I need help, can you please help me?

Calculate the slope of the line that passes through the points (1,3) (3,negative2)

Andreyy89

Slope is rise over run or (y₁-y₂)/(x₁-x₂)

(x,y)
(1,3)
(3,-2)

(3-(-2))/(1-3)=(3+2)/(1-3)=5/-2

slope is -5/2

4 0

3 years ago

In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe

zimovet [89]

Answer:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

$nCr=\frac{n!}{r!(n-r)!}$

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

$49C6=\frac{49!}{6!(49-6)!}$

$49C6=13,983,816\ outcomes$

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

"Besides your method, is there another method to determine the number of outcomes?"

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

$6C6=\frac{6!}{6!(6-6)!}=1$

Finally the probability of winning is:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

6 0

3 years ago

6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

lyudmila [28]

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

4 0

3 years ago

For each of the following hypothetical studies, identify the primary caution each researcher should have when drawing conclusion

Citrus2011 [14]

Answer:

Ecological correlation

Step-by-step explanation:

According to a different source, the options that come with this question are:

Ecological correlation
Extrapolation
Lurking variable
Influential observation

Sarah should be careful about the use of an ecological correlation. An ecological correlation describes two variables that are group means, as opposed to a correlation between two variables that describe individuals. In this case, Sarah did pick 75 random students in each state. However, she then obtained the height and weight means for each state, and proceeded to compare these. Therefore, Sarah is not comparing individual values, but means. It is important to notice this, because correlations at a group level can be much higher than those at the individual level.

5 0

3 years ago

The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a

Natali [406]

Cone Lateral Area = (π • r • slant height)
Cone Lateral Area = (PI * 3 * 5)
Cone Lateral Area = 47.1 square inches
Cone Lateral Area = 47 square inches (rounded to nearest whole number).

6 0

3 years ago

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