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Naya [18.7K]
3 years ago
10

Four and two thirds add one and three fourths

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

4 2/3 + 1 3/4 = 6 5/12

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If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
agasfer [191]

Answer:

Gina=1/4 of 32=8 cans

Lisa=3/8 of 32 =12

Jen=1/4 of 32=8

Seth=1/8 of 32=4

total cans =32

Lisa collected 12 cans, Seth collected 4 cans

Lisa collected 8 cans more than Seth

5 0
3 years ago
Many people now turn to the Internet to get information on health-related topics. A research article used Flesch reading ease sc
romanna [79]

Answer:

a) The 90% confidence interval estimate of the difference in mean Flesch reading ease score for health-related pages on Wikipedia and health-related pages on WebMD = (-23.46, -10.54)

b) Since the confidence interval for possible difference in the population mean Flesch score for health related issues for the two websites doesn't contain a 0. It means there is a significant difference between the mean Flesch score for health related issues on WebMD websites and Wikipedia websites.

Specifically, the confidence interval obtained, being all negative, shows that the population mean Flesch score for health related issues on Wikipedia websites is lower than that of WebMD pages. This further indicates that it is easier to read health related issues on Wikipedia websites than health related issues on WebMD websites according to the range of values that the population mean difference in Flesch score for both sites can take on.

Step-by-step explanation:

When independent distributions are combined, the combined mean and combined variance are given through the relation

Combined mean = Σ λᵢμᵢ

(summing all of the distributions in the manner that they are combined)

Combined variance = Σ λᵢ²σᵢ²

(summing all of the distributions in the manner that they are combined)

For a difference in data distribution of the pages, the new distribution would be

X₁ - X₂

X₁ = Distribution for Flesch reading ease score for health-related pages on Wikipedia

X₂ = Distribution of Flesch reading ease score for health-related pages on WebMD

λ₁ = 1

λ₂ = -1

μ₁ = 26.6

μ₂ = 43.6

σ₁² = 14.7² = 216.09

σ₂² = 19.3² = 372.49

Combined mean difference = Σ λᵢμᵢ

= (1×26.6) + (-1×43.6) = -17

Combined variance = Σ λᵢ²σᵢ²

= (1²×216.09) + [(-1)²×372.49) = 588.58

Combined standard deviation = √(variance)

= √588.58 = 24.26

Confidence Interval for the population mean difference is basically an interval of range of values where the true population mean difference can be found with a certain level of confidence using the information from the sample provided.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean difference = -17

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 40 - 1 = 39.

Significance level for 90% confidence interval

(100% - 90%)/2 = 5% = 0.05

t (0.05, 39) = 1.685 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 24.26

n = sample size = 40

σₓ = (24.26/√40) = 3.836

90% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = -17 ± (1.685 × 3.836)

CI = -17 ± 6.46366

90% CI = (-23.46366, -10.53634)

90% Confidence interval = (-23.46, -10.54)

b) Since the confidence interval for possible difference in the population mean Flesch score for health related issues for the two websites doesn't contain a 0. It means there is a significant difference between the mean Flesch score for health related issues on WebMD websites and Wikipedia websites.

Specifically, the confidence interval obtained, being all negative, shows that the population mean Flesch score for health related issues on Wikipedia websites is lower than that of WebMD pages. This further indicates that it is easier to read health related issues on Wikipedia websites than health related issues on WebMD websites according to the range of values that the population mean difference in Flesch score for both sites can take on.

Hope this Helps!!!

6 0
3 years ago
Determine whether the lines are parallel.<br> A.yes<br> B.no
Akimi4 [234]
ANSWER : Yes the lines are parallel equal
3 0
3 years ago
Read 2 more answers
Amara needs 4 5 kilograms of meat to feed her 2 pet dragons each day. Each pet dragon eats the same amount of meat. How many kil
olasank [31]

Answer:

90 kilograms

Step-by-step explanation:

If 45 kilograms feeds 2 dragons, and you want to feed 2 more dragons, just multiply 45 x 2 (dragons) it'll give you 90 kilograms. Hope that helped!

5 0
3 years ago
Read 2 more answers
Select the correct answer. The graph of function f is shown. An exponential function passes through (minus 4, 9), (0, 1), (1, 0)
aksik [14]

The answer choice which correctly draws a comparison between the end behaviours of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

<h3>Which answer choice correctly compares the end behaviour of the functions?</h3>

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

Read more on end behaviour of functions;

brainly.com/question/1365136

#SPJ1

4 0
2 years ago
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