Answer:
0.0323 = 3.23%. Is unusual
Step-by-step explanation:
Using the normal distribution we can find z value with the mean and standard deviation as follows. x is the value we want to know its probability
z = (x - mean)/standard deviation
z = (5-8.54)/1.91
z = -1.85
Using z tables for normal distribution, for z = 1.85, we have an area under the curve of 0.9677. Since we want to know the probability for 5 minutes or less, we have to substract from
p = 1- 0.9677
p = 0.0323
An event with a probability less than 5% is considered unusual.
Answer:

Step-by-step explanation:
Given


Required
Represent the width as an inequality
First, we represent the area as an inequality.

max as used above means less than or equal to.
So, we have:

The area of a rectangle is:

So, we have:

Substitute 10 for L

Divide both sides by 10



Answer:
x = 9
Step-by-step explanation:
-2x + 3 = -15
-2x = -18
x = 9
Answer:
a(5)=25
a2+a6=44
a(4)+2a(6)=93
sqrta(5)=5
Step-by-step explanation:
You are given all the terms needed but sometimes you will have to create a formula.
a(b)=6b-5 is the formula in this sequence, now you can just plug in everything.
a(5)=6(5)-5
=25
a2=7
a6=37
7+37=44
a(4)=19, a(6)=37
19+2(37)=93
a(5)=25
sqrt25=5
Hello! We see that 6 is the fixed amount. x represents the amount of something, and the solution makes a number $27. Let's make a real-world problem and then execute it.
Fawn has $6 in her piggy bank. She makes bracelets to sell to family & friends for $3 each. She wants to buy a video game that with tax, costs a little over $27. How many bracelets would Fawn have to sell in order to have enough money to buy the video game?
How to solve it:
So we have the expression of 3x + 6 > 27. First off, subtract 6 from both sides. 6 - 6 cancels out. 27 - 6 is 21. That's 3x > 21. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 21/3 is 7. There. x > 7. Fawn will have to sell more than 7 bracelets in order to have enough money for the game.