Step-by-step explanation:
the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean
The scale factor of the model of the airplane is 1 feet : 15 feet.
<h3>What is the scale factor?</h3>
A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension using the scale factor.
Scale factor = original dimensions / dimensions of the scale drawing
90 / 6 = 15
1 : 15
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The equation 4(x − 7) − 128 = 9x − 5(x + 6) has no solution
<h3><u>Solution:</u></h3>
Given that 4(x − 7) − 128 = 9x − 5(x + 6)
We have to find the solution for this equation
4(x − 7) − 128 = 9x − 5(x + 6)
Let us use BODMAS rule to perform the sequence of operations
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So let us solve for brackets first
4x - 28 - 128 = 9x - 5x - 30
Now let us perform subtraction
4x - 156 = 4x - 30
Now move the terms from R.H.S to L.H.S
4x - 4x = -30 + 156

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”
So this equation has no solution
The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.
The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.
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