How to i solve for x in this situation? thank yous.
2 answers:
The triangle proportionality theorem states that if a line parallel to a side of the triangle intersects the triangle, then the two sides are divided proportionally.
See the attached image. In ,
according to the theorem stated above.
Let's create ratios to solve for x in this problem.
- Cross multiply (12 * x + 4) = (9 * 2x).
12x + 48 = 18x
- Subtract 12x from both sides.
48 = 6x
- Divide both sides by 6.
x = 8
You might be interested in
Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 50 seals)
P(X 50) = P(
) = P(Z
-1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
Answer:
Step-by-step explanation:
Formula to be used,
A =
Here, A = Final amount
P = Principal amount
r = rate of interest
n = Number of compounding (In a year)
t = Duration of investment (In years)
Question (5)
P = $4250
r = 0.015
n = 4
t = 3 years
A =
A =
A = $4445.24
Part (C)
1). P = $6000
r = 0.03
n = 2
t = 10 years
A =
=
= $8081.13
2). P = $9000
r = 0.05
n = 2
t = 8 years
A =
=
= $13360.55