The right answer is Option B: 7p+12t=62
Step-by-step explanation:
Given,
Amount spent by Art and his friends = $62
Cost of one ticket = $12
Cost of t tickets = 12t
Cost of one bucket of popcorn = $7
Cost of p buckets of popcorn =7p
According to given statement;
7p+12t=62
7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.
The right answer is Option B: 7p+12t=62
Keywords: addition, linear equation
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Answer:
The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.
Step-by-step explanation:
Since the x-axis is positive to the right, a positive leading coefficient (3) means it opens to the right. eg. And a negative leading coefficient (-2) means it opens to the left.
4(100)=400
400/1=400
You will need 400 stakes
Answer:
Step-by-step explanation:
1) As the sample size is 1,000 and there are 23 defectives in the output of the sample collected from Machine #1, the answer is 23/1000=0.023.
2) Estimate of the process proportion of defectives is the average of the proportion of defectives from all samples. In this case, it is : (23+15+29+13)/{4*(1000)}=80/4000=0.02.
3) Estimate of the Standard Deviation: Let us denote the mean (average) of the proportion of defectives by p. Then, the estimate for the standard deviation is : sqrt{p*(1 - p)/n}. Where n is the sample size. Putting p = 0.02, and n = 1000, we get: σ=0.0044.
4) The control Limits for this case, at Alpha risk of 0.05 (i.e. equivalent to 95% confidence interval), can be found out using the formulas given below:
Lower Control Limit : p - (1.96)*σ = 0.02 - (1.96)*0.0044=0.0113.
& Upper Control Limit: p + (1.96)*σ = 0.02 + (1.96)*0.0044 = 0.0287.
5) The proportion defective in each case is : Machine #1: 0.023; Machine #2: 0.015; Machine# 3: 0.029; Machine# 4: 0.013. For the Lower & Upper control limits of 0.014 & 0.026; It is easy to see that Machines #3 & #4 appear to be out of control.
Answer:
=20x2−1080x
Step-by-step explanation:
Because look =(4x)(5x+−270)
=(4x)(5x)+(4x)(−270) then you will get =20x2−1080x
