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lakkis [162]
3 years ago
5

The state’s Gaming Control Board does random inspections of casino games. An inspector observed 40 spins of the roulette wheel i

n a certain casino, and she recorded whether the result was a red number ("r") or a black number ("b"). (Assume that none of these results was a "0" or "00," which are green numbers.) Her observations are given below (the first row has the first 20 observations, and the second row has the next 20 observations). At the 0.05 significance level, test the claim that the red and black numbers occur in a random order. b r r b b r b r b r b r r b r b b b b b r r r r r r b r r r b r b r r r b r b b Identify the value of the TEST STATISTIC used in the hypothesis test of this claim.
Mathematics
1 answer:
solniwko [45]3 years ago
7 0
Ddffdzszksjndbdbd xbsns
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A bacteria culture contains 100 cells and grows at a rate proportional to its size. After one hour the population has increased
xenn [34]
We know it begins at 100. If we use a*b^t, then 100 is our a. 100*b^t. We can now divide 480 by 100. This is 4.8. 4.8 is b. f(t) = 100(4.8)^t
7 0
2 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
How do you solve this kind of problem?
Y_Kistochka [10]
I hope this helps you

3 0
2 years ago
Read 2 more answers
Choose the constant term that completes perfect square trinomial <br> y^2+0.1y
Levart [38]
If this is correct the answer would be
y^2 + 0.1y + 0.0025
3 0
3 years ago
Alexander says that 3x + 4y is equivalent to (3)(4) + xy because of any order, any grouping. Is he correct why or why not
snow_lady [41]

Answer:

Alexander is incorrect because the expressions are not equivalent.

Step-by-step explanation:

If the expression is evaluated for any value of x, y; the result will not be same.

For instance, let assume x = 1 and y = 2

3x + 4y = 3 + 4 = 7

(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14

So, the expressions are not the same and Alexander is incorrect.

3 0
3 years ago
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