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Tpy6a [65]
2 years ago
11

In this problem, the ratios are inversely proportional. Find the missing value. If R1 = 6, R2 = 8, and I1 = 12, what is the valu

e of I2?
Mathematics
1 answer:
Drupady [299]2 years ago
5 0

Answer:

I_2=9

Step-by-step explanation:

We have been told that the ratios are inversely proportional in our given problem. We are asked to find the missing value.

We know that two inversely proportional quantities are in form y=\frac{k}{x}, where, y is inversely proportional to x and k is the constant of proportionality.

Let us find constant of proportionality using R_1 = 6 and I_1 = 12 in above equation.

6=\frac{k}{12}

6*12=\frac{k}{12}*12

72=k

Now, we will use 72=k and R_2 = 8 in our equation to find I_2 as:

8=\frac{72}{I_2}

I_2=\frac{72}{8}

I_2=9

Therefore, the value of I_2 is 9.

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Answer:

As per the statement:

Let  Event A represents the probability that a vehicle is white and Event B  represents the probability that it is a pick up truck .

then;

P(A) = 0.25 and P(B) = 0.15

It is also given that:

The Probability that it is a white pick up truck is 0.06.

⇒P(A \cap B) = 0.06 where A \cap B represents that it is white pick up truck.

We have to find the the probability that the vehicle is white {given that the vehicle is a pickup truck}

We use the formula:

P(A/B) = \frac{P(A \cap B)}{P(B)}

where

A/B represents that the pick up truck vehicle is white.

Substitute the given values we get;

P(A/B) = \frac{0.06}{0.15} = 0.4

Therefore,  the probability that the vehicle is white, given that the vehicle is a pickup truck is 0.4

7 0
2 years ago
The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

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600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0
2 years ago
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The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a ca
dem82 [27]

Answer:

\frac{4}{663}

Step-by-step explanation:

Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.

A - the first card is 4

B - second card is ace

We have to find probability for

A\bigcap B

P(A) = no of 4s in the deck/total cards = \frac{4}{52} =\frac{1}{13}

After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it

P(B) = no of Aces in 51 cards/51 = \frac{4}{51}

Hence

P(A\bigcap B) = \frac{1}{13} *\frac{4}{51} \\=\frac{4}{663}

(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)

8 0
2 years ago
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What is the balance on an amortized loan of $110,000 after the first payment if the interest rate is 5.5% with a monthly P&I
marishachu [46]
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
.. I = 504.17

Then the decrease in principal resulting from the first payment is
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and the new balance is
.. $110,000.00 -63.83 = $109,936.17
4 0
2 years ago
Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the
antiseptic1488 [7]

Answer:

  A:  -2

Step-by-step explanation:

You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.

6 0
2 years ago
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