Answer:
A) The actual length of the microchip is 3 centimeters.
B) The actual width of the microchip is 2 centimeters
C) The ratio of the original scale drawing measurements to the new scale drawing measurements is 2 inches to 3 inches.
Step-by-step explanation:
A) actual length = scale length × reciprocal of scale factor
The scale is 2 inches to 1 centimeter, so the scale factor is. 2in/1cm The reciprocal of the scale factor is. 1cm/2in The length of the chip in the scale drawing is 6 inches.
= 6 in. x (1cm/2in)
= 3 cm
B) actual width = scale width × reciprocal of scale factor
= 4 in. x (1cm/2in)
= 2 cm
C) The original scale drawing, the microchip was 6 inches long. It is now 9 inches long.
Ratio: 6in/9 in 3in/2in
The microchip was 4 inches wide. In the new scale drawing, the microchip is 6 inches wide.
Ratio: 4in/6in 2in/3in
Answer:
0.681
Step-by-step explanation:
Let's define the following events:
S: a Carter office worker is rated satisfactory
U : a Carter office worker is rated unsatisfactory
ND: a Carter office worker is placed by Nancy Dwyer
DN: a Carter office worker is placed by Darla Newberg
We have from the original text that
P(S | ND) = 0.8, this implies that P(U | ND) = 0.2.
P(S | DN) = 0.65, this implies that P(U | DN) = 0.35. Besides
P(DN) = 0.55 and P(ND) = 0.45, then we are looking for
P(DN | U), using the Bayes' formula we have
P(DN | U) = 
= 
=0.681
Answer
A
Step-by-step explanation:
$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad6\frac{2}{3}=\frac{20}{3}$
=8\div \frac{20}{3}
=\frac{8}{1}\div \frac{20}{3}
=\frac{8}{1}\times \frac{3}{20}
=\frac{2}{1}\times \frac{3}{5}
=\frac{2\times \:3}{1\times \:5}
=\frac{6}{1\times \:5}
=\frac{6}{5}
Convert improper fractions to mixed numbers
=1\frac{1}{5}
Brainliest plz
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
Angles 4 and 6 are called Alternate Exterior Angles
Step-by-step explanation:
Alternate Exterior Angles are a pair of angles on the outer side of the each of two lines but on opposite sides of the transversal.
When we take two parallel lines they will create 8 angles, such as 1,2,3,4,5,6,7 & 8.
In that angle 6 is 65 degrees.
Angles 1,2,3 & $ are in one line and remaining four angles on other line.
So Angles 4 and 6 are alternate exterior angles.
