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2 years ago

What is the value of sine of begin argument 45 degrees end argument?

Mathematics

1 answer:

nirvana33 [79]2 years ago

5 0

Answer:

Option A

fraction numerator square root of 2 over denominator 2 end fraction

Step-by-step explanation:

The answer can be obtained using a calculator.

It corresponds to a notable identity

sin (45) = $\sqrt{2}$ / 2

sin (45) = 0.7071

$\sqrt{2}$ / 2 = 0.7071

Please see attached picture

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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

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2 years ago

Henry's patio is in the shape of a rectangle. He drew the given model of his patio. He said the perimeter of the patio is 48 fee

Artemon [7]

Answer:

The lengths of all sides of the patio are 15, 15, 9, 9.

Pls thank if this helped!! :)

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2 years ago

A) Complete the table of values for y = 6 - 2x

GREYUIT [131]

Step-by-step explanation:

the answer as shown in the photo

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1 year ago

Drag a statement or reason to each box to complete this proof.

yanalaym [24]

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

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1 year ago

Subtract 8-4 1/2. A. 3 B. 4 C. 4 1/2 D. 3 1/2

Leokris [45]

1.
An expression of the form $a \frac{b}{c}$ is called a "compound fraction"

Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

$a \frac{b}{c}= \frac{c.a+b}{c}$

for example,

$4\frac{1}{2}$ can be written as:

$4\frac{1}{2}= \frac{2.4+1}{2}=\frac{9}{2}$

2.

when we subtract or add a fraction $\frac{m}{n}$ from an integer k,

we first write k as a fraction with denominator n. We can do this as follows:

$k=k. \frac{n}{n}= \frac{kn}{n}$

for example, if we want to subtract $\frac{9}{2}$ from 8,

we first write 8 as a fraction with denominator 2:

$8=8. \frac{2}{2}= \frac{8.2}{2}= \frac{16}{2}$

3.

Thus,

$8-4 \frac{1}{2}= \frac{16}{2}- \frac{9}{2}= \frac{16-9}{2}= \frac{7}{2}$

4.

The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

$\frac{7}{2}= \frac{6+1}{2}= \frac{6}{2}+ \frac{1}{2}=3+ \frac{1}{2}=3\frac{1}{2}$

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)

5. Answer: D

3 0

2 years ago

Read 2 more answers