Answer:
y = x + 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = , then
y = x + c ← is the partial equation
to find c substitute (- 4, 5 ) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = x + 8 ← equation of line
Answer:
The range of given data set is 90.
Step-by-step explanation:
We are given the following data:
20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4
When this data is arranged in ascending order, we get:
20.9 , 21.8 , 23.5 , 24.9 , 30.4 , 33.1 , 40.4 , 45.4 , 58.5 , 60.3 , 74.1 , 110.9
Range is a measure of dispersion and can be easily calculated.
Formula:
Thus, the range of given data set is 90.
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 8
Putting x=1.5 in Eqn 1
Dividing both sides by 8
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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