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4 + 15 - 10, because that would make 9
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% 6.4.20
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x + 19 and MP = 8x - 8
x=0
Question:
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 3x + 1 and MP = 8x – 4
Answer:
Value of x = 9, Length of LN = 64, Length of MP = 64
Solution:
Given LMNP is a rectangle. LN and MP are diagonals.
LN = 5x + 19 and MP = 8x – 8
Diagonals of a rectangle are equal in length.
⇒ LN = MP
⇒ 5x + 19 = 8x – 8
Combine like terms together.
⇒ 19 + 8 = 8x – 5x
⇒ 27 = 3x
Divide by 3 on both sides of the expression, we get
⇒ x = 9
The value of x is 9.
To find the length of the diagonals.
LN = 5(9) + 19
= 45 + 19
LN = 64
MP = 8(9) – 8
= 72 – 8
MP = 64
Length of LN = 64 and the length of MP = 64.
-positive correlation
-negative correlation
-no correlation
Answer:
Step-by-step explanation:
positive correlation
Answer:
20
Step-by-step explanation:
100 / 5 = 20
Answer with explanation:
The Curve given here is a probability density curve for a continuous random variable.
Area under the entire region of the curve = 1
Using the Standard normal table to obtain area occupied when Z values are given
Area of the normal curve, when ,Z =0.88, is =0.8106
Area occupied by normal curve ,when Z= -1.26, is =0.1038
So, Area of shaded Region
Option D:→ 0.7068
I used one of the statistical functions on my trusty TI-83 Plus calculator:
normcdf(-1.26, 0.88) = 0.707
Note that this is, as expected, between 0 and 1.
Answer: c) 0.35
Step-by-step explanation:
Let A be an event of rolling a two and B be an event of rolling a three.
Then the probability of rolling a two is given by :-
Then the probability of rolling a three is given by :-
Now, the experimental probability of rolling a two or a three is given by :-
Hence, the experimental probability of rolling a two or a three is 0.35 .
A farmer will divide a 1/4 acre plot of land into three equal-sized sections what will be the size of each section? Five friends will share equally 1/2 yard if felt for an art project. How much felt will each friend get?