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3 years ago

Lines m and n are parallel.

Mathematics

2 answers:

postnew [5]3 years ago

8 0

Answer:

Step-by-step explanation:

natka813 [3]3 years ago

5 0

Answer:

The angle 1 will be equal to 55°.

Step-by-step explanation:

See the attached diagram.

Here, line m and line n are parallel and line k is the transverse line.

So, from the properties of parallel lines with a transverse line the angle 55° and the angle 1 are corresponding angles and they are equal.

Therefore, angle 1 will be equal to 55°. (Answer)

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

Write the slope-intercept form of the equation of the line described.

Harman [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

Evaluate: \frac{23}{56} + \frac{3}{8} - ( - \frac{4}{28} )

MrMuchimi

I think this is what you mean. I don't know why the Latex didn't work. Good for you that you can use it.

$\frac{23}{56} + \frac{3}{8} - \frac{-4}{28}$
$\frac{23}{56} + \frac{3}{8} - \frac{-4}{28}$ Reduce the 4/28 to 1/7
$\frac{23}{56} + \frac{3}{8} - \frac{-1}{7}$ Make the 2 minuses into a +
$\frac{23}{56} + \frac{3}{8} + \frac{1}{7}$ 56 is the common denominator.
$\frac{23}{56} + \frac{21}{56} + \frac{8}{56}$

Answer = [23 + 21 + 8] / 56 = 52 / 56 = 13 / 14 When both numerator and denominator are divided by 4

13 / 14 <<<< answer.

5 0

3 years ago

A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many m

ValentinkaMS [17]

1.50 + 0.50(x-1) < 25

1.50 + 0.50x - 0.50 < 25
1 + 0.50x < 25
-1 -1
0.50x < 24
 ÷0.50 ÷0.50
x < 48

1.50 + 0.50x < 25 ; x < 47 miles 3rd option in the choices.

To check:

1.50 + 0.50(47) < 25
1.50 + 23.50 < 25
25 < 25

5 0

3 years ago

The Pythagorean theorem can only be used with witch type of triangle

HACTEHA [7]

Answer:

Right Triangles

Step-by-step explanation:

3 0

2 years ago