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leva [86]
1 year ago
14

Given a and b are first quadrant angles, sin a=5/13 and cos b=3/5 evaluate sin (a-b)1) -33/652) 33/653) 63/65

Mathematics
1 answer:
bezimeni [28]1 year ago
5 0

The correct option is -33/65.

The solution is given below:

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Which BEST explains the expression x( y z + 1 2 )? A) x depends on ( y z + 1 2 ). B) ( y z + 1 2 ) depends on x. C) x and ( y z
Alekssandra [29.7K]

9514 1404 393

Answer:

  D)  x and ( y z + 1 2 ) are independent of each other

Step-by-step explanation:

Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.

Here, there is no such additional information, so we must assume ...

  x and (yz +12) are independent of each other

_____

<em>Additional comment</em>

The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...

  g(x)

which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).

Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.

8 0
2 years ago
Lucy is using a one-sample t ‑test based on a simple random sample of size n = 22 to test the null hypothesis H 0 : μ = 16.000 c
slega [8]

Answer:

The value of test statistic is 1.338

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 16.000

Sample mean, \bar{x} = 16.218

Sample size, n = 22

Alpha, α = 0.05

Sample standard deviation, s = 0.764

First, we design the null and the alternate hypothesis

H_{0}: \mu = 16.000\text{ cm}\\H_A: \mu < 16.000\text{ cm}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{16.218 - 16.000}{\frac{0.764}{\sqrt{22}} } = 1.338

Thus, the value of test statistic is 1.338

4 0
3 years ago
How would you find the volume of the solid in the figure?
RUDIKE [14]
First you measure the volume then use multiplication
6 0
3 years ago
Read 2 more answers
Geometry Angles question 3, Thanks if you help
Andre45 [30]

Answer:

54

Step-by-step explanation:

64 + 62 = 126

180 - 126 = 54

5 0
3 years ago
Read 2 more answers
A farmer has 9 2/5 acres of land. If he sells 1 1/3 acres to his neighbor, how many acres of land does he have left?
UkoKoshka [18]
9 2/5 - 1 1/3 =
47/5 - 4/3 =
141/15 - 20/15 =
121/15 =
8 1/15 <==

4 0
3 years ago
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