How many decimal places are in the product of the expression below? 25.6 times 14.2
2 answers:
You might be interested in
Answer:
The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have n unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>μ</em> = 3.5
<em>σ</em> = 1.7078
<em>n</em> = 400 = number of times the experiment is repeated.
As the sample size is quite large, i.e. <em>n</em> = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.
The mean of the distribution of sample means is:
The standard deviation of the distribution of sample mean is:
The distribution of the sample mean is:
.
Thus, the correct option is (C).
Step-by-step explanation:
Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.
Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.
For example, look at
We can combine 7x and 9x.
Add the coeffceint and keep the variable.
16x+6
Solving Algebraic Equations:
Alot questions in Algebra asks you to isolate a variable. For example,
First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,
<em>WHAT</em><em> </em><em>WE</em><em> </em><em>DO</em><em> </em><em>TO</em><em> </em><em>ONE</em><em> </em><em>SIDE</em><em>. </em><em>WE</em><em> </em><em>DO</em><em> </em><em>TO</em><em> </em><em>THE</em><em> </em><em>OTHER</em><em>.</em>
<em></em>
<em>Now</em><em>,</em><em> </em>we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.
If we plug this in, it is indeed true.
Some other rules are
If we multiply a term by a one term, we only affect the term that is being multiplied, for example
2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.
When we multiply 2 variables, we put the variable near each other. For example,
When we add term, we add the coeffcient parts
Know that
When we multiply same term variables, we get
There is more formulas for Algebra. But these are the basicis.
Using the given information, the width of the river is 505.96 m
<h3>Bearing and Distances</h3>From the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines
∴
/FC/ = 1479.33 m
Now,
By SOH CAH TOA
NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
Learn more on Bearing and distances here: brainly.com/question/19351991
#SPJ1