For a two-tailed test we need to halve 0.01, giving 0.005. Then we need to sutract 0.005 from 0.5, giving 0.5 - 0.005 = 0.495. Looking up the p value of 0.495 in an inverse normal probability table we obtain the value z = 2.5758. Therefore the critical values are -2.5758 and 2.5758.
Answer:
Answer is tan(20 degrees) so, D.
Step-by-step explanation:
Answer:
y ≈ 12.3
Step-by-step explanation:
Using the SOH CAH TOA identity to get the value of y as shown;
sin theta = opposite/hypotenuse
opposite = y
hypotenuse = 15cm
theta = 180-(35+90)
theta = 180-125
theta = 55 degrees
sin 55 = y/15
y = 15sin55
y = 12.287
y ≈ 12.3 (to the nearest tenth)
<u><em>Answers:</em></u>
AD = 10 units
BD = 12 units
<u><em>Explanation:</em></u>
<u>1- getting AD:</u>
In an isosceles triangle, the two non-parallel sides are equal.
It is given that trapezium ABCD is isosceles which means that AD = BC
<u>We are given that:</u>
BC = 10 units
<u>Therefore:</u>
AD = BC = 10 units
<u>2- getting DB:</u>
In an isosceles trapezium, the diagonals are congruent
Since the given trapezium is isosceles and AC and BD are its diagonals, therefore:
AC = BD
<u>We are given that:</u>
AC = 12 units
<u>Therefore:</u>
BD = AC = 12 units
Hope this helps :)