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
iren [92.7K]
3 years ago
7

Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kil

ometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?​
Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Let <em>s</em> be the plane's speed in still air and <em>w</em> the wind speed. Then

<em>s</em> - <em>w</em> = (6060 km)/(6 h) = 1010 km/h

<em>s</em> + <em>w</em> = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates <em>w</em> and lets you solve for <em>s</em> :

(<em>s</em> - <em>w</em>) + (<em>s</em> + <em>w</em>) = 1010 km/h + 1350 km/h

2<em>s</em> = 2360 km/h

<em>s</em> = 1180 km/h

You might be interested in
A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
For better clarification I guess
marissa [1.9K]

Answer:

1.) =\frac{\sqrt{3}}{3}

2.) 42\sqrt{30}

Step-by-step explanation:

1.) \mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}

2.) \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}

\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}

6 0
3 years ago
In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This
Leto [7]

Answer:

135 degrees

Step-by-step explanation:

135 degrees form the interior angle of a regular octagon

5 0
2 years ago
Read 2 more answers
How to find the volume of a composite solid
nata0808 [166]

Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

7 0
3 years ago
PLEASE HELP!!!!!!
quester [9]

B

First you have to change 2 1/2 into 5/2

To multiply fractions use the method
Keep Change Flip

5/2 x 3/1 =15/2

Which simplifies to 7 1/2
6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help its for Advanced Algebra
    6·1 answer
  • Melinda has $22 and plans to save $10 each week. George has $10 and plans to save $13 each week.
    6·2 answers
  • Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.
    5·1 answer
  • Use a proportion with sides AB and RS to find the scale factor of ABD to RST.
    6·1 answer
  • Which equation is NOT an identity?
    8·1 answer
  • Solve the literal equation:<br> Z = 4x/Y^2 + 3W for X
    10·2 answers
  • The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 1
    12·1 answer
  • If k(x) = 5x - 6, which expression is equivalent to (k+ k)(4)?
    12·1 answer
  • Functions A, B, and C are linear functions.
    6·1 answer
  • Katahdin is the highest Mountain in Main. What is its Elevation?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!