Answer:
67
Step-by-step explanation:
Subsitute both given values into the equation then continue to simplify the equation
3(4(-2)+5(3)) -2(7(-2)-3(3))
3(-8+15) -2(-14-9)
3(7) -2(-23)
21 +46
67
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z= where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)= ≈ -1.035
For the sample proportion 0.5:
z(0.5)= ≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
Answer:
answer : C
Step-by-step explanation:
Answer:
c. The tip is $10.00
Step-by-step explanation:
The total bill in the restaurant is = $ 68.42
They wanted to pay a gratuity of 15%
Therefore the correct tip can be calculated as :
= 68.42 of 15%
=
= 68.42 x 0.15
= 10.263
≈ 10 (approx.)
Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.