Does soil without nitrogen decrease the weight of worms when compared to soil with nitrogen? The weights of 14 randomly selected
worms are taken, 7 in soil with nitrogen, and 7 in soil without nitrogen. The mean weights of worms in soil without nitrogen was 35.3 micrograms, while the mean weights of worms in soil with nitrogen was 36.3 micrograms. A researcher randomized the data over 100 trials, and the difference of means for each trial is shown in the dot plot below. What can the researcher conclude from this study?
a. The difference in weights is not significant because an original difference of means of –1 is very likely
b. The difference in weights is significant because an original difference of means of –1 is not very likely
c. The difference in weights is significant because an original difference of means of –1 is very likely
d. The difference in weights is not significant because an original difference of means of –1 is not very likely
a. The difference in weights is not significant because an original difference of means of –1 is very likely
b. The difference in weights is significant because an original difference of means of –1 is not very likely
c. The difference in weights is significant because an original difference of means of –1 is very likely
d. The difference in weights is not significant because an original difference of means of –1 is not very likely
1 answer:
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Answer:
7. x = -2 +/-
8. x = 2 or x = 6
9. x = -2 +/-
10. t = -3 +/-
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/- . We need to add the imaginary i to this: +/-
= +/-
= +/-
Subtract 2 from both sides: x = -2 +/-
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/- . We again need i: +/-
= +/-
+/-
Subtract 2 from both sides: x = -2 +/-
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/-
Subtract 3: t = -3 +/-
Hope this helps!