Answer:
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
Insert it in the previous equation to get
Answer:
Ans) 42.7%
Step-by-step explanation:
For a continuous probability distribution, a curve known as probability density function contains information about these probabilities.
in the given range -
The probability that a continuous random variable = equal to the area under the probability density function curve
The probability that the value of a random variable is equal to 'something' is 1.
As per the diagram,
Weight of chocolate bar between 4 ounces and 7 ounces is highlighted in the blue part. That area is said to be 0.42739 and the total area under the curve is 1.
Hence required probability
=0.42739/1=0.42739
Ans) 42.7%
Round to nearest tenth of a percent
Answer:
K = -7
Step-by-step explanation:
If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0
Given the 2×2 matrices
A =
We are to find K if =0
A² =
A² =
8A = 8
8A =
Since
Substitute the resulting matrices into the expression above:
A^2-8A-KI = - - =
From the expression, we have the equations;
1 - 8 - k = 0
-7 - k = 0
-7 = k
<em>k = -7</em>
<em>Hence the value of K is -7</em>
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