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8090 [49]
3 years ago
5

A new surgery is successful 75% of the time. if the results of 10 such surgeries are randomly sampled, what is the probability t

hat fewer than 9 of them are successful
Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
\text{Binomial Distribution: } P(X = r) = \binom{n}{r}(p)^{r}(1 - p)^{n - r}
P(X < 9) = 1 - P(X = 9) - P(x = 10)

P(X = 9) = \binom{10}{9}(0.75)^{9}(0.25)
P(X = 10) = \binom{10}{10}(0.75)^{10}

P(X < 9) = 1 - \binom{10}{9}(0.75)^{9}(0.25) - \binom{10}{10}(0.75)^{10}
\approx 0.755974769...
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Identify the sampling designs that use voluntary response sampling. Check all that apply.
Marta_Voda [28]

Step-by-step explanation:  

A voluntary response sample is defined as a type of sample made up of self-chosen participants. These participants volunteer to take part in different research studies to share their opinions on topics that interest them. A voluntary response sample is made up of persons who volunteer to take research surveys.

3 0
2 years ago
Read 2 more answers
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after
Vlad [161]
Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

A = A_ob^t
3600 = 3000b^4

Now we solve for b
3600 = 3000b^4
\frac{3600}{3000} = \frac{3000b^{4}}{3000}
\frac{6}{5} = b^4
\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}
\sqrt[4]{\frac{6}{5}} = b

Now that we have found b, we can use the equation A = 3000b^t to predict how many bacteria will be present after 10 hours.
b = \sqrt[4]{\frac{6}{5}}
t = 10
A = 3000b^t
A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732

Answer = 4732



4 0
3 years ago
What is the product?<br><br> (5r − 4)(r2 − 6r + 4)
maxonik [38]

Answer:

1r

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

1r

7 0
1 year ago
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Phoenix [80]

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

5 0
3 years ago
PLZ HELP GIVING CORRECT ANSWER THE BRAINLIEST!!
beks73 [17]

Answer:

About 20.8

Step-by-step explanation:

form a triangle using each line

3 0
3 years ago
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