-9v-6+7v=6
-2v-6=6
-2v=6+6
-2v=12
v=-6
Answer:
-4x-1
Step-by-step explanation:
Answer:
Option a 26 inches square
Step-by-step explanation:
Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches
The altitude for base 13 inches is shown as 4 inches.
We know that for any triangle area
=1/2 * base * height
Here base = 13 and height = 4
Hence area = 1/2 (13)(4) = 26 inches square
Answer is option a
---
This can be done in another way also
There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches
Area of combined figure = sum of area of two triangles
= 1/2 (10)(4) +1/2(3)(4) =
20+6
=26 square inches
The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
Answer:

And we can find the individual probabilities using the probability mass function and we got:


And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want this probability:

And we can use the complement rule and we got:

And we can find the individual probabilities using the probability mass function and we got:


And replacing we got:
