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
Masteriza [31]
3 years ago
15

arc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that o

ne tire completed 388 full rotations between the time he left his house and the time he arrived at work. Rounded to the nearest inch, how far did Marc bike between his house and work? 10,088 in. 15,846 in. 31,692 in. 63,385 in.
Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Answer:

31,692 inches

Step-by-step explanation:

The length that Marc travelled with his bike can be calculated by the product between the number of rotations of the tire and the circunference of the tire.

So, calculating the circunference of the tire, we have:

C = pi*diameter = pi*26 = 81.68 inches

If in each rotation of the tire, the length travelled is 81.68, the total length travelled is:

Length = number of rotations * C = 388 * 81.68 = 31,691.84 inches

Rounding to the nearest inch, we have Length = 31,692 inches

You might be interested in
What is the solution set
Free_Kalibri [48]

We graphically solve f(x)=g(x) by graphing f(x) and g(x) and eyeballing the points where they intersect each other.  

Really none of our choices are the solution set listing all the (x,y) pairs where the two functions meet because none of them is a set.

Anyway we count from the origin five to the right and three up to the meet of the lines, which is the point (5,3), last choice.
6 0
3 years ago
User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e
Whitepunk [10]
\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\
\frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}

The answer is A.
4 0
3 years ago
Help me please ...........
Llana [10]

Answer:

D.

\sqrt{384}

Step-by-step explanation:

\sqrt{384}

\sqrt{192 \times 2}

\sqrt{96 \times 2 \times 2}

2 \sqrt{48 \times 2}

2 \sqrt{24 \times 2 \times 2}

2 \times 2 \sqrt{12 \times 2}

4  \sqrt{6 \times 2 \times 2}

4 \times 2 \sqrt{6}

8 \sqrt{6}

Therefore Option D is correct..!

6 0
3 years ago
Twice the difference of a number and 4 is at least 29
quester [9]
2(x-4) greater than or equal to 29
6 0
3 years ago
Motorola used the normal distribution to determine the probability of defects and the number
vovangra [49]

Answer:

a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4

b.p=0.0026,total defects=2.6

c.Less of the items produced will be classified as defects.

Step-by-step explanation:

a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.

\mu=10,\sigma=0.15\\Therefore:-\\z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.15}\approx-1.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.15}\approx+1.0\\P(x10.15)=P(Z+1.0)\\=2P(Z

Total defects=Production*Probability

                      =0.3174*1000

                       =317.4

b. \mu=10,\sigma=0.05

therefore:-

z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.05}\approx-3.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.05}\approx+3.0\\\\=P(x10.15)=P(Z+3.0)\\=2P(Z

Defects=Probability*Production

            =0.0026*1000

             =2.6

c.Reducing process variation results in a significant reduction in the number of unit defects.

3 0
3 years ago
Other questions:
  • If SLDG is an isosceles trapezoid, what is the value of x?
    14·1 answer
  • Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
    15·1 answer
  • Solve for x<br> ×+7.72=19
    5·1 answer
  • There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpilla
    15·1 answer
  • Que numero elevado al cuadrado mas 12 da como resultado 48?
    9·1 answer
  • What is the ratio of students that own a cell phone to the the students that don't
    13·2 answers
  • You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles a
    9·1 answer
  • Which expression has a quotient of about 7?
    6·1 answer
  • Game Pitches Seen
    15·1 answer
  • Solve for x: 2(5x + 9) = 78
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!