Answer:
2.00
Step-by-step explanation:
Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution
The formula for Z score is Z = [X - mean ]./ (standard deviation)
Here X = 930.00; mean = 900.00; and standard deviation = 15.00
Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00
Answer:
m<DEF = 47°
Step-by-step explanation:
Given:
m(DEF) = 266°
Required:
m<DEF
Solution:
m<DCF = ½(m(DEF)) (Inscribed angle theorem)
Substitute
m<DCF = ½(266°)
m<DCF = 133°
Opposite angles in an inscribed quadrilateral are supplementary.
Therefore,
m<DEF = 180° - m<DCF
m<DEF = 180° - 133°
m<DEF = 47°
Answer:
1) 14 dimes
2) 5 quarters 3 nickels
3) 140 pennies
4) 28 nickels
5) 4 quarters 4 dimes
6) 10 dimes 4 nickels
Step-by-step explanation:
140% = $1.40
6%
You want to calculate the interest on $12000 at 6% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $12000.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 12000 × 0.06 × 5 to get that:
The interest is: $3600.00
1 Subtract 2 from both sides
-3y≤17−2
2 Simplify 17−2 to 15
−3y≤15
3 Divide both sides by -3
y≥−15/3
4 Simplify 15/3 to 5
y≥−5