Answer:
d ≤3
Step-by-step explanation:
9−4d≥−3
Subtract 9 from each side
9-9−4d≥−3-9
−4d≥−12
Divide by -4, remembering to flip the inequality
-4d/-4 ≤ -12/-4
d ≤3
Answer:
13
Step-by-step explanation:
Given:
- Square stickers that were 3/4 in long
- The spine is 10 and 1/2 in long
If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:
10 : 
≈13
She needs 13 stickers cover the length of the spine
You have ratios 3:4, 4:3, 2:5 and 5:2. Each of these ratios is such that in total gives 7.
Divide segment AB in seven equal parts. Then:
- Point P partitions the directed line segment from A to B into a 3:4 ratio. This means that point P lies three such parts to the right from point A and four such parts to the left from point B.
- Point Q partitions the directed line segment from A to B into a 4:3 ratio. This means that point Q lies four such parts to the right from point A and three such parts to the left from point B.
- Point R partitions the directed line segment from A to B into a 2:5 ratio. This means that point R lies two such parts to the right from point A and five such parts to the left from point B.
- Point S partitions the directed line segment from A to B into a 5:2 ratio. This means that point S lies five such parts to the right from point A and two such parts to the left from point B.
As you can see the closest point to point B is point S, because it lies 2 parts to the left from point B and and this amount of parts is the smallest one.
Answer: correct choice is point S.
Answer:
<h3>Option a) Influential point is correct.</h3><h3>∴ the point P(194,364.2) is an influential point.</h3>
Step-by-step explanation:
Given that the regression equation for a set of paired data is = -23.8 + 2x. The values of x run from 100 to 400.
A new data point, P(194, 364.2), is added to the set.
From the given we can write it as y = -23.8+2x
Put x=194 in the above equation we get,
= 364.2
<h3>
∴ y(194)=364.2</h3>
Hence, point P(194,364.2) is on regression line and it is not outlier.
<h3>
∴ the point P(194,364.2) is an influential point.</h3><h3>Hence option a) Influential point is correct.</h3>
Answer:
\left(3+i\right)y\left(3-i\right)=10y
Step-by-step explanation:
\left(3+i\right)y\left(3-i\right)
\left(3+i\right)\left(3-i\right)y
=y\cdot \:10
=10y
