Answer:
The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y
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Step-by-step explanation:
Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
7.84 <span> 56% off 14 is equal to (56 x 56) / 100 </span>
Answer:

Step-by-step explanation:
In probability,
"AND" means "multiplication"
"OR" means "ADDITION"
We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.
Let P(b) be probability of blue pen
Let P(y) be probability of yellow highlighter
We know probability of event is that event divided by total number of that
So,
There are 4 + 2 = 6 pens
Blue pen = 2
Hence,
P(b) = 2/6 = 1/3
And,
There are 5 highlighters
Yellow highlighter = 1
Hence,
P(y) = 1/5
Now,
P(b and y) = 1/3 * 1/5 = 1/15
Hence,
probability of grabbing blue pen and a yellow highlighter is 