Answer:
The blue area is y is less than or equal to 5
The purple area is y is greater than or equal to x.
The green area is less than or equal to 2.
Step-by-step explanation: The solid lines indicate that y=5, y=x. and x=2 Also the shaded regions would be y<5, y>x and x<2
Sorry my keyboard doesn't have the symbols for <= less than or equal to or greater than or equal to >= so I have to spell them out.
Answer: 482
Step-by-step explanation:
Formula to find the sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Population standard deviation and E = Margin of error.
As per given , we have
Margin of error : E= 3
Confidence level = 90%
Significance level =
Using z-table , the critical value for 90% confidence=
Required minimum sample size = [Substitute the values in formula (1)]
[ Round to the next integer]
Hence, the number of observations required is closest to 482.
Answer: Hello mate!
We have the equation 2x^2 + x = 14
let's solve it for x:
2x^2 + x - 14 = 0
the solutions can be obtained with the equation:
then the solutions are:
(-1 - 10.63)/4 = -2.907, that rounded to the hundreths is equal to -2.91 (because the number after the hundredth place is a 7, so we round up)
and
(-1 +10.63)/4 = 2.407, that when rounded to the hundreths place is equal to 2.41 (the same reason as before)
then the answers are -2.91 and 2.41
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainliest please
Its the third option y-9=-1/4(x+2) because the equation for point slope form is y-y1= m(x-x1) so because there is a negative 2 it is a positive 2. Remember a negative minus a negative is a positive. Hope this helped :)!