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Ann [662]
3 years ago
6

Solve: This month Salesperson A made 11% of $67,530. Salesperson B made 8% of $87,740. Who made more commission this month? How

much did that salesperson make?
Mathematics
2 answers:
Alecsey [184]3 years ago
7 0
11% of 67530 = 11/100  * 67530 = 0.11 * 67530 = 7428.3

8% of 87740 = 8/100 * 87740 = 0.08 * 87740 = 7019.2

Saleperson A made more.

Saleperson A made $7428.3

Hope this helped.
alina1380 [7]3 years ago
4 0
Salesperson a made more commission and made a total of $74958
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Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

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Wewaii [24]
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Answer:

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Sent by ABC Speedy Delivery Service.

Event B: Arrived on time.

The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.

This means that P(A) = 0.71

The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.

This means that P(B|A) = 0.93

Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

This is P(A \cap B). So

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

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