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matrenka [14]
2 years ago
10

Describe the error in the work shown.

Mathematics
1 answer:
QveST [7]2 years ago
6 0

Answer:

should be xy^4/4

Step-by-step explanation:

next to the last step (x^3(y^3)^4)^1/3

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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
What is the value of x that makes l1||12?<br> A. 11.3<br> B. 14<br> C. 22<br> D. 10
Mice21 [21]

Answer:

(8x - 14)  + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x =  \frac{140}{10}  \\ x = 14

4 0
3 years ago
Multiply (8 + 3i)(3 + 5i)
svetoff [14.1K]
12+49i
when you get i^2 it's the same as multiplying by -1 so 
factoring it out will turn out like this
15i^2+40i+9i+27
instead of 15 i^2 multiply 15 x-1
-15+49i+27
12+49i
6 0
3 years ago
Read 2 more answers
What is the value of the expression? 6 • 2³ -(4² + 7)
atroni [7]

Answer:

25

Step-by-step explanation:

pemdas

parentheses- 4 to the 2nd power is 16, 16 + 7 is 23.

exponents- 2 to the 3rd power is 8.

multiplication- 6 x 8 is 48

so then its easy from there. its 48 minus 23, which equals 25

3 0
2 years ago
**************find x
slavikrds [6]

Answer:

x = 6

Step-by-step explanation:

2/(x-2) = 5/(4+x) - set up the ratios of similar sides

2(4 + x) = 5(x - 2) - cross multiply to solve

8 + 2x = 5x - 10   - simplify

18 = 3x                 - simplify to get x on one side of the equation

6 = x                    - divide both sides of the equation by 3 to isolate x

6 0
3 years ago
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