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
White raven [17]
3 years ago
12

Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpet's King's installation price $50 but th

e store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
At 10 square yards, both of the prices would be at $180
You might be interested in
A car travels 65 km in 1 hour. what is its average speed in meters per second?
deff fn [24]
<span>Its speed is 18.05 m/s</span>
7 0
4 years ago
Construct a right triangle whose perimeter is equal to 10cm and one acute angle is 60°
jok3333 [9.3K]
How can we help you with this?
5 0
3 years ago
Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit
ikadub [295]

The square (call it S) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is \vec n=\vec\imath-\vec k, which is enough information to figure out the equation of the plane containing S:

(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x

We can parameterize this surface by

\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k

for 0\le x\le\frac3{\sqrt2} and 0\le y\le3. Then the flux of \vec F, assumed to be

\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k,

is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy

=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy

=\displaystyle\int_0^3\int_0^{3/\sqrt2}4\,\mathrm dx\,\mathrm dy=\boxed{18\sqrt2}

3 0
3 years ago
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
Mariana [72]

Answer:

Step-by-step explanation:

Hello!

X: the lifespan of a new computer monitor of Glotech.

The average life is μ= 85 months and the variance δ²= 64

And a sample of 122 monitors was taken.

You need to calculate the probability that the sample mean is greater than 86.6 months.

Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)

To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)

P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)

1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355

The probability of the sample mean is greater than 0.013355

I hope this helps!

7 0
3 years ago
Ginger's baby weighed only 3 3/8 pounds when it was born. The doctor said it could not leave the hospital until it weighed 5 1/2
Elanso [62]
<span>To subtract 3 3/8 from 5 1/2,
by turning into fractions
</span><span>[(5x2)+1]/2 = 11/2
</span><span>[(3x8)+3]/8 = 27/8
</span><span> 11/2 - 27/8
</span>To subtract fractions, your denominator needs to have the same number. so multiply it by 4
 44/8 - 27/8 = (44-27)/8 = 17/8.
17 / 8 pounds or 2 and 1/8 because 17 / 8 = 2 remainder 1. 
<span>In terms of weight that is 2.125 pounds.</span>
4 0
3 years ago
Other questions:
  • I'm giving 50 points and brainliest answer to whoever can answer this... Please show your work so I can try to understand it xD
    15·2 answers
  • Pls help me if u do i will give u the best answer (well of course)
    8·2 answers
  • Which of the following three vectors has the greatest magnitude: v + (−w), w − v, or
    13·1 answer
  • -8×+y=-5 what is the ordered pair​
    7·1 answer
  • What is the value of x?
    12·2 answers
  • Y=-7X-14<br> 1. What is the y-intercept of the graph of the given function? How do you know?
    12·1 answer
  • Help please I’ll give brainliest
    6·2 answers
  • Kaylee introduced Khalil as the son of the daughter of the father of her uncle. How are Kaylee and Khalil related
    8·1 answer
  • A. Mr. Gordon works with Ms. Patel from the Example. Mr. Gordon writes the expression 3x + 4x to represent the cost of ordering
    10·1 answer
  • A box-and-whisker plot. The number line goes from 10 to 65. The whiskers range from 15 to 60, and the box ranges from 40 to 50.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!