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Delicious77 [7]
2 years ago
9

Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81.  From -81 we obtain the next term, 108, by multiplying -81 by -4/3.  Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

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When converted to a household measurement, 9 kilograms is approximately equal to a
kondaur [170]

Answer:

9 kilograms is = 9000 grams

9 kilograms=317.466 ounces

Step-by-step explanation:

4 0
2 years ago
A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di
Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, \mu = 1.3 cm            and           Standard deviation, \sigma = 0.01 cm

Also, since distribution is normal;

                 Z = \frac{X -\mu}{\sigma} ~ N(0,1)

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

  P(X < 1.33) = P( \frac{X -\mu}{\sigma} < \frac{1.33 -1.3}{0.01} ) = P(Z < 3) = 0.99865

  P(X <= 1.27) = P( \frac{X -\mu}{\sigma} < \frac{1.27 -1.3}{0.01} ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

                                                                                            = 0.00135

 P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0
3 years ago
There are 8 roses in a vase of 13 flowers. The rest are daisies.
Blizzard [7]

Answer:

  1. 5:13
  2. 8:5

Step-by-step explanation:

For first part:

  1. Roses = 8
  2. Daises = All flowers - Roses
  3. Daises = 13 - 8
  4. Daises = 5
  5. Daises:All Flowers = 5:13

For second part:

  1. Roses:Daises = 8:5

I hope this helps!

7 0
2 years ago
Read 2 more answers
The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how
Usimov [2.4K]

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

<h3>What is the worth of the car?</h3>

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

  • FV = Future value
  • P = Present value
  • R = rate of decline
  • N = number of years

$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
There is a fraction that to 9/10. The numerator and the denominator is 57. What is the fraction?
xxTIMURxx [149]
The fraction is 27/30. It is equivalent to 9/10 and 27 + 30 = 57.
8 0
3 years ago
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