The correct Option is (A) True
Explanation: Given polynomial:
x^2 + 5x + 6
To find the factors do following steps:
Step 1:
x^2 + 2x + 3x + 6
Step 2:
x(x + 2) + 3(x+2)
Step 3: Take the common out!
(x+2) (x+3) (True)
<span>It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
</span><span> (1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side
Check other equation
x=2y-1
1=2(1)-1
1=1
</span><span>Therefore the solution is (1,1). Since the left hand side= right hand side in each equation</span>
Answer:
See below ↓↓↓
Step-by-step explanation:
<u>Subquestion #1</u>
- These angles form a linear pair
- They are supplementary, and add up to 180°
- 2x + 48 = 180
- 2x = 132
- <u>x = 66</u>
<u></u>
<u>Subquestion #2</u>
- These angles are complementary, and add up to 90°
- 35 + 4x + 7 = 90
- 4x + 42 = 90
- 4x = 48
- <u>x = 12</u>
<u></u>
<u>Subquestion #3</u>
- As in #1, they are a linear pair, and are supplementary
- 3x + 54 = 180
- 3x = 126
- <u>x = 42</u>
Answer:
D. No, because the sample size is large enough.
Step-by-step explanation:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the sample size is higher than 30, on this case the answer would be:
D. No, because the sample size is large enough.
And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.
From the central limit theorem we know that the distribution for the sample mean
is given by:
If the sample size it's not large enough n<30, on that case the distribution would be not normal.