Answer:




Step-by-step explanation:
Given:

Solving (a): P(x < 810)
To solve this, we make use of:

Because

So:



Hence:

Solving (b): P(x < 800)
To solve this, we make use of:

Because:

So:

Solving (c): P(x > 808.40)
Here, we make use of complement rule:

Where:



So:


Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:

This is calculated using:





Using complement rule, the required probability is:


To turn
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by
. Thus, you have
or
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore,
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction:
. If you divide both sides by 9, you get
. When simplified, you get that
.
Answer:
.
Answer:
Cost of 1 hamburger = $1.3
Step-by-step explanation:
Assume;
Cost of 1 hamburger = a
Cost of 1 French fries = b
On first trip
3a + 4b = 7.10......eq1
On second trip
2a + b = 3.40....eq2
From eq2 x 4
8a + 4b = 13.6....eq3
From eq3 - eq1
5a = 6.5
a = 1.3
Cost of 1 hamburger = $1.3
Yes-because from the 7th term you can either go backwards or forwards to find the number/pattern/letter you need to get to
Answer:
5/8
Step-by-step explanation:
there are 8 slices.
if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.
in maths, we write 5 out of 8 like 5/8
hope this helped, any questions - just ask
good luck,
-cheesetoasty