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2 years ago

Solve the inequality

Mathematics

2 answers:

zimovet [89]2 years ago

7 0

Answer:

B. x ≤ 3.

Step-by-step explanation:

7 + x ≤ 10

x ≤ 10 - 7

x ≤ 3.

KonstantinChe [14]2 years ago

6 0

Answer:

Step-by-step explanation:

Given

7 + x ≤ 10 ( subtract 7 from both sides )

x ≤ 3 → B

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What number would be ten times greater than 0.05?

Nastasia [14]

Answer:

0.5?

Step-by-step explanation:

8 0

2 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

Please help this is urgent and I am being timed

Shkiper50 [21]

Hi there!

Pauline simplified the expression correctly.

Pauline made sure she used the distributive property and combined like terms after doing so.

Hope this helps !

5 0

2 years ago

The equation of the circle whose center is at (3, 7) and whose radius is 6 is a. (x + 3)² + (y + 7)² = 6 b. (x + 3)² + (y + 7)²

kicyunya [14]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{7}{ k})\qquad \qquad 
radius=\stackrel{6}{ r}
\\\\\\
(x-3)^2+(y-7)^2=6^2\implies (x-3)^2+(y-7)^2=36$

8 0

2 years ago

he equation of a line is y=2/3 x + 5. What is an equation of the line that is perpendicular to the given line and that passes th

Levart [38]

2/3 × m2 = - 1
m2 = - 3/2

2 = - 3/2(4) + c
4 = - 12 + 2c
2c = 16
c = 8
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