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Anastasy [175]
3 years ago
10

Which answer describes the simpler problems that could be used to solve this story problem?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0
She puts 11 pieces of fruit into each bag.
Multiply this by the number of people  going on the trip
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The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. W
aleksandrvk [35]

Answer: d. .2474.

Step-by-step explanation:

Given : The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.

The cumulative distribution function for exponential distribution is :-

P(X\leq x)= 1-e^{-\frac{x}{\lambda}}  

, where \lambda = Mean of the distribution.

The probability that the service time is between 2 and 4 minutes will be :

P(2\leq X \leq 4)=P(X\leq4)-P(X\leq 2)\\\\= (1-e^{\frac{-4}{2.5}})-(1-e^{\frac{-2}{2.5}})\\\\=e^{\frac{-2}{2.5}}-e^{\frac{-4}{2.5}}\\\\=0.449328964117-0.201896517995\\\\=0.247432446123\approx0.2474

Hence, the correct option is d. .2474.

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3 years ago
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A student solved for the radius of a circle with a circumference of 12π Step 1: C = 2 pi r. Step 2: 12 pi = 2 pi r. Step 3: Star
Greeley [361]

Answer:

The student made a mistake in step 4

The length of the radius should be 6 cm

Step-by-step explanation:

Let us write each step to find the radius of a circle from its circumference

Step 1:

∵ C = 2πr

∵ C = 12π

Step 2:

Equate 12π by 2πr

∴ 12π = 2πr

Step 3:

Divide both sides by 2π

∵ \frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }

Step 4:

∴ 6 = r

∴ The radius of the circle is 6 cm

The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r

Step 4:

∴ 6 = πr

So he divided both sides again by π

Step 5:

∵ \frac{6}{\pi }=\frac{\pi r}{\pi }

Step 7:

∴ \frac{6}{\pi } = r

The student made a mistake in step 4

The length of the radius should be 6 cm

3 0
3 years ago
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