"A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. The null hypothesis is ."

the null hypothesis is that the average is 7.55 in the sample presented

Step-by-step explanation:

We are told that there is a hypothesis that the average in a hospital is 6.6 pounds.

A random sampling of 7 babies is made: 9.0, 7.3, 6.0, 8.8, 6.8, 8.4 and 6.6 pounds.

Let's calculate the mean:

m = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6) / 7

m = 7.55 pounds.

This means that the sample taken from this hospital contradicts the hypothesis proposed at the beginning, since it is a value that exceeds the aforementioned average.

The hypothesis would be valid if it had been mentioned that the mean is 6.6 + - 1.

That is, the maximum value would be 7.6 pounds, therefore it would be valid there.

But this is not the case, therefore the null hypothesis is that the average is 7.55 in the sample presented

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18