Answer:
True
Step-by-step explanation:
A number and its reciprocal have the same sign.
The cosecant is the reciprocal of the sine.
Therefore, the cosecant has the same sign as the sine.
The signs of the cosecant function will change in each quadrant, making the statement false.
The statement is false. The cosecant function, csc(x), is defined as the reciprocal of the sine function, so csc(x) = 1/sin(x). Since the sine function changes sign between the different quadrants, the cosecant function will also change sign in each quadrant. In the 1st and 3rd quadrants, both the sine and cosecant functions have positive values. In the 2nd and 4th quadrants, both functions have negative values.
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Answer:
Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i
Answer:
The probabilities of Type I is 0.10.
The probability of type II error is 0.3
Step-by-step explanation:
Consider the provided information.
Type I error: If we reject the null hypothesis when null hypothesis is true then it is called type I error.
The type I error is denoted by α.
Type II error: If we fail to reject the null hypothesis when null hypothesis is false then it is called type II error.
The type II error is denoted by β.
It is given that significance level α = 0.10.
Thus, the probabilities of Type I is 0.10.
The power of the test is:
It is given that power is 0.7.
Therefore,
Hence, the probability of type II error is 0.3
Answer:
0.9
Step-by-step explanation:
14/15 = 0.933333333 IF:
1. You first change it into a decimal by dividing the numerator by the denominator.
14 ÷ 15
2.You will get a recurring decimal.
0.933333333
3. The first digit after the decimal is in the position of the 'tenths'
0.9
4. You should use only two digits after the decimal to calculate
0.93
5. Since the number 3 is less than five, it will change into a zero and get eliminated.
∴ The answer will be = 0.9
f(7)=
f(-2)=
f(-4)=
The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.
A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given,
f(x)=2x-3
f(7) so put x = 7
f(7) = 2(7) - 3
f(7) = 11
Now,
f(-2) so put x = -2
f(-2) = -2×7-3
f(-2) = -17
Now,
f(-4) so put x = -4
f(-4)= -4×7-3
f(-4) = -31
Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.
For more about the function,
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Step-by-step explanation:
f(x)=2x-3
now,
f(7)=2× 7-3
=14-3
=11
f(-2)='-2×7-3
= -14-3
b= -17
f(-4)= -4×7-3
= -28-3
= -31
We are given the following expression
Here the base is √2 and its power (exponent) is √7
The value of this expression can easily be calculated using any scientific calculator.
The maximum number of decimal places depends upon the type of calculator you use.
Let us round this value to 7 decimal places.
Answer: 7 (x+4)
Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.