Answer:
The probability that a randomly chosen tree is greater than 140 inches is 0.0228.
Step-by-step explanation:
Given : Cherry trees in a certain orchard have heights that are normally distributed with 
inches and 
inches.
To find : What is the probability that a randomly chosen tree is greater than 140 inches?
Solution :
Mean - inches
Standard deviation - inches
The z-score formula is given by, 
Now,
The Z-score value we get is from the Z-table,
Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.
Answer:
287.1 inches of the canvas.
Step-by-step explanation:
To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.
29*33=957
Now set up your equation for solving for the area of the canvas that the rose covers.
x/957=30/100
We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.
Now cross multiply.
100x=28,710
Now divide both sides by 100.
x=287.1
The red rose covers 287.1 inches of the canvas.
I cant see the triangle so its kinda hard to know
A kite is a flat shape with straight sides. It has two pairs of equal-length adjacent (next to each other) sides.
Main properties of an arbitrary kite:
- Two pairs of sides are of equal length.
- One pair of diagonally opposite angles is equal.
- Only one diagonal is bisected by the other.
- The diagonals cross at 90°.
1. Option 1 is false, because sides that are adjacent to the right angle could have different lengths or diagonals can cross not at 90°.
2. Option 2 is correct, because this option is strictly the definition of the kite.
3. Option 3 is false, because MK and LJ can be not perpendicular, and then adjacent sides will not have the same lengths.
4. Option 3 is false, because despite the perpendicularity between MK and LJ, this figure could be rhombus (with all equal sides) or square (with all equal sides and all right angles).
By the way, rhombus and square are partial cases of kite, but in general, an arbitrary kite is not rhombus and is not square.
Answer: correct choice is 2.
