Answer:
The other two vertices have coordinates (4,4) and (10,8). He will need 40 meters of fence for the soccer field. And inside the fence there are 48 square meters, which is a 24% of the total surface of the land behind his house, assuming it is a square of 10 meters of lengt and 10 meters of width.
Step-by-step explanation:
Since the coordinates must form a rectange, then, the other two location must be (4,4) and (10,8) (each coordinate must have something in common with the coordinates of the 2 locations we were given).
The sides of the fence have length 8-4 = 4, and 10-4 = 6. Thus, the perimeter of the fence is 2*4+2*6 = 20 units. Since each unit is 2 meters, then that means that Jonas will need 40 meters of fence.
The area inside the fence is 6*4 = 24 square units, therefore it is 48 square meters, and assuming that the grid goes from 0 to 10 in both coordinates, the area of the land behind his house is 10*10 = 100 square units, thus it is 200 square meters. He is using 48/200*100 = 24% of the land for the soccer field.
Answer: <u>N=0.019666a−0.983284 or</u>
<u>A=50.85n+50</u>
Step-by-step explanation:
Let's solve for n.
a=50+50.85n
Step 1: Flip the equation.
50.85n+50=a
Step 2: Add -50 to both sides.
50.85n+50+−50=a+−50
50.85n=a−50
Step 3: Divide both sides by 50.85.
50.85n
50.85
=
a−50
50.85
n=0.019666a−0.983284
Let's solve for a.
a=50+50.85n
Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:
z = -0.52.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is <u>Z with a p-value of -0.3,</u> hence z = -0.52.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer: x= 7
Step-by-step explanation:
John has a total of 26 apples which is 3 times and 5 more than Peter's apple . Find the number of apple Peter has.
Let Peter's number of apples be x
This can be written as:
3x + 5 = 26
Collect like terms
3x = 26 - 5
3x = 21
x = 21/3
x = 7
Peter has 7 apples.