Answer:
(a) 0.4242
(b) 0.0707
Step-by-step explanation:
The total number of ways of selecting 8 herbs from 12 is

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.
The probability = 
(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.
The probability = 
Answer:
(2 × 7 × 13) / (7 × 11) =
((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =
(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =
(2 × 1 × 13)/(1 × 11) =
(2 × 13)/11 =
26/11;
Step-by-step explanation:
Answer:
2.74 x 10 square root of 3
Step-by-step explanation:
hope this helps give brainliest
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Answer:
X = 30°, y = 15° and z = 150°.
Reason: Look below.
Step-by-step explanation:
Hey there!
When we look into the figure, we find that;
For x:
x+ 2x + 90° = 180° {Being linear pair}
or, 3x = 180°-90°
or, 3x = 90°
or, x= 90°/3
<u>Therefore, X = 30°.</u>
For y :
2y = x = 30° {Alternate angles are equal}
or, 2y = 30°
y = 30°/2
<u>Therefore, y = </u><u>1</u><u>5</u><u>°</u>
For z:
2y + z = 180° { Being linear pair}
or, 30°+z = 180°
or, z = 180°-30°
or, z = 150°
<u>Therefore, z = 150°.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>