The solutions are
.
Solution:
Given equation:

Add
on both sides.

-------- (1)
(given) -------- (2)
Equate (1) and (2).

Add
on both sides.


Add 5 on both sides.


Divide by 5 on both sides, we get

Taking square root on both sides, we get

Substitute
in (1).



Substitute
in (1).



Therefore the solutions are
.
Option C is the correct answer.
The sinusoidal function graph has a period of 2·π and a minimum point
with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...
Response:
- The minimum value of the function is -6
<h3>How to find the minimum value of a function?</h3>
The minimum value of a function is the lowest vertex value of the
function.
The given graph description, is the graph of the following function;
f(t) = 0.5·sin(t) - 5.5
The minimum value is given at the location where, sin(t) = -1, which gives;
f(t) = 0.5 × (-1) - 5.5 = -6
The minimum value of the function is therefore;
Learn more about the graphs of functions here:
brainly.com/question/26254100
Well, you need a diagram (see attached).
Since angle S = angle T then
9x -11 = 7x -3 ...... 2x = 8 ........ x = 4
RS = RT = 4
There must be some more information that can't be seen
Answer:
85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

Uniformly distributed between 20 minutes and 44 minutes.
This means that
.
What is the probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
We know that it takes less than 41 minutes, so we can update b to 41.
So

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
Answer: Hello mate!
in your group, there are 16 players, 10 males, and 6 females.
in this case, 5 males already arrived (then there are 5 other males left)
and 4 females already arrived (then there are other 2 females left)
then there are a total of 7 players left, where 2 are female and 5 are males.
you want to know the probability that the next person through the door will be a male.
this is the number of male players left, divided by the number of players left: 5/7 = 0.71
then the probability that the next person through the door will be a male is 0.71.