If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False

A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is

Andreas93 [3]

If its a fair 2 sided coin thats flipped tice the poibillity of getting heads or tails would be 2 and 1/2 so it would be 2 1/2 over 5

6 0

2 years ago

A realty company looks at a recent sample of houses that have sold On testing the nul hypothesis that 57% of the houses take mor

Murrr4er [49]

Answer:

The correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

Step-by-step explanation:

Consider the provided information.

The Null hypotheses is 57%,

$H_0: \mu=0.57\\H_a: \mu>0.57$

P-value is given as 0.026

Here P value represents the probability.

0.026 can be written as: 2.6%

Thus the conclusion is:

If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained.

Hence, the correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

7 0

3 years ago

What is the midline equation of y = -4sin (2x - 7) + 3?

Georgia [21]

Answer:

$y = 3$ .

Step-by-step explanation:

The minimum and maximum value of $\sin(2\, x - 7)$ over all real $x$ are $(-1)$ and $1$ , respectively. Hence, the maximum and minimum value of $y = -4\, \sin(2\, x - 7) + 3$ would be:

Maximum: $y = (-4)\, (-1) + 3 = 7$ .
Minimum: $y = (-4)\, (1)\ + 3 = (-1)$ .

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum $y$ -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum $y\!$ -values is $(1/2) \, (7 + (-1)) = 3$ . Hence, the midline equation of this sine wave would be $y = 3$ .