Which graph and equation shows a proportional relationship between x and y?

Mathematics

2 answers:

storchak [24]3 years ago

8 0

Answer:

Only the first graph with equation,

y = 11.5x

shows a proportional relationship between x and y.

Step-by-step explanation:

Only the first graph with equation,

y = 11.5x

shows a proportional relationship between x and y.

We know that y is proportional to x , written as,

y ∝ x

only when, y = $k \times x$ where k ≠ 0

kifflom [539]3 years ago

3 0

Answer:

The first graph

Step-by-step explanation:

Every other graph's equation is y=mx+b,and the +b part makes it non-proportional.

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A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as

mina [271]

Answer:

Step-by-step explanation:

Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.

From the data given we get the following

N Mean StDev SE Mean

Sample 1 8 43 5.1824 1.832

Sample 2 5 73 21.0832 9.429

df = 11

Std dev for difference = 13.3689

a) Yes the two are independent. The two sets of cows randomly chosen are definitely independent. Paired means equal number should be there and homogeneous conditions should be maintained.

b) Enclosed

c) Comparison of two means is the test recommended here. Because independent samples are used.\

d) Test statistic= -3.1233

(because of unequal variances we use that method)

95% confidence interval = ( -56.6676 , -3.3324 )

p value <0.05 our alpha

So reject null hypothesis.

The two means are statistically significantly different.