Answer:
<em>The probability that neither box contains a prize is 0.5625 or 56.25%</em>
Step-by-step explanation:
<u>Independent Events</u>
It's referred as to the case when the probability of success (or failure) of the event A doesn't interfere with the probability of B. In this question we'll assume there are enough boxes of cereal of each type to make the choosing of one of them affect very little the choosing of the other one.
Let's call p=0.25 to the probability of getting a cereal box with a prize, and q=0.75 to the negation of p, i.e. the probability of getting a ceral box without a prize. There are four possible combinations: {pp,pq,qp,qq}. We need to find the probability of the combination qq. We compute it as the product of the individual probabilities

In other words, the probability that neither box contains a prize is 0.5625 or 56.25%
When you plot the data in a pie graph, it looks like that shown in the picture. A circle is formed when you draw a point and connect it from end to end forming a complete revolution. One revolution equals 360°. Therefore, each piece of pie for each type of book is a fraction of one revolution. The fraction can be determined by dividing the number for a specific type of book to the total number of books. Specifically, the fraction for the Self Help slice would be 90/375 which is equal to 0.24 or 24%. Then, 24% of 360 is 86.4. Therefore, the central angle formed by the Self Help slice is 86.4°.
Hello!!
So what they are giving you is the x,y coordinate of the terminal side of an angle. Meaning 4,10 is the point x=4 and y= 10.
So if we have that, then we can solve for the quadrant that the angle falls in. So for two positive values it tells us it falls in quad 1.
So we have x and y so now use x^2+y^2=h^2 to solve for hypotenuse.
So we get h=sqrt(4^2+10^2)= sqrt(116) or 2*sqrt(29).
Now knowing our trig identities.
Sin= y/h
Cos=x/h
Tan=y/x
Csc=h/y=1/sin
Sec=h/x=1/cos
Cot=x/y=1/tan
So now we have
X=4 Y=10 H=2*sqrt(29)
Now we just use the above identities and plug and chug for your answers. Doing the same one point(4,10)
Sin=10/2*sqrt(29)= (5*sqrt(29))/29
Cos=4/2*sqrt(29)= (2*sqrt(29))/29
Tan=10/4=5/2
Sec=2*sqrt(29)/10= sqrt(29)/5
Csc=2*sqrt(29)/4= 2*sqrt(29)/2
Cot=4/10= 2/5
Now do the same thing as above for all sets of your questions.
Hope this helps!! Any questions please just ask! Thank you so much!
Answer:
Karim
Step-by-step explanation:
1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.
2. Your new fraction should be 40/100 also known as 40%.
3. Compare who's probability is more likely.
4. The answer will be (40%) Karim's.
Answer:
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.
Step-by-step explanation:
Let
x -----> the numbers of hamburgers sold on Thursday
y -----> the numbers of cheeseburgers sold on Thursday
we know that
----> equation A
----> equation B
Substitute the equation B in equation A and solve for x



Find the value of y

therefore
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.