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2 years ago

A.)90 B.)41 C.)15 D.)83

Mathematics

1 answer:

Natalija [7]2 years ago

3 0

Answer:

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

Being x terms to 1 side, constant to the other:

6x -4x= 23 +7

Simplify:

2x= 30

Divide both sides by 2:

x= 15

Substituting the value of x:

m∠ABC

= 6(15) -7

= 83

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2 years ago

The line width of a tool used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micromete

Assoli18 [71]

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a. 0.82%

b. 71.11%

c. 0.564 micrometer

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 0.62 copies we have:

z = (0.62 - 0.5) / (0.05)

z = 2.4

and this value represents 0.9918

p (x > 0.62) = 1 - 0.9918

p (x > 0.62) = 0.0082 = 0.82%

So for 0.47 copies we have:

z = (0.47 - 0.5) / (0.05)

z = -0.6

and this value represents 0.2742

So for 0.63 copies we have:

z = (0.63 - 0.5) / (0.05)

z = -2.6

and this value represents 0.9953

p (0.47 > x > 0.63) = 0.9953 - 0.2742

p (0.47 > x > 0.63) = 0.7211 = 72.11 %

So for x copies we have:

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4 0

2 years ago

Jimmy’s Delicatessen sells large tins of Tom Tucker’s Toffee. The deli uses a periodic review system, checking inventory levels

Yakvenalex [24]

Answer:

The restocking level is 113 tins.

Step-by-step explanation:

Let the random variable X represents the restocking level.

The average demand during the reorder period and order lead time (13 days) is, μ = 91 tins.

The standard deviation of demand during this same 13- day period is, σ = 17 tins.

The service level that is desired is, 90%.

Compute the z-value for 90% desired service level as follows:

$z_{\alpha}=z_{0.10}=1.282$

*Use a z-table for the value.

The expression representing the restocking level is:

$X=\mu +z \sigma$

Compute the restocking level for a 90% desired service level as follows:

$X=\mu +z \sigma$

$=91+(1.282\times 17)\\=91+21.794\\=112.794\\\approx 113$

Thus, the restocking level is 113 tins.

6 0

3 years ago