Answer:
Step-by-step explanation:
Let x be the random variable representing the minutes people spend browsing websites. Since the population mean and population standard deviation are known and it is a normal distribution, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 4.5 minutes
σ = 1.2 minutes
The probability that people spent between 4 and 6 minutes browsing the sites is expressed as
P(4 ≤ x ≤ 6)
For x = 4,
z = (4 - 4.5)/1.2 = - 0.42
Looking at the normal distribution table, the probability corresponding to the z score is 0.3372
For x = 6
z = (6 - 4.5)/1.2 = 1.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.8944
Therefore,
P(4 ≤ x ≤ 6) = 0.8944 - 0.3372 = 0.5572
The percentage of people spending between 4 and 6 minutes browsing the sites
0.5572 × 100 = 55.72%
Answer:
1 - F
2 - B
3 - H
4 - A
Step-by-step explanation:
1.
m = -2
b = 4
y < mx + b
y < -2x + 4
F
2.
m = 1
b = -2
y < mx + b
y < 1x -2
y < x - 2
B
3.
m = -4
y <= mx + b
H is the only one that follows those rules
4.
m = 1
y >= mx + b
A is the only one that follows those rules
Hi there! 2 ½ is equivalent to 2.5 and 7 ½ is equivalent to 7.5. An expression that can be used to find out how many strips can be cut is this:
2.5x = 7.5
This is because the length of the ribbon needed to be cut is 2.5 ft long and we are looking for how many of that length could be cut out of a roll of ribbon that is 7.5ft long. All you have to do for this is divide both sides by 2.5 to isolate the variable. 7.5/2.5 is 3. x = 3. Eli can cut 3 strips of 2½ ft long ribbon.
<u>Angie buys</u>
1 Software package + 3 months of game play.
Each software package costs = $20.
Let us assume cost of one month of game play = $x.
Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.
<u> Kenny buys </u>
1 software package + 2 months of game play.
Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.
Their total cost = $115.
Adding their costs and set it equal to 115, we get
<h3>20 +3x + 20+2x = 115.</h3>
Now, we need to solve it for x.
40 + 5x = 115.
5x = 115 - 40.
5x = 75.
Dividing both sides by 5, we get
x= 15.
<h3>Therefore, $15 is the total cost of one month of game play.</h3>
1.96 divided by 4 is 48.5 cents round it to get 49 cents
so 49 cents per pound