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Sholpan [36]
3 years ago
7

David says he has 2/3 of a pipe length​ left, while Don says he has 11/16 of a length left. Which person has the longest section

​ left?
Mathematics
1 answer:
Kruka [31]3 years ago
5 0

Answer:

Don

Step-by-step explanation:

1. We make the fractions have common denominators so it is easier to compare them. We can do this buy multiplying 2/3 by a factor of 16, so it becomes 32/48. For 11/16, we multiply by a factor of 3 so it becomes 33/48. It is now apparent that Don has the longer pipe.

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11) Identify the range of this set of ordered pairs: <br><br> {(3,5), (2, 0), (-6, -1), (5, 1)}
Veronika [31]

6

Range is the difference of min and max y values

3 0
3 years ago
Simplify: 39w^5 - 13w^5 ​
Alenkinab [10]

Answer:

hello :

Step-by-step explanation:

39w^5 - 13w^5 ​ = 13w^5 (3 - 1) = 26w^5

5 0
3 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
2 years ago
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the
snow_lady [41]

Answer:

the fewest number is 5,6,7

Step-by-step explanation:

hope it helps

7 0
1 year ago
Solve y′′=sin(x) if y(0)=0 and y′(0)=5.<br><br> y(x)=?
Ksenya-84 [330]

Answer:

y(x)=6x-sin(x)

Step-by-step explanation:

Rewrite the differential equation as:

\frac{d^{2} y }{dx^{2} } =sin(x)

Integrate both sides with respect to x:

\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx

\frac{dy}{dx} =-cos(x)+C_1

Integrate one more time both sides with respect to x:

\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx

y(x)=-sin(x)+C_1x+C_2

Now that we find the solution, let's find its derivate:

y'(x)=C_1-cos(x)

Evaluating the initial conditions:

y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0

y'(0)=C_1-cos(0)=5\\C_1=5+1=6

Replacing the value of the constants that we found in the differential equation solution:

y(x)=6x-sin(x)

6 0
3 years ago
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