The easiest of the two options to prove is option A.
To see whether or not option A. is true, we need to find out how much the Greens have been saving every month. We know that the Greens have saved $6120 in the last year, or twelve months. To find out how much they have been saving each month, we need to divide the amount they have saved by the number of months they have been saving.
$6120/12 months
This turns out to be $510 each month.
Now, to find out whether or not option 11
A. is true, we need to find out the amount of money that the Greens would save in eighteen months.
$510 * 18 = $9180
Now that we have the amount of money that the Greens would save over eighteen months, we need to see if an additional month of saving would let them reach $10,620.
$9180 + $510 = $9690
Now, we know that option A is not true because the Greens would not have enough money after only one extra month of saving. Because option A is not true, option B must be true.
<h2>
∴Will ran 13.55 yards more than James.</h2>
Step-by-step explanation:
Given Will ran the diagonal distance across a square field measuring 40 yards each sides .
∴The distance covered by Will was =
yards
= 
yards=56.56 yards
Again James ran diagonal distance across a rectangle field with a length of 25 yards and a width of 35 yards.
So,distance covered by James was =
yards
=
yards = 43.01 yards
∴Will ran longer distance.
∴Will ran 13.55 yards more than James.
Answer:
A. y = sine (x + 90 degrees)
Step-by-step explanation:
- y = cosine(x) is a curve that crosses the y-axis at y = 1 and completes one cycle at 360 degrees.
- sine(x) have the same curve than cosine(x), but translated 90° to the right respect cosine(x)
- f(x + c) translates f(x) horizontally c units to the left.
- Then, sine(x + 90) is equivalent to cosine(x)
Answer:
1a) Length = 7x + 3 & Width = 4x - 2
1b) Area = 
1c) Area = 2774 sq. m
2. 
Step-by-step explanation:
1a)
The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)
The area is length * width
Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:
Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6
Area =
1c)
Given x = 10, we put this into the area expression we found in (b) above.Let's see:
Area = 2774 sq. m
2.
We can group the first two terms and next two terms and write up:
That's the factored form.
Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
