Answer:
$9,769.50
Step-by-step explanation:
8,350(1.17) = 9,769.5
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Answer: the normal curve can be used as an approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112
Step-by-step explanation:
for a binomial experiment to be approximated to normal distribution, the following conditions must be present:
i. sample size must be large, in this case sample size is 112
ii. the mean must be equal to np,where n is sample size and p is probability of success
iii. the standard deviation must be equal to npq,where q is the probability of failure
The answer is 59.99 because if you divide 180 by 21 you will get 8.57..... Then you need to multiply 8.57..... by 7 to get 59.99
From the diagram;
1. Angle 2 = ADB+BDH
= arcAB/2 +90
= 34 +90
= 124°
2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.
3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
= 90-arc BC/2
= 90-36
= 54°
4. Angle 6 = BFD
= 180-ADB-FBD
= 180-AB/2-DE/2
But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
= 116.5°
5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
= 180- 116.5
= 63.5°
6. Angle 3 = 180 -(ADB+BFD)
= 180 -(34 +116.5)
= 180- 150.5
= 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°
7. Angle 8= 90, because BD is diameter;
angles subtended by a diameter to the circumference is always a right angle (90°)
8.Angle 7 = BE
but BE= AB+AE
= 68+ 53
= 121°
