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astraxan [27]
3 years ago
10

Sam is on the swim team. Each week he swims a total of

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
Ok so there are 1000 meters in a kilogram right so 
9000 meters= 9 kilograms
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Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

8 0
3 years ago
Solve (x + 5)2 = 48.
natita [175]

Answer:

x = -5  ±4sqrt(3)

Step-by-step explanation:

(x + 5)^2 = 48

Take the square root of each side

sqrt((x + 5)^2) = ±sqrt(48)

x+5 = ±sqrt(16*3)

x+5 = ±4sqrt(3)

Subtract 5 from each side

x = -5  ±4sqrt(3)

7 0
3 years ago
9. What is the degree of the polynomial (x - 1)(x + 2)(2x - 3)?
Mrrafil [7]

Answer:

coefficient of the term of degree 4 in this polynomial is 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Express the equation y=2/3x-6 in a standard format
grin007 [14]
Y = 2/3x - 6
-2/3x + y = -6...multiply everything by -3
2x - 3y = 18 <== standard form
3 0
3 years ago
In statistics, what term means "a numerical range around a sample mean accompanied with a statement of how confident one is that
Alex Ar [27]

Answer:

Confidence Interval for the mean

Step-by-step explanation:

Confidence interval is made using the observations of a <em>sample</em> of data obtained from a population, so it is constructed in such a way, that, with a certain <em>level of confidence </em>(this is the statement mentioned in the question), that is, one could have a percentage of probability that the interval, or range around the value obtained, frequently 95%, contains the true value of a population parameter (in this case, the population mean).  

It is one way to extract information from a population using a sample of it. This kind of information is what inference statistic is always looking for.

An <u>approximation</u> about how to construct this interval or range:

  1. Select a random sample.
  2. For the specific case of a <em>mean</em>, you need to calculate the mean of the <em>sample </em>(sample mean), and, if standard deviation is unknown or not mentioned, also calculate the sample standard deviation.
  3. With this information, and acknowledged that these values follows a standard normal distribution (a normal distribution with mean 0 and a standard deviation of 1), represented by random variable Z, one can use all this information to calculate a <em>confidence interval for the mean</em>, with a certain confidence previously choosen (for example, 95%), that the population mean must be in this interval or <em>range around this sample mean.</em>

3 0
2 years ago
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