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Mama L [17]
3 years ago
11

Mrs Taylor looks at reviews online of the two hotels. Each category has been scored out of 10.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
4 0
This is wanting you to find the average. So add up the services and divide them by the number of services. The answer is Allcante Royal Hotel, which has a mean of 8. The other one has a mean of 7
maxonik [38]3 years ago
3 0

Answer:

The mean of Hotel Alicante Royal is greater than that of Hotel Alcudia palace.

Step-by-step explanation:

We are asked to find which hotel has higher mean for service?

So we will find the mean of service of both the hotel and compare which has higher mean.

Hotel: Alcudia Palace Hotel.

Service:  9   6.8    0      8      8.2     9     8     7

There are total 8 numbers.

Hence, the mean is:

Mean=\dfrac{9+6.8+0+8+8.2+9+8+7}{8}=\dfrac{56}{8}=7

Hotel: Alicante Royal Hotel

Service:  6    7.4     8     8.6      9      9

There are 6 values.

Hence, the mean is:

Mean=\dfrac{6+7.4+8+8.6+9+9}{6}=\dfrac{48}{6}=8

Clearly the mean of Hotel Alicante Royal Hotel is greater than Hotel Alcudia palace.

(Since 8>7).

The hotel which has higher mean value for service is:

Alicante Royal Hotel

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The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store
tangare [24]

Answer: d(x)=-750x^2-3750x-10500


Step-by-step explanation:

Given: The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store, in dollars, where x represents the number of months from September.

d(x)=-750(x^2-5x-14)

To rewrite this hat reveals the store's opening inventory of down comforters in the month of September, multiply -750 on the bracket, we get

d(x)=-750x^2-3750x-10500

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A rectangle has a perimeter of 54 cm. It has a length of 15 cm. What is its area? *
d1i1m1o1n [39]

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2 years ago
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

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