Answer:
(a) 7 + 3( n - 1 )
(b) 1006
Step-by-step explanation:
ARITHMETIC SEQUENCE.
The number of term of an Arithmetic progression has the formular :
nth term = a + ( n - 1 ) d
a = 7
d = 10 - 7 = 3
nth term = 7 + ( n - 1 ) 3
= 7 + 3n - 3
= 7 + 3( n - 1 )
Therefore,
the nth term of the sequence
= 7 + 3( n - 1 )
(b) For the 1000th term
= 7 + 3 ( 1000-1 )
= 7 + ( 999 )
7 + 999 = 1006
Therefore,
the 1000th term = 1006
9514 1404 393
Answer:
1/3, 0.5, 4/6, 4/5
Step-by-step explanation:
For the same numerator, the fraction with the larger denominator is the smaller fraction.
0.5 = 1/2
So, we have two fractions with numerators of 1, and two fractions with numerators of 4. The smaller fraction with a numerator of 4 has a numerator that is more than half the denominator, so its value is more than 1/2.
The least-to-greatest order is ...
1/3, 1/2, 4/6, 4/5
In the original number format, this is ...
1/3, 0.5, 4/6, 4/5
Answer:
x=18/5
Step-by-step explanation:
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 24
The mean is 
The standard deviation is 
Generally the probability that a randomly chosen student earned a B or higher on the test (score of 80 or higher ) is mathematically represented as
=> 
From the z table the area under the normal curve to the right corresponding to -0.225 is
=>
Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
