Answer:
use FOIL- Firsts Outsides Insides Lasts
- Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12
- Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24i
- Insides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i
- Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)
- add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2
- Simplify by adding like terms which is -24i and -9i.
<h3>12+-33i+18i^2 is the answer </h3>
Answer: The volume of a cuboid is given by the formula V = LWH, and the surface area of a cuboid is given by the formula SA = 2lh + 2wh + 2lw where l = length, w = width, and h = height.
And i was just learning this a few days back lol
1. A
Two triangles are said to be in perspective (or as some would call it, homologous) from a point if their corresponding vertices form three lines that intersect in that single point (called a colinear point). Desargues' theorem asserts that if two triangles are in perspective from a point, then they are also perspective from a line (called the perspectrix<span>); for this reason perspective triangles are also calles coplanar triangles.
2. B (13)
</span>The series of numbers shown in the question is known as the Fibonacci Sequence. <span>The next number in the sequence is found by finding the sum of the two numbers that precede it.
</span>
1 = 0+1
<span>2 = 1 + 1
3 = 1 + 2
5 = 3 + 2
8 = 5 + 3
Next number is 13 (8 + 5)</span>
Answer:
The minimum score a person must have to qualify for the society is 162.05
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that 
.
What is the minimum score a person must have to qualify for the society?
Since the person must score in the upper 7% of the population, this is the X when Z has a pvalue of 0.93.
This is 
.
So
The minimum score a person must have to qualify for the society is 162.05
