Answer:
$4.911 million or $6.481 million
Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.
Step-by-step explanation:
Given that:
sample size n = 18
standard deviation σ = 1.70
confidence interval = 95%
Sample mean
5.696
The level of significance = 1 - C.I
= 1 - 0.95
= 0.05
The critical value of from the Z tables
The 95% C.I for the mean is;
= 5.696 ± 0.785372
= (5.696 - 0.785372 , 5.696 + 0.785372 )
= ( 4.910628 , 6.481372 )
≅ $4.911 million or $6.481 million.
Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.
It doesn't matter because, in the end, the differences are squared and multiplying a negative by a negative yields a positive.
Answer:
4p+9=
(first start with multiple or division division from right to left then with addition from right to left)
4*4+9=
16+9=25
Answer:
x = y = 8
Step-by-step explanation:
We presume you want the values of x and y.
The angle not shown is also 45°, as the two acute angles are complementary. Then the triangle isosceles and x = y.
If you need to, you can use the Pythagorean theorem to find the value of x (and y).
(8√2)² = x² + x²
128 = 2x² . . . . simplify
64 = x² . . . . . . divide by 2
8 = x . . . . . . . . positive square root
The values of x and y are both 8.
_____
Hopefully, you will memorize the side ratios of an isosceles right triangle. They are ...
1 : 1 : √2
Multiplying these numbers by 8 gives ...
x : y : 8√2 = 8 : 8 : 8√2
In short, recognizing the factor of √2 in the number on the hypotenuse, you know immediately the values of x and y are both 8 in this 45°-45°-90° triangle.