The expression √(128x⁸y³z⁹) is equivalent to the expression 8x⁴yz⁴ √(2yz). Then the correct option is C.
The missing options are given below.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(128x⁸y³z⁹)
Then the expression is given below.
⇒ √[(64 × 2)(x⁴)²(y²y)(z⁸z)]
⇒ 8x⁴yz⁴ √(2yz)
Then the correct option is C.
More about the equivalent link is given below.
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Answer:
-1, -1
Step-by-step explanation:
Answer:
1733.28 m³ or approximately 1733 m³
Step-by-step explanation:
Cone - 1/3πr²h
Cylinder - πr²h
Cone - 1/3(3.14)(6)²(10) ⇒ 376.8
Cylinder - (3.14)(6)²(12) ⇒ 1356.48
1356.48 + 376.8 = 1733.28 m³
Approximately 1733 m³
Answer:
Se=1.2
Step-by-step explanation:
The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".
The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"
The sample mean is defined as:

And the distribution for the sample mean is given by:

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.
As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

If we replace the values given we have:

So then the distribution for the sample mean
is:

Answer:
Tan(O) = 4/3
Step-by-step explanation:
According to SOH CAH TOA
cos theta = adj/hyp
cosO = 3/4
adj = 3
hyp = 5
Get the opposite
Using pythagoras theorem
opp^2 = hyp^2-adj^2
opp^2 = 5^2 - 3^2
opp^2 = 25-9
opp^2 = 16
opp = 4
Tan (O) = opp/adj
Tan(O) = 4/3
Hence Tan(O) = 4/3