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AlekseyPX
2 years ago
5

How will you know that the expression is a perfect square trinomial?

Mathematics
1 answer:
Alexus [3.1K]2 years ago
7 0

Answer:

An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.

Step-by-step explanation:

An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.

Now, the conditions for which an equation will be called a perfect square trinomial are;

i) It is of the form: ax² + bx + c

I) It satisfies the condition: b² = 4ac.

Thus, the perfect square formula could take the following forms:

(ax)² + 2abx + b² = (ax + b)²

Or

(ax)² − 2abx + b² = (ax − b)²

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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
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Answer:

Step-by-step explanation:

Hello!

X: number of gypsy moths in a randomly selected trap.

This variable is strongly right-skewed. with a standard deviation of 1.4 moths/trap.

The mean number is 1.2 moths/trap, but several have more.

a.

The population is the number of moths found in traps places by the agriculture departments.

The population mean μ= 1.2 moths per trap

The population standard deviation δ= 1.4 moths per trap

b.

There was a random sample of 60 traps,

The sample mean obtained is X[bar]= 1

And the sample standard deviation is S= 2.4

c.

As the text says, this variable is strongly right-skewed, if it is so, then you would expect that the data obtained from the population will also be right-skewed.

d. and e.

Because you have a sample size of 60, you can apply the Central Limit Theorem and approximate the distribution of the sampling mean to normal:

X[bar]≈N(μ;σ²/n)

The mean of the distribution is μ= 1.2

And the standard deviation is σ/√n= 1.4/50= 0.028

f. and g.

Normally the distribution of the sample mean has the same shape of the distribution of the original study variable. If the sample size is large enough, as a rule, a sample of size greater than or equal to 30 is considered sufficient you can apply the theorem and approximate the distribution of the sample mean to normal.

You have a sample size of n=10 so it is most likely that the sample mean will have a right-skewed distribution as the study variable. The sample size is too small to use the Central Limit Theorem, that is why you cannot use the Z table to calculate the asked probability.

I hope it helps!

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3 years ago
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The function, y(r)=2.76r , is used to convert Russian rubles in Japanese yen, and the function, P(y)=0.16y , is used to convert
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3 years ago
What happens when stress builds at faults
maks197457 [2]

Answer:

Energy may be released.

Rock can bend and break.

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3 years ago
Read 2 more answers
Pls answer question thx
m_a_m_a [10]

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, <em>so we can find the formula for the missing angle, x.</em>

We have been given the <em>opposite</em> and <em>hypotenuse</em> so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

<em>Substitute in the values</em>

sin (x) = 9 ÷ 15

<em>Simplify</em>

sin (x) = 0.6

<em>Rearrange to find x</em>

x = sin^-1(0.6) - Type this into your calculator

<h3>sin^-1 is the inverse or opposite of sin</h3>

x = 36.8698... ≈ 36.9°

8 0
2 years ago
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