The Robinson toy company sold 10^8 boxes of Silly Bands. Each box of Silly Bands contains 10^4 Silly Bands. How many Silly Bands
2 answers:
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Answer:
Step-by-step explanation:
<u>Confidence Interval</u>
When the population standard deviation is known, the formula for a confidence interval for a population mean
is:
Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are
Calculating the confidence interval
Or, equivalently
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB =
=
=
= 2.83 units
Length of AD =
=
= 2.83 units
Length of BC =
=
= 4.47 units
Length of DC =
=
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane. 
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2