dx$

= $2[ \frac{x^{-3+1} }{-3+1}]^{b}_a dx$ { Because $\int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a$ }

= $2[ \frac{x^{-2} }{-2}]^{b}_a$ = $\frac{2}{-2} [ x^{-2} ]^{b}_a$

= $-1 [ b^{-2} - a^{-2} ]$ = $\frac{1}{a^{2} } - \frac{1}{b^{2} }$

a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }

Comparing with general probability we get,

P(1 < X < 5) = $\frac{1}{1^{2} } - \frac{1}{5^{2} }$ = $1 - \frac{1}{25}$ = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/ $8^{2}$ - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = $\frac{1}{6^{2} } - \frac{1}{10^{2} }$ = $\frac{1}{36} - \frac{1}{100 }$ = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

= $(\frac{1}{1^{2} } - \frac{1}{6^{2} })$ + (1/ $10^{2}$ - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

⇒ P(1 < X < x) = 0.75

⇒ $\frac{1}{1^{2} } - \frac{1}{x^{2} }$ = 0.75

⇒ $\frac{1} {x^{2} }$ = 1 - 0.75 = 0.25

⇒ $x^{2}$ = $\frac{1}{0.25}$ ⇒ $x^{2}$ = 4 ⇒ x = $2$

Therefore, value of x such that P(X < x) = 0.75 is 2.

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2 years ago