Need answer asap The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.

According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 8 EndFraction
One-fourth
One-half

Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.

What is collateral?

Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.

Lenders sell collaterals when the borrowers fail to comply with their loan terms.

How is the additional collateral determined?

Car's value = $3,500

Collateral value in percentage = 80%

Car's collateral value = $2,800 ($3,500 x 80%)

Planned cost of vacation = $4,750

Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)

Additional collateral value to meet target = $2,437.50 ($1,950/80%)

Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)

80% of $5,937.50 = $4,750

Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:

Planned cost of vacation = $4,750

Collateral value in percentage = 80%

Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)

Car's collateral value = $3,500

Additional collateral value = $2,437.50 ($5,937.50 - $3,500)

Thus, Tom needs additional collateral of C. $2,437.50.

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Final Answer: 5a

Explanation:

Sure! Let's simplify this step by step.

Given \sqrt{25a^2}

Step 1: Recognize that the given expression \sqrt{25a^2} represents the square root of 25 times the square of 'a'.

Step 2: Break down the expression into two parts. We have a perfect square (25) and a square term (a^2). We can separate these inside the root as follows:

\sqrt{25} * \sqrt{a^2}

Step 3: Simplify \sqrt{25}. Since 25 is a perfect square, its square root is 5. Also, simplify  \sqrt{a^2}. The square root of a^2 is 'a'.  Now, we have:

5 * a

Therefore, the simplified form of \sqrt{25a^2} is 5a.

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Answer:

Step-by-step explanation:

Sqrt(25a^2)

Sqrt((5a)^2)

5a

Answer:

3gallons (gal) = 11.35 liters

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each gallon has 3.78L. So

1 gallon - 3.78L

3 gallons - xL

liters

3gallons (gal) = 11.35 liters

3x-10=2(x+6)

3x-10=2x+12

subtract 2x (to cancel it out and combine like terms)

[3x-2x=x]

x-10=12

add 10

[12+10=22]

x=22

Answer:

52.5°

Step-by-step explanation:

Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

To Find : The measure of ∠WXZ is ?

Solution:

∠WXY = 105°

The ray XZ is the angle bisector of ∠WXY

This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

So, ∠WXY = ∠WXZ + ∠ZXY

∠WXY = 2∠WXZ

Hence The measure of ∠WXZ is 52.5°

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = = 52.5°