Which of the following is equivalent to the expression (3ab)(-5ab)?

Find the slope for (3,1)and (4,3)

Vaselesa [24]

Y2-y1 / x2-x1

so, 3-1 =2 and 4-3=1
2/1 is 2

3 0

2 years ago

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Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.

nordsb [41]

The greatest whole possible whole number length of the unknown side is 9 inches

Solution:

Two sides of an acute triangle measure 5 inches and 8 inches

The length of the longest side is unknown

We have to find the length of unknown side

The longest side of any triangle is a hypotenuse

For a acute triangle we know:

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

$c^2$

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

$c^2< 5^2+8^2\\\\c^2 < 25 + 64\\\\c^2 < 89\\\\c < 9.4$

On rounding to nearest whole number,

c < 9

Hence, to the greatest whole possible whole number length of the unknown side is 9 inches

8 0

3 years ago

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According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in

Liono4ka [1.6K]

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$