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2 years ago

Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Mathematics

2 answers:

umka2103 [35]2 years ago

8 0

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7

9966 [12]2 years ago

7 0

Answer- X=7

Hope this helps

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The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma

Lana71 [14]

Answer:

The advertisement should use 16 minutes.

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 manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that $m = 3.5, \mu = \frac{1}{3.5} = 0.2857$

What number of minutes should the advertisement use?

The values of x for which:

$P(X > x) = 0.01$

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

$\ln{e^{-0.2857x}} = \ln{0.01}$

$-0.2857x = \ln{0.01}$

$x = -\frac{\ln{0.01}}{0.2857}$

$x = 16.12$

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0

2 years ago

Which equation best represents a trend line for the scatter plot? These are fractions BTW.

kenny6666 [7]

(1, 8) and (7,1)
slope = (8-1)/(1-7) = -7/6
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6

equation
y = -7/6(x) + 55/6

answer
<span>y=−7/6 x+55/6 </span>

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2 years ago

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Zolol [24]

Answer:

x ≈ -0.90, y ≈ 2.31

x ≈ 1.40, y ≈ 9.19

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:

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2 years ago

You use 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins

Anettt [7]

10 cups of flour total. (8x30)/24

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3 years ago

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Amanda [17]

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