1). Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).
(See explanation at the bottom)
= (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)
= (5400 x 1 x 1 / 12 x 5280) (inch - foot - mile / inch - foot)
= 0.0852 mile
2). Multiply (16 week) by (7 day/week) then by (24 hour/day)
then by (60 minute/hour) then by (60 sec/minute).
3). Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
and then by (1000 mm/meter)
4). Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
then by (1 mile/1609.3 meter).
5). Look up how many grams in a pound ('P')
Look up how many mL in a gallon ('G')
Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)
6). Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).
Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch). Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out. When you're done, if you did it correctly, the last unit you end up with will be the one you want.
Answer:
See Below
Step-by-step explanation:
That rule is a transformation across the x-axys.
Assigne a letter to each point:
A = (2, 7) => A' = (2, -7)
B = (-5, -2) => B' = (-5, 2)
C = (4, -3) => C' = (4, 3)
Answer:
Check the explanation
Step-by-step explanation:
(a)
P-value of income and size is 0.0003 and 0.0001 respectively. Both are less than 0.05 level of significance. So these are significant ot the model. Option D is correct.
(b)
The model is
House_size = -1.6335+0.4485*income + 4.2615*family_size -0.6517*school
Here we have income = 85600/1000 = 85.6
family_size = 6
school = 13
So the predicted house size is
House_size = -1.6335+0.4485*85.6 + 4.2615*6 -0.6517*13=53.855
the predicted house size (in hundreds of square feet) is 53.86. hence, option B is correct.
3)
Here we have income = 100000/1000 = 100
family_size = 10
school = 16
So the predicted house size is
House_size = -1.6335+0.4485*100 + 4.2615*10 -0.6517*16=75.40
Residual : observed value- predicted value = 70 - 75.40 = -5.40
Option C is correct.
Answer:
Step-by-step explanation:
A. The front elevation of the pyramid in the direction of the arrow is herewith attached to this answer.
B. Base of the pyramid is a square of side 12 cm.
The height of the pyramid is 8 cm.
Slant height, XT, is 10 cm.
The total surface area of the pyramid can be determined by adding the surface areas that make up the shape.
Area of the triangular face = 
× base × slant height
= × 12 × 10
= 60 
Area of the square base = length × length
= 12 × 12
= 144
Total surface area of the pyramid = area of the base + 4 (area of the triangular face)
= 144 + 4(60)
= 144 + 240
= 384
Therefore, total surface area of the pyramid is 384 .
