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2 years ago

Bill $42 , tax 9% , tip 18%

Mathematics

1 answer:

STatiana [176]2 years ago

8 0

Answer:

Tax 3.78 $ and tip 7.56 $

Step-by-step explanation:

42*0.09 = 3.78

42*0.18 = 7.56

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Find the roots. 5x^2-3=77

bija089 [108]

Answer:

3.2?? I am kinda confused

Step-by-step explanation:

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3 years ago

Jonathan, a college business student wants to study how many pages of notes fellow classmates took during a semester for a finan

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3 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

3 years ago

Find the value of x in the triangle shown below.

MrMuchimi

Answer: 102 degrees

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means that two angles are congruent as well.

180-(2(39))

=180-(78)

=102

5 0

3 years ago

A bag contains white marbles and green marbles, 62 in total. The number of white marbles is 3 less than 4 times the number of gr

Sedaia [141]

Answer:

There are 49 white marbles.

Step-by-step explanation:

w + g = 62 (w = white and g = green marbles).

w = 4g - 3

w - 4g = -3 Subtract this equation from the first equation:

g - (-4g) = 62 - (-3)

5g = 65

g = 65/5 = 13.

So w = 62 - 13 = 49.

3 0

3 years ago