Answer:
x=0 and x=5
Step-by-step explanation:
x^2 – 5x = 0
Factor out an x
x(x-5) = 0
Using the zero product property
x=0 and x-5 =0
Solving
x=0 x-5+5 = 0+5
x=0 and x=5
Answer:
25%
Step-by-step explanation:
125:500
divide by 5 to make 500 into 100
25:100
convert to percent
25%
Answer:
-2/3
Step-by-step explanation:
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number.
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°
BC = 4 in
