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Law Incorporation [45]
3 years ago
5

The vet told Jake that his dog, Kevin, who weighed 78 pounds, needed to lose 14 pounds. Jake started walking Kevin every day and

changed the amount of food he was feeding him. Kevin lost 1.5 pounds in the first week. Jake wants to follow the vet's advice. So, how many weeks, w, will it take Kevin to lose the weight in pounds, p.
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

It will take approximately 9.3 weeks for Kevin to lose the

Step-by-step explanation:

current weight  of Dog = 78 pounds

Required weight to be shed off = 14 pounds

weight lost in 1 week = 1.5 pounds

Let the number of weeks required to lose 14 pounds be w.

Assuming that the rate of weight loss per week is constant

(weight lost in 1 week) × (number of weeks) = 14 pounds

1.5 × w = 14

w = 14 ÷ 1.5 = 9.3 weeks

Therefore it will take approximately 9.3 weeks for Kevin to lose the weight

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Answer:

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Step-by-step explanation:

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2 years ago
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confide
FrozenT [24]

Question:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of ​$114.00. Assume the population standard deviation is ​$15.30. Construct a​ 90% confidence interval for the population mean.

Answer:

At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516

At the 95% confidence level, confidence interval = 109.53 < μ < 118.48

The 95% confidence interval is wider

Step-by-step explanation:

Here, we have

Sample size, n = 45

Sample mean, \bar x = $114.00

Population standard deviation, σ = $15.30

The formula for Confidence Interval, CI is given by the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where, z is found for the 90% confidence level as ±1.645

Plugging in the values, we have;

CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}

or CI: 110.2484 < μ < 117.7516

At 95% confidence level, we have our z value given as z = ±1.96

From which we have CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}

Hence CI: 109.53 < μ < 118.48

To find the wider interval, we subtract their minimum from the maximum as follows;

90% Confidence level: 117.7516 - 110.2484 = 7.5

95% Confidence level: 118.47503 - 109.5297 = 8.94

Therefore, the 95% confidence interval is wider.

8 0
3 years ago
Read 2 more answers
Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows
Maru [420]

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow =  48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

6 0
2 years ago
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lorasvet [3.4K]

Answer:

The value of k is 1.

Step-by-step explanation:

x – 1 is a factor of f(x)

This means that:

x - 1 = 0

x = 1

That means that when x = 1, y = 0. We use this to find the value of k.

f(x) = 3x^3 - 4x + k

3*1^3 - 4(1) + k = 0

3 - 4 + k = 0

k = 1

The value of k is 1.

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2 years ago
Write the ratio in the simplest form 25 to 45
Bond [772]

Answer: 5/9 is the simplified fraction for 25/45 by using the GCD or HCF method. Thus, 5/9 is the simplified fraction for 25/45 by using the prime factorization method.

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2 years ago
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