Answer:
Position of point X on the number line must be X = -27
Step-by-step explanation:
Notice that there are 14 units between W and Y, since the absolute value of their difference is :
| -15-(-29) | = | -15 + 29 | = 14
Now let's write an equation that tells as what is the distance between W and X in terms of WY knowing that we want WX to be 1/7 of WY:
This is telling us that the point X must be located two (2) units to the right of point W. That is W + 2 = -29 + 2 = -27
Position of point X on the number line must be X = -27
Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:
DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:
<em>multiply both sides by 16</em>
<h3>Answer: CD = 8</h3>
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given by
where
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
Answer:
50%
Step-by-step explanation:
Since there is either heads or tails, meaning only two options you have a 50% chance of getting heads
