Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
Answer:
Step-by-step explanation:
If X is the midpoint then segment VW is congruent to segment YZ, segment VX and YX are congruent, segments WX and XZ are congruent.
Okay first set up the equation
x
--- -2 = 5.5
-3
add over the 2
x
--- = 7.5
-3
now you need to multiply the denominator by the answer
(-3)(7.5) = x
-22.5 = x
Answer:
7
Step-by-step explanation:
take the perimeter of what you have now (14) and divide it by 2, because it is dilated by 1/2
The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.
A plane that travels a distance , in kilometers, with a bearing of sexagesimal degrees can be represented in standard position by means of the following expression:
(1)
We can obtain the resulting vector () by the principle of superposition:
(2)
If we know that , , , , and , then the resulting vector is:
The magnitude of the resultant is found by Pythagorean theorem:
And the bearing is determined by the following <em>inverse</em> trigonometric relationship:
(3)
If we know that and , then the magnitude and the bearing of the resultant is:
The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.
To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479