Find the percent of increase. round to the nearest tenth, if necessary. from 20 ounces to 49 ounces

Mathematics

1 answer:

zimovet [89]2 years ago

6 0

Hope this helps, 49ounces --> 49/20 *100 (sry for the bad handwriting)

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Classify the following triangle

jek_recluse [69]

Acute-The angle is less than 90 degrees

Equilateral-All sides are equal in length

Isosceles-Two of the sides are equal in length

Scalene-None of the sides are equal in length

Right-The angle is 90 degrees

Obtuse-The angle is greater than 90 degrees

We can see that none of the sides are the same length, so we know that it must be scalene. We can also see that every angle is less than 90 degrees, so we know that is must be acute.

The triangle is scalene and acute.

Hope this helps!!

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3 years ago

A distribution is positively skewed if which of these statements is true about the density curve that represents it?

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Consider rolling two fair dice one 3-sided the other 5-sided

Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

$1\leq x\leq 3,\quad 1\leq y \leq 5$

We have $P(X=x)=\frac{1}{3}$ and $P(Y=y)=\frac{1}{5}$ , because the dice are fair.

Now we use the assumption of independence to claim that

$P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}$

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

2 in a unique way (1+1)
3 in two possible ways (1+2, 2+1)
4 in three possible ways
5 in three possible ways
6 in three possible ways
7 in two possible ways
8 in a unique way

This implies that the probabilities of the outcomes of $W=X+Y$ are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5