Answer: -5/4
Step-by-step explanation: You can use the graph to count the slope. The change in y is -5 and the change in x is 4, and slope is change in y over change in x.
Answer:
DE = 20 units
Step-by-step explanation:
<u><em>GIVEN</em></u><em> :-</em>
- D & E are the mid-points of AB & BC respectively.
- DE = 4x + 4
- AC = x + 36
<u><em>TO FIND</em></u><em> :-</em>
<u><em>FACTS TO KNOW BEFORE SOLVING</em></u><em> :-</em>
- The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle.
- The Triangle Midsegment Theorem tells us that a midsegment is one-half the length of the third side (the base), and it is also parallel to the base.
<u><em>PROCEDURE</em></u><em> :-</em>
According to Triangle Midsegment Theorem ,
Multiplying 2 on both the sides ,
∴ DE = 4×4 + 4 = 20 units
Answer: 0.345
Step-by-step explanation:
Given : The incomes of families in Newport Harbor are normally distributed with Mean : and Standard deviation :
Samples size : n=4
Let x be the random variable that represents the incomes of families in Newport Harbor.
The z-statistic :-
For x= $800,000
By using the standard normal distribution table , we have
The probability that the average income of these 4 families exceeds $800,000 :-
Hence, the probability that the average income of these 4 families exceeds $800,000 =0.345
Answer:
x = 3
Step-by-step explanation:
5x+1-1=3x+7-1
5x=3x+7-1
5x=3x+6
5x-3x=3x+6-3x
2x=3x+6-3x
2x = 6
---- ----
2 2
x=3
Answer:
x=3, y=5
Step-by-step explanation:
To find x:
Because opposite sides of a parallelogram are congruent, we can set up the equation 2x+5=12x-25. Solving the equation will show that x=3.
To find y:
Using the same method as x, we can find that y=5.
Hope this helped!