Answer:
The resulting value is 2.381
Step-by-step explanation:
Using the information presented in the question, we will calculate the evidence supporting the professor's hypothesis
Given that:
x₁ = 74,
n₁ = 36
s₁ = 8
x₂ = 68
n₂ = 36
s₂ = 10
The hypotheses can be outlined as:
The critical value is t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀₁
thus,
t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀ = 2.381
This implies a range of -2.381 to 2.381
Thus, we can support the professor's assertion.
Answer:
Upper limit: 3.116
Lower limit: 3.125
Step-by-step breakdown:
The random circle drawn by Hellen has a circumference of C=405 mm, measured to 3 significant figures, leading to a diameter, d, of 130 mm, accurate to 2 significant figures.
We utilize the formula

Substituting in the figures provides:


Consequently, Hellen’s value for π is recorded as 3.115 to three decimal places.
To find both limits, we divide the specified level of precision by two.

This figure is then added to the rounded number to determine the upper limit:
3.115+0.0005=3.1155
The lower limit calculates as 3.115-0.0005=3.1145
Answer:
d) Both blocks experienced equivalent energy loss due to friction
Explanation:
As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race
This implies both blocks suffer from comparable friction loss
Moreover, we understand that
Energy loss from friction is 
Thus, the friction loss should be identical for both blocks
therefore, option d is the accurate choice
Response:
Sampling with replacement signifies that a marble is selected, its color is noted, replaced, and the box is shaken before another selection is made.
There are

marbles in total. The probability of selecting the first blue marble is

, then when Maya places this marble back, the chance of picking the second blue marble remains constant. By applying the product rule, the probability of drawing 2 blue marbles consecutively is

Please label my answer as the brainliest. Step-by-step explanation: When working on this problem, the key steps involve ensuring that the area of the first triangle equals the area of the newly formed triangle.