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DIA [1.3K]
3 years ago
12

Suppose a new cancer treatment was given to a sample of 300 patients. The treatment was successful for 210 of the patients. Assu

me that these patients are representative of the population for whom the treatment would be successful, including a margin error.
​

Mathematics
2 answers:
Bingel [31]3 years ago
8 0

Answer:

a. 70% ± 5.3%

Step-by-step explanation:

The proportion is:

p = 210 / 300 = 0.7

The margin of error is:

ME = z √(p (1 − p) / n)

where z is the critical value, p is the proportion, and n is the sample size.

For a 95% confidence interval, z ≈ 2.

ME = 2 √(0.7 (1 − 0.7) / 300)

ME = 0.053

So the proportion is 70% ± 5.3%.

Stells [14]3 years ago
8 0

Answer:

a. 70% ± 5.3%

Step-by-step explanation:

Supposing a new cancer treatment was given to a sample of 300 patients and the treatment was successful for 210 of the patients. These patients are representative of the population for whom the treatment would be successful, including a margin error. Therefore, the answer is 70% ± 5.3%.

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3 years ago
Please help. Thank you​
love history [14]

Answer:

The length of side x is x = \sqrt{6}

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle, with sides a and b, and hypothenuse h, we have that:

a^2 + b^2 = h^2

In this question:

The vertical line on the sides means that both are equal, that is, measuring x, so a = b = x.

Hypothenuse is the square root of 12. So h = \sqrt{12}

x^2 + x^2 = (\sqrt{12})^2

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x^2 = \frac{12}{2}

x^2 = 6

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The length of side x is x = \sqrt{6}

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2 years ago
HELPPPPPPPP I NEED THE ANSWER PLZZZZZZZZZZZ!!!!!!!!!!! the solutions plz
Vesnalui [34]

Answer:

  1. c = -4.5
  2. z = 20
  3. x = -12
  4. a = -4/7

Step-by-step explanation:

A way to do this that will always work is ...

  • eliminate parenthses and collect terms
  • subtract any constants from the left side
  • subtract any variable terms from the right side
  • divide by the coefficient of the variable

1.

  • 8c -11 -6c = -2
  • 2c -11 = -2
  • 2c = 9
  • c = 4.5

2.

  • 3z +4 -2z -9 = 15
  • z -5 = 15
  • z = 20

3.

  • 12 -4x +18 = 36 +4x +18 -6x
  • 30 -4x = 54 -2x
  • -4x = 24 -2x
  • -2x = 24
  • x = -12

4.

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6 0
3 years ago
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

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