-28/9-(-5 5/9)
-28/9-(50/9)
-28/9-50/9
22/9
= 2 4/9= 2.444444
hope this helps!
Answer:
B -0.104
Step-by-step explanation:
Step 1: Write the formula for correlation
r = total xy
√Total x² x Total y²
Step 2: Make a table to calculate all values
Table is attached in the picture below
Step 3 : Solve
Mean of X = Total X/ Total number of X
= 507/12
= 106.33
Mean of Y = Total Y/ Total number of Y
= 1276/ 12
= 42.25
r = total xy
√Total x² x Total y²
r = -352.05/ √3656.25 x 3122.66698
r = -0.104
-0.104 is negative
This negative correlation means there is an inverse correlation between variables.
Answer:
56 cups of water
Step-by-step explanation:
Katrina drinks 0.5 gallons of water per day
We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:
1 day = 0.5 gallons
7 days = x
Cross Multiply
1 day × x = 7 days × 0.5 gallons
x = 7 days × 0.5 gallons/1 day
x = 3.5 gallons
Note that 16 cups = 1 gallon
The number of cups of water she drinks per week is
1 gallon = 16 cups
3.5 gallons = x
Cross Multiply
1 gallons × x = 3.5 gallons × 16 cups
x = 3.5 gallons × 16 cups/1 gallons
x = 56 cups
Therefore, Katrina drinks 56 cups of water in a week
Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° =
, thus
sin60° =
=
=
=
( cross- multiply )
2BD = 12
( divide both sides by 2 )
BD = 6
-----------------------------------------------------------
Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° =
, thus
tan30° =
=
=
=
( cross- multiply )
AD = 6
( divide both sides by
)
AD = 6 → B