Answer:
The value is
Step-by-step explanation:
From the question we are told that
The vector is a=<-4,-3,5>
Generally the unit vector is
Here y represent the y-coordinate
So
=>
Generally the resultant of a unit vector is 1
So
Hence
Taking the square of both sides
=>
=>
=>
Rationalizing
=>
Given that the first coordinate is positive
Hence the unit vector is
=>
Answer:
a) probability that the sample will have between 50% and 60% of the identification correct = 0.498
b) The probability is 90% that the sample percentage is contained 45.5% and 54.5% of the population percentage
c) Probability that the sample percentage of correct identifications is greater than 65% = 0.01
Step-by-step explanation:
Sample size, n = 200
Since the brands are equally likely, p = 0.5, q = 0.5
The Standard deviation,
a) probability that the sample will have between 50% and 60% of the identification correct.
Probability that the sample will have between 50% and 60% of the identification correct is 0.498
b) p = 90% = 0.9
Getting the z value using excel:
z = (=NORMSINV(0.9) )
z = 1.281552 = 1.28 ( 2 dp)
Then we can calculate the symmetric limits of the population percentage as follows:
The probability is 90% that the sample percentage is contained 45.5% and 54.5% of the population percentage
c) Probability that the sample percentage of correct identifications is greater than 65%
P(X>0.65) = 1 - P(X<0.65)
B
5/4 times 4/5X=8/1 times 5/4
X=40/4
X=10
Answer:
9 years. Jose's salary will be $5,200.
Step-by-step explanation:
It's hard to explain how I solve this problem. But I know it's correct.
20% of 100 would be 20; so if we add on 20 to 100 we get:
120 grams to make a 10 cup pot of coffee.
Now, we need to convert 120 grams for 10 cups, into 15 cups.
So we essentially need to add on 5 more cups of coffee: So we will take half of the amount it took to make 10, and add it.
(120g/2 + 120g ) = 15 cup brew.
(60g + 120g) = 15 cup brew
180g = 15 cup brew.
Therefore, he will need 180g to make a 15-cup pit if Arabica Coffee.
I Hope this Helps!