Answer:
-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup(
)
Step-by-step explanation:
Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.
-Probability is defined as the number of successful event divide by the total number of events.
#find probability of each event:
Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
After 33 weeks.
Step-by-step explanation:
Let w be number of weeks.
We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.
To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.
Let us subtract 40 from both sides of equation.
Upon Dividing both sides of our equation by 20 we will get,
Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.
Answer:
The explicit rule is:
Step-by-step explanation:
The explicit rule is given by:
The given sequence is 25,21,17,13
d=21-25
d=-4
We plug in the values into the formula to get;
Answer: 7:41 am
Step-by-step explanation:
It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.
= 13 * 2
= 26 minutes
If she leaves the house at 7:15 , she will arrive at:
= 715 + 26
= 7:41 hours
