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2 years ago

Harry collects sedimentary and igneous rocks in the ratio 16:9. What percentage are igneous?

Mathematics

1 answer:

frosja888 [35]2 years ago

6 0

Answer:

9% or 0.09

Step-by-step explanation:

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In this problem we will be dealing with the probability density function (pdf) associated with a continuous random variable, X.

konstantin123 [22]

Answer:

$b)\ 0.568$

Step-by-step explanation:

Given

$f(x) = 6x(1- x);\ 0 \le x \le 1$

Required

$P(0.3 < x < 0.7)$

From the question, we have:

$P(a < x < b) = \int\limits^b_a {f(x)} \, dx$

So, we have:

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx$

Open bracket

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx$

Integrate

$P(0.3 < x < 0.7) = \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}$

$P(0.3 < x < 0.7) = 3x^2 - 2x^3|\limits^{0.7}_{0.3}$

Substitute 0.7 and 0.3 for x

$P(0.3 < x < 0.7) = (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)$

Using a calculator, we have:

$P(0.3 < x < 0.7) = (0.784) - (0.216)$

Remove brackets

$P(0.3 < x < 0.7) = 0.784 - 0.216$

$P(0.3 < x < 0.7) = 0.568$

3 0

2 years ago

4<br> Subtract. Write the expression below in simplest form.<br> (-x + 3) - (4x-10)

ycow [4]

Answer:

Step-by-step explanation:

(-x + 3) - (4x - 10)

= - x + 3 - 4x + 10 (because when you see the minus sign you have to change all the sign inside the bracket)

= -5x + 13 (this step is just subtract -x and -4x and 10 + 3)

5 0

3 years ago

Anyone know this question

Vedmedyk [2.9K]

Answer is 70degree because if angle 1 is 70 then angle 2 also will be the same then it means even angle 3 will be 70.
HOPE IT HELPS :)

8 0

3 years ago

a group of musicians wants to sell a total of 1,000 tickets for 20 concerts suppose they sell the same number of tickets for eac

solniwko [45]

Answer:

50 tickts

Step-by-step explanation:

We want to spread 1,000 tickets equally over 20 concerts. This calls for division

1000/20=50

50 tickets are sold each concert

3 0

3 years ago

Please help me solve this!!

il63 [147K]

Answer:i think it is three but i am not 100 percent sure

Step-by-step explanation:

6 0

3 years ago