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4 years ago

Geometry math question no Guessing and Please show work

Mathematics

1 answer:

Mars2501 [29]4 years ago

3 0

Sum of internal angles on same side of transversal =180

8x-14 +2x+54=180

combining like terms

10x=180-40

x=140/10 =14

so x=14 option D

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Adan can do a piece of work in 3 days, Bernie in 4 days, and Cynthia in 6 days each working alone.

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Answer:

1 day and 8 hours

Step-by-step explanation:

Adan does 1/3 work each day,

Bernie does 1/4 work each day, and

Cynthia does 1/6 work each day

combined they accomplish 3/4 each day

therefore it would take them 1 day and 8 hours

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The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

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 average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

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3 years ago

One diagonal of a parallelogram has endpoints (4,6) and (-3,-1) Its other diagonal has endpoints (-2,5) and (3,0) Which is the m

pentagon [3]

Parallelograms are shapes with equal and parallel opposite sides

The most descriptive name for the quadrilateral is rhombus

<h3>How to name the quadrilateral</h3>

The endpoints of the diagonals are given as:

Endpoints 1: (4,6) and (-3,-1)
Endpoints 2: (-2,5) and (3,0)

Next, we plot the endpoints on a coordinate plane (see attachment)

From the attached figure, we can see that the quadrilateral is a rhombus

Hence, the most descriptive name for the quadrilateral is rhombus