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Andre45 [30]
4 years ago
11

A new surgery is successful 85% of the time. If the results of 6 such surgeries are randomly sampled, what is the probability th

at fewer than 4 of them are successful
Mathematics
1 answer:
Leno4ka [110]4 years ago
8 0

The probability that fewer than 4 of them are successful are 0.9527

<u>Explanation:</u>

Given:

number of trials, n = 6

p(successful) = 0.85

P(x >= 4) = ?

The problem can be solved using binomial probability formula.

 P(x >= 4) = 1 - binomcdf(6,0.85,4) = 1 - 0.0473

               = 0.9527

Therefore, the probability that fewer than 4 of them are successful are 0.9527

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Is y=5x + 10 proportional
Romashka [77]

Answer:

yes (also the c.o.p would be 5)

Step-by-step explanation:

if you model this on a graph, it comes out proportional because its starts from the origin, and its a straight line with no curves.

5 0
3 years ago
At what point does the terminal side of the angle 7pi over 4 in standard position intersect the unit circle
maria [59]
The fourth terminal. The unit circle you move around counterclockwise and 8pi over 4 is 2pi, which is also zero. So the quadrant would be just 45 degrees below 2pi and in quadrant 4
6 0
3 years ago
A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How man
JulsSmile [24]

Answer:

2520 ways

Step-by-step explanation:

We can solve this problem with 3 combinations:

First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120

Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21

The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.

Now we just need to multiply the combinations to find the result:

C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways

7 0
3 years ago
When calculating interest on your bank account, the
Mariulka [41]
I think the answer is $68.43. $3421.27 x .02 = $68.43
7 0
3 years ago
Please answer question
Dmitry_Shevchenko [17]

The value of the expression 2\cos(t) + \tan^2(t) is 4 and the exact value of \sin^{-1}(\sin(\frac{5\pi}{3})) is \frac{5\pi}{3}

<h3>How to determine the trigonometry expression?</h3>

The point on the unit circle is given as:

P = (\frac 12, \frac{\sqrt{3}}2)

A point on a unit circle is represented as: (x,y), such that:

cos(t) = x and sin(t) = y.

This means that:

\cos(t) = \frac 12

\sin(t) = \frac{\sqrt 3}{2}

Calculate tan(t) using:

\tan(t) = \frac{\sin(t)}{\cos(t)}

So, we have:

\tan(t) = \frac{\frac{\sqrt 3}{2}}{1/2}

Evaluate

\tan(t) = \sqrt 3

The expression is then calculated as:

2\cos(t) + \tan^2(t) = 2 * \frac12 + (\sqrt 3)^2

Evaluate each term

2\cos(t) + \tan^2(t) = 1 + 3

Evaluate the sum

2\cos(t) + \tan^2(t) = 4

Hence, the value of the expression 2\cos(t) + \tan^2(t) is 4

<h3>How to solve the arcsin expression?</h3>

The expression is given as:

\sin^{-1}(\sin(\frac{5\pi}{3}))

As a general rule, the arc sine of sine x is x.

This means that:

\sin^{-1}(\sin(\frac{5\pi}{3})) = \frac{5\pi}{3}

Hence, the exact value of \sin^{-1}(\sin(\frac{5\pi}{3})) is \frac{5\pi}{3}

Read more about trigonometry expressions at:

brainly.com/question/8120556

#SPJ1

6 0
2 years ago
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