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Fed [463]
3 years ago
9

Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Mathematics
2 answers:
Kipish [7]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step explanation:

If a line passing through two points, then the slope of a line

m=\frac{y_2-y_1}{x_2-x_1}

It is given that the in Relationship A, the line passing through the points (5, 2) and (10, 4). Rate of change of Relationship A is,

m_A=\frac{4-2}{10-5}=\frac{2}{5}=0.4

In option A, the Rate of change of Relationship B is,

m_B=\frac{2.4-1.8}{4-3}=\frac{0.6}{1}=0.6

In option B, the Rate of change of Relationship B is,

m_B=\frac{1.2-0.9}{4-3}=\frac{0.3}{1}=0.3

In option C, the Rate of change of Relationship B is,

m_B=\frac{2-1.5}{4-3}=\frac{0.5}{1}=0.5

In option D, the Rate of change of Relationship B is,

m_B=\frac{3.6-2.7}{4-3}=\frac{0.9}{1}=0.9

Only in option B, the Relationship B has a lesser rate than Relationship A. Therefore option B is correct.

hram777 [196]3 years ago
3 0

Table B could represent Relationship B

 

Time (weeks) 3 4 6 9

Plant growth (in.) 0.9 1.2 1.8 2.7

 

The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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kap26 [50]

Answer:

0.05 difference

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet wi
vladimir2022 [97]
Let g_n represent the number of feet that the balloon rises in the n^{th} minute.

so

g_1=40 ft , means that in the 1st minute, the balloon rose 40 feet

g_2=60 ft, means : in the 2nd minute the balloon rose 60 feet

g_3=80

we notice that each minute, the balloon rises a multiple of 20, feet:

g_1=40=2*20 

g_2=60=3*20 

g_3=80=4*20

so it is clear that g_n=(n+1)*20

during the 15th minute the balloon rises g_1_5=16*20=320(feet)


Answer: 320


6 0
3 years ago
Given g (x) = -x + 3, find g(1)
Salsk061 [2.6K]

Answer:

2

Step-by-step explanation:

g (x) = -x + 3

g(1) = -(1) + 3

= 2

Hope this helped! If so, plz mark brainliest.

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
Which of the following
Black_prince [1.1K]

Answer:

Step-by-step explanation:

-12 = 3/4n + 8....subtract 8 from both sides

-12 - 8 = 3/4n

-20 = 3/4n.....multiply both sides by 4/3, cancelling the 3/4 on the right

-20 (4/3) = n

-80/3 = n

ur answer is A

4 0
3 years ago
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