Answer:
t10 = 59x - 30
Step-by-step explanation:
a = 5x + 6
d = 11x + 2 - 5x - 6
d = 6x - 4
n = 10
tn = a + (n - 1)*d
t10 = 5x + 6 + (10 - 1) ( 6x - 4)
t10 = 5x + 6 + 9(6x - 4)
t10 = 5x + 6 + 54x - 36
t10 = 59x - 30
Check by finding the 3rd term
d = 6x - 4
n = 3
a = 5x + 6
t3 = 5x + 6 + (3-1)*(6x - 4)
t3 = 5x + 6 + 2(6x - 4)
t3 = 5x + 6 + 12x - 8
t3 = 17x - 2 which is exactly what it should be.
Answer:
Step-by-step explanation:
Remark
This is an "in theory" type of question. She's going to actually need a little more.
Area 1
L = 15
W = 12 1/3
Area = L*W
Area = 15 * 12 1/3 I wonder if you know what the distributive property is. I'll try it. If you don't understand, leave a remark
Area = 15 * (12 + 1/3) Multiply both parts by 15
Area = 15*12 + 1/3 * 15
Area = 180 + 5
Area = 185 square inches.
Area 2.
This is a little harder because their are
2 fractions.
The easy way to do this is change to decimals
L = 10 1/3 = 10.33333333
W = 10 1/4 = 10.25
Area = 10.3333333 * 10.25
Area = <u> 105.92</u> Add
Total Area
The total area = 290.92
It is (2) and (4) for your answer. I hope this has helped.
Answer:
0.2301 = 23.01% probability that exactly 2 don't grow.
Step-by-step explanation:
For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
90% chance of growing into a healthy plant.
This means that
12 seeds are planted
This means that
What is the probability that exactly 2 don't grow?
So 12 - 2 = 10 grow, which is . Then
0.2301 = 23.01% probability that exactly 2 don't grow.
Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized