Herr is a balance hanger diagram a circle has a mass of three grams and a square has a mass of two grams which is the mass of th
1 answer:
The hanger diagram ideally should be in balance with all the shapes hung on it.
On the left side, it shows that the circles are 9 grams and the squares are 12 grams. The triangles are 2t grams. Therefore, on the left side we have,
9 + 12 + 2t
On the right side, it shows the circles are 6 grams and the squares are 6 grams, while the triangles are 5t grams. Therefore on the right side we have
6 + 6 + 5t.
For the hanger to be in balance, we should have
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Answer:
Rui will reach his lowest altitude after diving for 10 seconds
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where
- h =
and k = y at x = h
In the given question
∵ d(x) = x² - 10 x
∵ d represents his altitude in meters after x seconds
→ Compare it with the form above to find a and b
∴ a = and b = -10
∵ h =
→ Substitute the values of a and b in the rule to find h
∴ h = = 10
∴ h = 10
∵ h is the x-coordinate of the lowest point
∴ The time of the lowest altitude is 10 seconds
∴ Rui will reach his lowest altitude after diving for 10 seconds
Answer:
The point of estimate for the true difference would be:
And the confidence interval is given by:
Step-by-step explanation:
For this case we have the following info given:
the sample mean for the first sample
the sample mean for the second sample
the sample deviation for the first sample
the sample deviation for the second sample
the sample size for the first group
the sample size for the second group
The confidence interval for the true difference is given by:
We can find the degrees of freedom are given:
The confidence level is given by 90% so then the significance would be and
we can find the critical value with the degrees of freedom given and we got:
The point of estimate for the true difference would be:
And replacing into the formula for the confidence interval we got: