Answer:
a)E=.05t +34
b)$54
c)$600
Step-by-step explanation:
a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"
he earns an extra $34 a night of work. --> this is the constant
E= --> the total earned that night
E=.05t +34
b) simply plug in the total tip into the equation
E=.05(400) + 34
E=$54
--> he earned $54 that night
c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y
we find t, which is tip the restaurant was given
--> 64 = .05t +34
-34. -34
30= .05t ---> divide by .05 each side
t= $600
the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work
hoped this helped:)
P(at least 2 students have the same birthday)= 1- P(no 2 students have the same birthday)
Because P(A)=1-P(A'), where A is an event, and A' the complement of that event.
P(no 2 students have the same birthday)=
think of the problem as follows. We have an urn of balls, numbered from 1 to 365 (the number of the days of the year.
What is the probability of picking 56 different numbered balls, with replacements?
The first one can be any of the 365
the second any of 364 (since one selection has already been made)
the third any of the 363
.
.
and so on
the 56th selection is one of 310 left
Answer:
Answer:
r = 30°
Step-by-step explanation:
According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and <em>r°</em>. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, <em>r</em> = 30°.
The answer is 12/5
Remember: Soh;opposite over Hypotenuse Cah; Adjacent over Hypotenuse Toa; Opposite over Adjacent. SOH CAH TOA
Hope this helps! :)
Answer:
When the center of Earth is 2 × 1011 meters from the center of Mars, the force of gravity between the two planets is about 64.32 × 1014 newtons. The mass of Earth is about 6 × 1024 kilograms, and the mass of Mars is about 6.4 × 1023 kilograms. Using these values, estimate the gravitational constant.
