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Natalka [10]
3 years ago
15

A certain cancer treatment successfully treats the cancer 70% each time it is administered. My mom survived for 8 months using t

he treatment. What is the probability that the treatment was successful 8 months in a row? Round your final answer to the nearest tenth of a percent.
Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

5.80%

Step-by-step explanation:

Given:

The probability of successful treatment of cancer is, P(Success)=70\%=0.7

The probability of successful treatment in a given month is independent of the other month. So, probability of successful treatment for 'n' months in a row is given as:

P(n-Successes)=(P(Success))^n

Plug in 8 for 'n' and determine the required probability. This gives,

P(8-successes)=(0.7)^8=0.0576=5.76\%\approx5.80\%

Therefore, the probability that the treatment was successful 8 months in a row is 5.80% rounded to nearest tenth of a percent.

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Umnica [9.8K]

Answer: 1.66666666667

5 0
2 years ago
Find the 7th term of the sequence
NikAS [45]

Answer:

3rd option, 4096

Step-by-step explanation:

4⁰ = 1, 1st term

4¹ = 4, 2nd term

4² = 16, 3rd term

.

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4⁶ = 4096, 7th term

Answered by GAUTHMATH

8 0
3 years ago
One morning the temperature is -28 degrees in Anchorage, Alaska, and +65 degrees in Miami, Florida. Which city is warmer in the
Alecsey [184]

Answer:

B. Miami is 93 degrees warmer than Anchorage.

Step-by-step explanation:

Miami-Anchorage is equal to 65-(-28) which is equal to 65+28 which is equal to 93. Thus, Miami is warmer by 93 degrees.

3 0
3 years ago
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
3 years ago
The radius of a circle is 2 meters. What is the area?
Andrej [43]

Answer:

12.57m²

(please give brainliest)

8 0
3 years ago
Read 2 more answers
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