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madam [21]
3 years ago
12

A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. Th

is takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.
Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

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Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct
Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

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b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

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b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

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