Which events have a probability of 25 percent? Select three options.choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans
rolling a number less than 3 on a six-sided die
spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4
choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters
choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Using continuity concepts, it is found that the function is left-continuous at x = 1.

-------------------------------

A function f(x) is said to be continuous at x = a if:

• If only , the function is left-continuous.

• If only , the function is right-continuous.

-------------------------------

The piece-wise definition of the function is:

We have to check the continuity at the points in which the definitions change, that is, x = 0 and x = 1.

-------------------------------

At x = 0:

• The definition at 0 is
• Approaching x = 0 from the left, we have values less than 0, thus:

• Approaching x = 0 from the right, we have values greater than 0, thus:

Since the limits are equal, and also equal to the definition at the point, the function is continuous at x = 0.

-------------------------------

At x = 1:

• The definition at 1 is

• Approaching x = 1 from the left, we have values less than 1, thus:

• Approaching x = 1 from the right, we have values greater than 1, thus:

To the right, the limit is different, thus, the function is only left continuous at x = 1.

A similar problem is given at brainly.com/question/21447009

Answer:

the function is continuous from the left at x=1 and continuous from the right at x=0

Step-by-step explanation:

a function is continuous from the right , when

when x→a⁺ lim f(x)=f(a)

and from the left when

when x→a⁻ lim f(x)=f(a)

then since the functions presented are continuous , we have to look for discontinuities only when the functions change

for x=0

when x→0⁺ lim f(x)=lim  e^x = e^0 = 1

when x→0⁻ lim f(x)=lim  (x+4) = (0+4) = 4

then since f(0) = e^0=1 , the function is continuous from the right at x=0

for x=1

when x→1⁺ lim f(x)=lim  (8-x) = (8-0) = 8

when x→1⁻ lim f(x)=lim e^x = e^1 = e

then since f(1) = e^1=e , the function is continuous from the left at x=1

Answer:

Part 1= Pi * R Squared

Part 2: 50.27

Part 3: 78.54

Part 4: 28.27

Step-by-step explanation:

Part 1: Memorize the formula

Part 2: 8 feet diameter = Pi * 4 squared. 8 feet is the diameter so the radius is 4. 4 squared is 16. 16 * pi = approximately 50.27, but is 50.24 if 3.14 is used as pi.

Part 3: Pi * 5 squared since 10 is diameter. 25 * pi which is close to 78.54, but is 78.5 is 3.14 is used for pi.

Part 4: I subtracted Part 3 from Part 2.

Answer:

Th best thing would be 35% off or the blue coupon

Step-by-step explanation:

Well we can solve the orange coupon first which would be 540.37 for the final price

the blue coupon is 35 percent off or we can just multiply 815.37 by 0.65 becuase since its “off” you would only have to pay 65 percent of the item which is why I’m multiplying by 0.65. You would end up with something like 529 something which is less than 540.37

The blue coupon would be best

Also why not use both of them?

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

Final answer:

To find the pounds of chocolate and sugar candies the owner should use, set up and solve equations based on the given information.

Explanation:

Let's assume that the owner uses x pounds of chocolate candies and y pounds of sugar candies.

According to the problem, the total weight of the candies should be 15 pounds.

So, we can set up the equation:

1. x + y = 15

The owner wants to sell the candies for $5.00 per pound. We can set up another equation to represent the total value of the candies:

1. 7x + 2y = 5 * 15

Now we can solve these equations to find the values of x and y.
By solving the equations, we find that x = 9 and y = 6.

Therefore, the owner should use 9 pounds of chocolate candies and 6 pounds of sugar candies.