Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula
now, we are given points as
F=(x1, y1)=(4,8)
H=(x2, y2)=(10,12)
so,
now, we can find
so, point is
.................Answer
Answer:
-1.29
Step-by-step explanation:
y2-y1÷x2-x1
-13-59÷-35--21
-72÷56
-1.29
Answer:
The total investment is $5020.19
Step-by-step explanation:
Given : $2150 invested at 5.3% for 16 years and compounded continuously
To find : What is the total investment?
Solution :
The formula of continuously compounded interest is
Where A = amount invested
P = principal = $2150
e = Euler's number (on calculator)
r = interest rate as decimal = 5.3%=0.053
t = time in years = 16 years
Substitute the value in the formula,
Therefore, Option 4 is correct.
The total investment is $5020.19.
Answer:
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = 0.00621
Step-by-step explanation:
This is a normal distribution problem
The mean of the sample = The population mean
μₓ = μ = 4 ounces
But the standard deviation of the sample is related to the standard deviation of the population through the relation
σₓ = σ/√n
where n = Sample size = 100
σₓ = 1.2/√100
σₓ = 0.12
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3)
To do this, we first normalize/standardize the 4.3 ounces
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (4.3 - 4)/0.12 = 2.5
To determine the probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = P(z > 2.5)
We'll use data from the normal probability table for these probabilities
P(x > 4.3) = P(z > 2.5) = 1 - P(z ≤ 2.5) = 1 - 0.99379 = 0.00621
The congruence symbol is this: ≅.
It’s saying to write the statement that’s saying both shapes are congruent. For example ABC ≅ DEF but use the letters in the shapes they gave.
