Answer:
The correct option is;
c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
Here we have the values
μ = 275 mL
275.4
276.8
273.9
275
275.8
275.9
276.1
Sum = 1928.9
Mean (Average), = 275.5571429
Standard deviation, s = 0.921696159
We put the null hypothesis as H₀: μ₁ = μ₂
Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂
The t-test formula is as follows;

Plugging in the values, we have,
Test statistic = 1.599292
at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912
Our p-value from the the test statistic = 0.1608723≈ 0.1609
Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.
If you read the graph it’s helps Uu better
Parallel means lines that never meet, and perpendicular are lines that meet at right angles.
Answer:
z' (-9,2)
Step-by-step explanation:
I recomend using desmos to show the relashinship
If you don't want to, thwn do this
Preimage
Since we are finding z, we only use the final cordinates
z'=(-9,2)
Hey there!
A reciprocal might be an unfamiliar vocab word, but the concept is really quite simple.
It's just a flipped fraction! Multiplying the flipped fraction by it's reciprocal gets you one, and that's how you check your answer.
So we have:
Reciprocal of 9/10 is 10/9, because 9/10 times 10/9 = 90/90 = 1
Reciprocal of 1/11 is 11/1, because 1/11 times 11/1 = 11/11 = 1
Reciprocal of 10(remember, it's 10/1) is 1/10, because 10/1 times 1/10 = 10/10 = 1
Hope this helps!