Answer:
Sources of electrical current
Step-by-step explanation:
Based on the information given the reason why
He/ She places a compass at different positions on a wall until the compass needle change to a direction was because the construction worker
was most likely using the compass to find the Sources of an ELECTRICAL CURRENT or where the ELECTRICAL CURRENT originated from reason been that ELECTRICAL CURRENT is the movement of electric charge from cathode to anode .
The answer is 3 + √5 and 3 - √5.
This is quadratic equation: x²
- 6x +
4 = 0
The general quadratic equation is ax² +
bx +
c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4
Now, x can be calculated using the formula:


From here:
Answer:
<em>Could an airplane take off and clear this tall building? YES</em>
Step-by-step explanation:
<u>Trigonometry</u>
The building and the ground form a right (90°) angle. The path of the airplane (assumed a straight line) completes the right triangle.
The takeoff angle of the plane θ=15° has the height of the building (450 feet) as the opposite side and the horizontal distance from the end of the runway (2500 feet) as the adjacent side.
The tangent of θ is defined as the following ratio:



Calculating the inverse tangent function:


This means the angle needed to clear the tall building is about 10° and it's within the maximum airplane's takeoff angle.
Could an airplane take off and clear this tall building? YES
Answer:
1,632 liters of liquid remain in the pitcher.
Step-by-step explanation:
Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:
368 milliliters = 0.368 liters
2 - 0.368 = X
1.632 = X
Therefore, 1,632 liters of liquid remain in the pitcher.
Answer:
Step-by-step explanation:
a. The data should be analyzed using paired samples because the economist made two measurements (samples) drawn from the same pair of identical cards. Each data point in one sample is uniquely paired to a data point in the second sample.
b. A pair is made up of two identical cards where one would go into Dutch auction and the other to the first-price sealed bid auction.
c. The explanatory variables are the types of online auction which are the Dutch auction and the first price sealed bid auction. The explanation variable here is categorical: the Dutch auction and the first price sealed bid auction.
d. The response variable which is also known as the outcome variable is prices for the 2 different auction for each pair of identical cards. This variable is quantitative.
e. Null Hypothesis in words: There is no difference in the prices obtained in the two different online auction.
Alternative hypothesis: There is a difference in the prices obtained in the two different online auction.
f. The parameter of interest in this case is the mean prices of pairs of identical cards for both auction and is assigned p.
g. Null hypothesis: p(dutch) = p(first-price sealed auction)
Alternative hypothesis: p(dutch) =/ p(first-price sealed auction)
h. Assuming the p-value is 0.17 at an assed standard 0.05 significance level, our conclusion would be to fail to reject the null hypothesis as 0.17 is greater than 0.05 or even 0.01 and we can conclude that, there is no statistically significant evidence to prove that there is a difference in the prices obtained in the two different online auction.