The correct proportions are given as follows:
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions for this problem are given dividing y by x, hence:
- x = 3, y = 27: 27/3 = 9, hence 9/1 has to be marked.
- x = 9, y = 81: 81/9 = 9, hence 9/1 has to be marked.
- x = 21, y = 126: 126/6 = 6, hence 6/1 has to be marked.
- x = 14, y = 84: 84/14 = 6, hence 6/1 has to be marked.
- x = 12, y = 36: 36/12 = 3, hence 3/1 has to be marked.
- x = 15, y = 45: 45/15 = 3, hence 3/1 has to be marked.
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Her total profit is £35
40x1.50= 60 60-25= 35
Answer:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either they are defective, or they are not. Each part has a 4% probability of being defective, and the probability of a part being defective is independent of other parts, that is, they are selected independently. These are the conditions under which this situation would be a binomial experiment.
So the correct answers are:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Answer:
Step-by-step explanation:
Graphing the equation in the form it is given is eventually hard so we always rewrite the equation in the form of y. Lets rewrite the equation in the form of y.

now if we compare it to our slope-intercept form which is

m is the slope which is 1/2 which tells us that if the slope is positive the graph is a positive slope means that two variables are positively related that is, when x increases so does y, and when x decreases y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises, and b is the y-intercept which is 3/4.
Intercept means where the line intersects the specific axis. In this case b is y-intercept which is 3/4 which means the line intersects the y-axis at 3/4
so we have our first point (0 , 3/4)
now in order to graph the line we need one more point that is the x-intercept which means where the line would intersect the x-axis the coordinate would be (x , 0) so lets insert this coordinate into our equation that we rewrote above.

so our x-intercept is (-3/2 , 0)
Below I have attached the graph file you check it out for better understanding