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mr Goodwill [35]
1 year ago
15

Deana's Deli has a mean delivery time of 23 minutes with a standard deviation of 2 minutes. Determine the z-score for the number

of sandwiches delivered in less than 24 minutes. −0.5 0.5 11.5 12
Mathematics
1 answer:
LekaFEV [45]1 year ago
8 0

Answer:

o.5

Step-by-step explanation:

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A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at t
gayaneshka [121]

Answer:

the mathematical model is : -\frac{1}{A}= kt  - \frac{1}{50}

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

\frac{dA}{dt}  \ \alpha \ A^2

\frac{dA}{dt}= KA^2

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50

The variable is now being separated as:

\frac{dA}{A^2}=kdl

Taking integral of both sides; we have:

\int\limits\frac{dA}{A^2}=\int\limits \ kdt

-\frac{1}{A}= kt +C

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

-\frac{1}{50}= 0 +C

C = - \frac{1}{50}

Thus; the mathematical model is : -\frac{1}{A}= kt  - \frac{1}{50}

8 0
2 years ago
A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection
Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : p=0.35

Sample size : n= 500

Sample proportion : \hat{p}=\dfrac{156}{500}=0.312

Test statistic for population proportion :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78

Hence, the test statistic for this hypothesis test for a proportion= -1.78

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2 years ago
Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm s
mojhsa [17]

Answer:

Number of rectangles  could alex draw with an area of 11cm² = 1

Step-by-step explanation:

Minimum length in centimeter grid = 1 cm

Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²

That is

                  12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4

         These are the 3 different rectangles with an area of 12cm².

Now we need to find how many rectangles could alex draw with an area of 11cm².

                    11 = 1 x 11

So only one factorization is possible.

Number of rectangles  could alex draw with an area of 11cm² = 1

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You need that many more batches

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2 years ago
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