1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vivado [14]
1 year ago
13

The pair of points lies on the same line with the given slope. Find x.

Mathematics
1 answer:
Darya [45]1 year ago
7 0

Answer:

x = 6

Step-by-step explanation:

Find the equation of the line

y = mx + b

Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)

11 = 3(4) +b   Solve for y

11 = 12 + b  Subtract 12 from both sides

-1 = b

y = 3x -1  This is the equation of the line.  Substitute in 17 for y and solve for x

17 = 3x -1  Add 1 to both sides

18 = 3x  Divide both sides by 3

6 = x

You might be interested in
At a pizza shop you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. How ma
BartSMP [9]

Answer: there is 4 options.

Step-by-step explanation:

there is 2 crusts, 2 sauces, and 3 toppings. he doesn't want pepperoni or white sauce so now there is

2 crusts, 1 sauce, and 2 toppings.

2 times 1 times 2 = 4.

6 0
3 years ago
Read 2 more answers
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}=\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

\\ P(z

\\ 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

\\ P(z

\\ P(z

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

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

\\ z_{score}=1.745454

\\ P(z

\\ P(z

\\ 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
3 years ago
WILL MARK BRAINLIEST PLEASE HELP
Serga [27]
It’s the second one, 65.4

V=1
6πd3=1
6·π·53≈ 65.44985in³
7 0
3 years ago
How many times does 3 fit into 87?
Mars2501 [29]

Answer:

29 times

Step-by-step explanation:

We can find this answer by dividing 87 by 3

87/3 = 29

We can prove this by multiplying 29 times 3 which gives us 87

4 0
2 years ago
Read 2 more answers
Shaquira is baking cookies to put in packages for a fundraiser. Shakira has made 86 chocolate chip cookies and 42 sugar cookies.
In-s [12.5K]

Answer:

  2

Step-by-step explanation:

The only common factor of the given numbers is 2.

Shaquira can make 2 packages, each containing 43 chocolate chip cookies and 21 sugar cookies.

3 0
3 years ago
Other questions:
  • What statement regarding the diagram is true?
    10·1 answer
  • How do you calculate viewing area
    10·1 answer
  • What is 93•10•10•10•10•10•10•10
    12·2 answers
  • ​f(x)equals9 x minus 9
    5·2 answers
  • 20 Points + Brainliest for the answer and Explanation!!!
    6·1 answer
  • What is the vertical asymptote of the graph shown below?
    8·1 answer
  • HELP PLEASE I CAN'T SOLVE THIS ​
    11·1 answer
  • Find the length of the hypotenuse in the triangle
    5·1 answer
  • Josiah had 48 slices of pie to share each of Josiah pies was cut into 8 slices how many pies did he have explain how you solved
    11·2 answers
  • Please help . I need it fast . Will give branliest .
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!