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sesenic [268]
2 years ago
7

The center of a circle is at the onigin on a coordinate grd. The vertex of a parabola that opens upward is at (0, 9). If the

Mathematics
1 answer:
kenny6666 [7]2 years ago
4 0
I think it’s the maximum number of solutions is one
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Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened
Aleksandr [31]

Answer:

92087,14873

Step-by-step explanation:

Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened  in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by  5% each year after that

Let P0 be the population in 1990

Then we have in 2000 the population is

P(2000) = P_0(1.2)^{10}

with this initial population for next growth we have in 2010 the population would be

P(1.05)^{10}, where P = population is 2000

a) Given that P(1.05)^{10) = 150000\\P = 150000(1.05)^{-10} =92.086.99\\=92087

b) we use the exponential equation and solve for initial population in 2000.

c) we have

P_0(1.2)^{10} =92087\\P_0 = 92087((1.2)^{-10})\\=14872.56\\=14873

6 0
3 years ago
Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?
Kaylis [27]

Answer:

616/14=44 pages

Step-by-step explanation:

7 0
2 years ago
Evaluate 3^-1 times (4 times 6) times 2^-3
Sergio [31]

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

4 0
3 years ago
Read 2 more answers
e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 f
inessss [21]

Answer:

It will equal 0

7 0
2 years ago
Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
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