Answer:
Step-by-step explanation:
X+Y = 13
$18 + $22 = $258
OR
18X+22Y=258
18X + 22(13 - X) = 258
18X + 286 - 22X = 258
286 - 4X = 258
-4X= 258 - 286
-4X = -28
X= 7
Y=6
7 of the X tour packages & 6 of the Y tour packages
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
Answer:
50.40% probability that all 4 are different.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
4 digits, all different
For the first digit, it can be any of them, so there are 10 possible
For the second digit, it can be any of them other than the first digit. So there are 9 possible.
For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.
By the same logic, 7 possible digits for the fourth. So
Total outcomes:
4 digits, each can be any of them(10 from 0 - 9).
So
Probability:
50.40% probability that all 4 are different.
The value of x is 9.
We have : - 25 = 7 - (5x - 13)
We have to find the value of x.
<h3>If f(x) = g(x), than what do you understand by true solution of this equation?</h3>
The true Solution of the equation is the value of x for which LHS = RHS.
For example - if ax + b = cx + d , then
ax - cx = d - b
x = 
is the true solution of the equation.
In the question given -
- 25 = 7 - (5x - 13)
- 25 = 7 - 5x + 13
5x = 45
x = 9
Hence, the value of x for which LHS = RHS is 9.
To solve more questions on finding unknown variable, visit the link below -
brainly.com/question/6866597
#SPJ1
Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in.
To find this, we will use the area of a triangle formula.
1/2bh = a ---> plug in known values.
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73
