Answer:
14 -2i
Step-by-step explanation:
9 + sqrt(-4) - ( -5 + sqrt(-16))
We know the sqrt of a negative number is i * sqrt(number)
9 + isqrt(4) - ( -5 + isqrt(16))
9 + 2i - (-5 + 4i)
Distribute the negative sign
9+2i +5 -4i
Combine like terms
14 -2i
Answer:
-17/10 is 1.7 is a rational number
Step-by-step explanation:
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
Either x=18 or x=8
Step-by-step explanation:
To find the answer to this quadratic equation, we will follow the steps below:
X² -26x +195=51
Subtract 51 from both-side of the equation
X² -26x +195-51 =51 - 51
X² -26x +144 = 0
comparing the above with the standard equation
ax² + bx + c=0
a = 1 b = -26 c= 144
Using the quadratic formula
x = -b ± √b² - 4ac /2a
x = -(-26) ± √(-26)² - 4(1)(144) /2(1)
x = 26 ± √676 - 576 /2
x = 26 ± √100 /2
x = 26 ± 10 /2
Either x= 26+10 /2 or x =26-10 /2
Either x =36/2 or x=16/2
Either x=18 or x=8
Part a: For variable X using z score you have (x-30)/10, replace X for this expression in (a), i mean Z=2+10((x-30)/10) = 2+x-30= put this in the way of z score = (x-18)/1, so the mean is 18 and standard deviation is 1.
Part b: Z=X+Y= (x-30)/10 + (x-20)/8 = solve adding fractions = (18x-440)/80 now divide all the numbers between 18 (because you need to show as z score way) = (x-24.4)/4.4, so the mean is 24.4 and standard deviation is 4.4.
For part c,do the same.
