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3 years ago

A= 1/2(A+B) solve for B

Mathematics

2 answers:

Marrrta [24]3 years ago

5 0

Solve for B by simplifying both sides of the equation, then isolating the variable. So in this case B=A....

Lynna [10]3 years ago

4 0

A = 1/2 (A + B)

distribute the 1/2 into the parentheses

A = 1/2A + 1/2B

Subtract 1/2A from each side

A - 1/2A = 1/2B

Combine like terms

1/2A = 1/2B

Isolate B by dividing each side by 1/2

1/2A ×2/1 = B

Multiply

2/2A = B

A = B

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A rental car company charges $42.72 per day to rent a car and $0.10 for every mile driven. Zoey wants to rent a car, knowing tha

Colt1911 [192]

Answer:

7 Days

Step-by-step explanation:

Miles cost:

$0.10 * 200 = $20

Daily Cost

Her budget at this point is $330 because $350 - $20 (the miles)

$330 / 42.72 = Roughly 7.72

Therefore Zoey can drive for 7 days before her budget runs out.

6 0

3 years ago

The average depth of the ocean is about

Dafna1 [17]

The height, in meters, of the tallest tower on the Incheon Bridge is 230.5 meters

From the question,

The average depth of the ocean is about 3688 meters.

Also,

To reach this depth, one would have to stack the tallest tower of the Incheon Bridge in South Korea 16 times.

Now, to determine the height, in meters, of the tallest tower on the Incheon Bridge,

We will divide the average depth of the ocean by 16

That is,

The height of the tallest tower on the Incheon Bridge = 3688 m ÷ 16

∴ The height of the tallest tower on the Incheon Bridge = 230.5 meters

Hence, the height, in meters, of the tallest tower on the Incheon Bridge is 230.5 meters

Learn more here: brainly.com/question/3029763

6 0

3 years ago

Jacob drove 8 miles east and then 15 miles north. how far is he from his starting point

Ilya [14]

Answer:

he is 23 miles northeast from this starting spot

Step-by-step explanation:

ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position

8 0

3 years ago

New York City is the most expensive city in the United States for lodging. The room rate is $204 per night (USA Today, April 30,

Sever21 [200]

Answer:

a. 0.35197 or 35.20%; b. 0.1230 or 12.30%; c. 0.48784 or 48.78%; d. $250.20 or more.

Step-by-step explanation:

In general, we can solve this question using the <em>standard normal distribution</em>, whose values are valid for any <em>normally distributed data</em>, provided that they are previously transformed to <em>z-scores</em>. After having these z-scores, we can consult the table to finally obtain the probability associated with that value. Likewise, for a given probability, we can find, using the same table, the z-score associated to solve the value <em>x</em> of the equation for the formula of z-scores.

We know that the room rates are <em>normally distributed</em> with a <em>population mean</em> and a <em>population standard deviation</em> of (according to the cited source in the question):

$\\ \mu = \$204$ <em>(population mean)</em>

$\\ \sigma = \$55$ <em>(population standard deviation)</em>

A <em>z-score</em> is the needed value to consult the <em>standard normal table. </em>It is a transformation of the data so that we can consult this standard normal table to obtain the probabilities associated. The standard normal table has a mean of 0 and a standard deviation of 1.

$\\ z_{score}=\frac{x-\mu}{\sigma}$

After having all this information, we can proceed as follows:

<h3>What is the probability that a hotel room costs $225 or more per night? </h3>

1. We need to calculate the z-score associated with x = $225.

$\\ z_{score}=\frac{225-204}{55}$

$\\ z_{score}=0.381818$

$\\ z_{score}=0.38$

We rounded the value to two decimals since the <em>cumulative standard normal table </em>(values for cumulative probabilities from negative infinity to the value x) to consult only have until two decimals for z values.

Then

2. For a z = 0.38, the corresponding probability is P(z<0.38) = 0.64803. But the question is asking for values greater than this value, then:

$\\ P(z>038) = 1 - P(z$ (that is, the complement of the area)

$\\ P(z>038) = 1 - 0.64803$

$\\ P(z>038) = 0.35197$

So, the probability that a hotel room costs $225 or more per night is P(x>$225) = 0.35197 or 35.20%, approximately.

<h3>What is the probability that a hotel room costs less than $140 per night?</h3>

We follow a similar procedure as before, so:

$\\ z_{score}=\frac{x-\mu}{\sigma}$

$\\ z_{score}=\frac{140-204}{55}$

$\\ z_{score}= -1.163636 \approx -1.16$

This value is below the mean (it has a negative sign). The standard normal tables does not have these values. However, we can find them subtracting the value of the probability obtained for z = 1.16 from 1, since the symmetry for normal distribution permits it. Then, the probability associated with z = -1.16 is:

$\\ P(z$

Then, the probability that a hotel room costs less than $140 per night is P(x<$140) = 0.1230 or 12.30%.

<h3>What is the probability that a hotel room costs between $200 and $300 per night?</h3>

$\\ z_{score}=\frac{x-\mu}{\sigma}$

<em>The z-score and probability for x = $200:</em>

$\\ z_{score}=\frac{200-204}{55}$

$\\ z_{score}= -0.072727 \approx -0.07$

$\\ P(z$

<em>The z-score and probability for x = $300:</em>

$\\ z_{score}=\frac{300-204}{55}$

$\\ z_{score}=1.745454$

$\\ P(z$

Then, the probability that a hotel room costs between $200 and $300 per night is 0.48784 or 48.78%.

<h3>What is the cost of the most expensive 20% of hotel rooms in New York City?</h3>

A way to solve this is as follows: we need to consult, using the cumulative standard normal table, the value for z such as the probability is 80%. This value is, approximately, z = 0.84. Then, solving the next equation for <em>x:</em>

$\\ z_{score}=\frac{x-\mu}{\sigma}$

$\\ 0.84=\frac{x-204}{55}$

$\\ 0.84*55=x-204$

$\\ 0.84*55 + 204 =x$

$\\ x = 250.2$

That is, the cost of the most expensive 20% of hotel rooms in New York City are of $250.20 or more.

6 0

4 years ago

Can someone pls help me with this

xxMikexx [17]

Answer:

Step-by-step explanation:

If you graphed it out you would see that the rise/run would be 4 over 1 which is also 4. On this table, you can see that the x is going up by 2 and the y is going up by 8 and 8/2 is also the same as 4/1 or 4 (rise/run = y/x).

8 0

3 years ago