Answer:
15%
Step-by-step explanation:
56-32/32×100
24/32×100=75
100-75=15%
Answer:
x = x - 4/6
false
Step-by-step explanation:
6(x - 1) - 4x = 2(3x - 5)
First, lets distribute the 6 to each item inside the parentheses on the left side. You can do this by multiplying the 6 by each term.
6 * x = 6x
6 * -1 = -6
6x - 6 - 4x = 2(3x - 5)
Next, we will combine like terms.
6x - 4x = 2x
2x - 6 = 2(3x - 5)
Now, let's look at the right side of the equation.
Let's distribute the 2 to each item inside the parentheses on the left side. You can do this by multiplying the 2 by each term.
2 * 3x = 6x
2 * -5 = -10
6x - 1 = 6x - 5
Immediately, we can tell this is false, but let's solve the equation just to make sure.
6x - 1 = 6x - 5
+1 +1
6x = 6x - 4
--- --------
6 6
x = x - 4/6
This is false.
The probability that more than 5 students will pass their exam is 0.0188416.
<h3>How to find the probability?</h3>
The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =

The probability that 7 students pass their exam =

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
Learn more about probability here: brainly.com/question/24756209
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Answer:
Step-by-step explanation:
Here is an illustration of the problem:
----------------------------->|<------------------
A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
---------------------------------->|<------------------
A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
Answer:
The confidence interval is (24116.3878,24883.6122).
Step-by-step explanation:
We are given the following information in the question:
Population mean,
= $23,500
Sample mean,
= $24,500
Sample standard deviation,s = $2,800
Sample size, n = 146
Confidence interval:
Putting the values, we get,
The confidence interval is (24116.3878,24883.6122).