First, combine like terms.
2x + 3x can combine into 5x
5x = 5
Divide both sides by 5, and you’ll get a final answer of x = 1.
Answer:
a) H0: p > 0.0016
H1: p ≤ 0.0016
Step-by-step explanation:
A null hypothesis states that there is no relation between two variables, it's what the researcher wants to discredit.
On the other hand, the alternative hypothesis is what the researcher tries to prove.
<u>The claim of this entomologists is that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Therefore, this claim is what he wants to prove and it would be the alternative hypothesis.</u>
H1: p ≤ 0.0016
The null hypothesis would be the opposite of the alternative hypothesis and therefore it would be:
H0: p > 0.0016
Answer: The following statements are true:
It is symmetrical.
The first diagonal is all 1’s.
The second diagonal is the counting numbers.
Any number in the triangle is the sum of the two numbers directly above it.
Each row adds to a power of 2.
Please enclose that -3/5 in parentheses: <span>y+1= (−3/5)(x−4)
</span>
Let's use the intercept method to graph this line.
First, set x = 0 and find y; this y will be the y-coordinate of the vertical intercept:
y+1= (−3/5)(0−4) => y = -1 + 12/5 = -5/5 + 12/5 = 7/5. Plot (0, 7/5).
Next, set y = 0 and find x; this will give us the coordinate of the horiz. int.:
0+1= (−3/5)(x−4) => -5/3 = x - 4, or x = 4- 5/3, or x = 7/3. Plot (7/3, 0).
Now draw a straight line thru these two points.
Answer:
2. 
3. 
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9