9 The heights of 120 pivot blocks were measured: Height x (mm) 29-4 29-5 29-6 29-7 29-8 29-9 Frequency f 6 25 34 32 18 5 (a) Calculate (i) the mean height and (ii) the standard deviation. (b) For a batch of 2500 such blocks, calculate (i) the limits between which all the heights are likely to lie and (ii) the number of blocks with height greater than 29-52 mm.
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
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![10 A machine is set to produce bolts of nominal diameter 25-0 mm.
Measurement of the diameters of 60 bolts gave the following frequency
distribution:
Diameter x (mm) 23-3-23-7
23-8–24-2
24-3-24-7
24-8-25-2
Frequency f
2
4
10
17
Diameter x (mm)
25-3–25-7
25-8-26-2
26-3-26-7
Frequency f
16
8
3
(a) Calculate (i) the mean diameter and (ii) the standard deviation from
the mean.
(b) For a full run of 3000, calculate (i) the limits between which all the
diameters are likely to lie, (ii) the number of bolts with diameters less
than 24-45 mm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa946bf-faac-440b-977b-863495987ba7%2F39daab91-8f57-46f3-892b-ff51e1882b8e%2Fvoch6rz_processed.png&w=3840&q=75)
![9 The heights of 120 pivot blocks were measured:
Height x (mm)
29.4
29-5
29-6 29-7
29-8
29.9
Frequency f
6
25
34
32
18
5
(a) Calculate (i) the mean height and (ii) the standard deviation.
(b) For a batch of 2500 such blocks, calculate (i) the limits between which
all the heights are likely to lie and (ii) the number of blocks with
height greater than 29-52 mm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa946bf-faac-440b-977b-863495987ba7%2F39daab91-8f57-46f3-892b-ff51e1882b8e%2F5x1321_processed.png&w=3840&q=75)
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