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
Andrej [43]
3 years ago
5

Help solve this problem

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0

Answer:

x = -7

Step-by-step explanation:

(x + 14) + (x + 12) = 12

Combine like terms

2x + 26 = 12

Subtract 26 from both sides

2x = -14

Divide both sides by 2

x = -7

Ne4ueva [31]3 years ago
3 0

Answer:

Step-by-step explanation:

PQ +QR = PR

x + 14 + x + 12 = 12

Combine like terms

x + x + 14 + 12 = 12

        2x + 26 = 12

Subtract 26 from both sides

               2x = 12 - 26

               2x = -14

Divide both side by 2

                 x = -14/2 =

x = -7

You might be interested in
Two rays that have a common endpoint and form a line
RoseWind [281]

Answer:      Overview. An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.

Step-by-step explanation:    just have done with before! i am really good at it

8 0
3 years ago
.16 divided by .03220 round to the nearest tenth
vredina [299]

Answer:

Aosvsixixbs ss

Step-by-step explanation:

Hsbsisbdncofnsvzjzpzxkd9fnjd9dbdbdbd9sbd9ddbdjbdbd9sbs0ssnsidbx9sgzysvs8dvztdgz4sgaz1xhdgshs2zts3sts4wys5dhs6dud7rjd8rjr9rpeebeha1afa2sda3sfs4sgs5dgs6dhd7fhf8fjf9dhf10

6 0
3 years ago
Read 2 more answers
A gravel path is to be built around an 18‘ x 15‘ rectangle garden if the width remains constant how why can the path be if there
Ilia_Sergeevich [38]

Answer:

P = 2*(18 + 13) = 62ft

Now to figure out the width of the path we have to do some geometry. There are 3 basic shapes we will use for the path, they are the 13 ft long rectangle, the 18 ft long rectangle, and the squares formed at the corners. These squares' areas are equal to the width squared, whereas the rectangles are only equal to the length times the width. Our total area then becomes:

A = 2*(13*w) + 2*(18*w) + 4*(w*w)

A = 4w^2 + 62w

And since we know the available area is 516 ft^2, putting this in for A and solving the quadratic equation we can get the width:

516 = 4w^2 + 62w

0 = 4w^2 + 62w - 516

Using the quadratic formula: (w = -b2+/-SQRT(b^2 - 4ac)/2a, where a = 4, b = 62, and c = -516)

w = 6, -21.5

Since we obviously cannot have a negative width, 6 must be our answer. Therefore the path can be 6 feet wide!

We can check this answer by doing the following. Please note that by having a 6ft wide path you would actually be adding 12 ft to both dimensions, since you add 6 feet of length to both sides. Your total area would then become:

18+(2*6) x 13+(2*6) = 30x25 = 750 ft^2

Subtracting the area of the garden gives you the are of the gravel required:

750ft^2 - (18*13)ft^2 = 516ft^2

Therefore a width of 6 feet is correct.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If one penny, two dimes, and one quarter are added to the bag, what is the new probability that Marissa will draw a nickel? Writ
anastassius [24]

Answer:

As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%

8 0
3 years ago
Read 2 more answers
Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodo
Alinara [238K]

Answer:

a) P(X \leq 4) = 0.6289

P(X < 4) = 0.4335

b) P(4 \leq X \leq 8) = 0.5452

c) P(X \geq 8) = 0.0511

d) 0.2605

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

It is important to know that the variance has the same value as the mean in a Poisson distribution. The standard deviation is the square root of the variance.

In this problem, we have that:

\mu = 4, \sigma = \sqrt{4} = 2.

To help our solution, i am going to find each of P(X = x) from x = 0 to 8[/tex]

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.0183

P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.0733

P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.1465

P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.1954

P(X = 4) = \frac{e^{-4}*4^{4}}{(4)!} = 0.1954

P(X = 5) = \frac{e^{-4}*4^{5}}{(5)!} = 0.1563

P(X = 6) = \frac{e^{-4}*4^{6}}{(6)!} = 0.1042

P(X = 7) = \frac{e^{-4}*4^{7}}{(7)!} = 0.0595

P(X = 8) = \frac{e^{-4}*4^{8}}{(8)!} = 0.0298

(a) Compute both P(X ≤ 4) and P(X < 4)

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0183 + 0.0733 + 0.1465 + 0.1954 + 0.1954 = 0.6289

---------

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0183 + 0.0733 + 0.1465 + 0.1954 = 0.4335

(b) Compute P(4 ≤ X ≤ 8).

P(4 \leq X \leq 8) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.1954 + 0.1563 + 0.1042 + 0.0595 + 0.0298 = 0.5452

(c) Compute P(8 ≤ X)

That is P(X \geq 8).

The sum of the probabilities must be 1 in decimal. Either X is greater or equal to 8, or X is lesser than 8.

So

P(X < 8) + P(X \geq 8) = 1

P(X \geq 8) = 1 - P(X < 8)

From what we have in a) and b)

P(X < 8) = P(X < 4) + P(4 \leq X < 8) = 0.4335 + 0.1954 + 0.1563 + 0.1042 + 0.0595 = 0.9489

So

P(X \geq 8) = 1 - P(X < 8) = 1 - 0.9489 = 0.0511

(d) What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation

One standard deviation is 2, and the mean is 4. So, this is:

P(4 < X \leq 6) = P(X = 5) + P(X = 6) =  0.1563 + 0.1042 = 0.2605

6 0
3 years ago
Other questions:
  • Damon borrowed money from his grandmother 3 years ago and agreed to pay her 4% simple annual interest. At the end of 3 years, he
    10·2 answers
  • At the nearest wholesale store, 3 bags of bulk cereal cost $21.75. At this rate, how much would 5 bags of bulk cereal cost?
    7·2 answers
  • Addison painted her room. She had 505050 square meters to paint, and she painted at a constant rate. After 222 hours of painting
    10·1 answer
  • Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t
    8·1 answer
  • The sum of three consecutive even integers is 486. Find all three integers.​
    6·1 answer
  • Add<br><br> -10 + 5=<br><br> Add. <br><br> -19 + -6
    15·2 answers
  • In the figure wx = wy. find a b c
    6·1 answer
  • Find the solution to the system of equations:<br><br> 7x-8y=-23 <br><br> 7x-7y=-14
    6·1 answer
  • Determined to finish his mocha frappe before daniela,jeremy now drinks his 12-ounce mocha frappe at a rate of 1/3 an ounce per s
    15·1 answer
  • Can anyone help on this??
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!