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UkoKoshka [18]
2 years ago
14

the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.

0 gallons are pumped during a randomly selected minute.
Mathematics
1 answer:
Tema [17]2 years ago
3 0

Answer: 1/3

Step-by-step explanation:

Here is the complete question:

machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.

The Probability of the above question will be calculated as:

= (10-9) / (11.5 - 8.5)

= 1/3

The above is the easier way to solve this

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Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2
Arte-miy333 [17]
-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
y = 5

solution is (2,5)

8 0
3 years ago
Can someone help me with this math homework please!
mamaluj [8]

Answer:

The rock hits the ground between <u>2</u> seconds and <u>2.5</u> seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

4 0
3 years ago
If u = 2i - j; v= -5i + 4j and w = j find 4u (v -w).
Sedaia [141]

Answer:

-40

Explanation:

Given

u = 2i - j; v= -5i + 4j and w = j

Required

4u(v-w)

4u = 4(2i) = 8i

v - w = -5i + 4j - j

v - w = -5i + 3j

Substitute

4u(v-w)

= 8i(-5i+3j)

= -40(i*i) [since i*i = 1]

= -40

Hence the required solution is -40

5 0
1 year ago
X -5x -14=0 quadratic formula
Oksanka [162]
No its a negitive number one x minus five x's equal -14
8 0
3 years ago
A geometric sequence has a first term of 3 and a fourth term of 81÷8.<br><br> Find the eighth term
tatuchka [14]

Answer:

6561 / 128

Step-by-step explanation:

The nth term of a geometric sequence is:

a = a₁ (r)ⁿ⁻¹

The first term is 3, and the fourth term is 81/8.

81/8 = 3 (r)⁴⁻¹

27/8 = r³

r = 3/2

The eighth term is therefore:

a = 3 (3/2)⁸⁻¹

a = 6561 / 128

5 0
3 years ago
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