-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4
we observe that the number are in AP
of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________
the correct answer = B
Answer:
1) 2/7
2) 8/11
3) 3/2 or 1 1/2
4) 32/35
Step-by-step explanation:
1.5/7•14/35
= 5/7 × 14/35
Using Cancellation method
= 1/1 × 2/7
= 2/7
2.[4/5][10/11]
= 4/5 × 10/11
Using Cancellation method
= 4/1 × 2/11
= 8/11
3.8 3/4 multiplied by 2/9
= 8 3/4 × 2/9
= 27/4 × 2/9
= 3/2 × 1/1
= 3/2
= 1 1/2
4. [4/5]10/11][7/8]
40/50 ÷ 77/88
= 40/50 × 88/77
= 40/50 × 8/7
= 40/25 × 4/7
= 8/5 × 4/7
= 32/35
Answer:
27 hours
Step-by-step explanation:
The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840
To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr
X hours multiplied by rate of $31.5/hr should be at least equal to $840
31.5x>=840
X>=840/31.5>=26.6667 hours and when rounded off
X is 27 hours
Answer:
There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz
Step-by-step explanation:
The hypothesis for the test above will be stated as follows :
The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis
H0 : μ < 14
H1 : μ ≥ 14
If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;
Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.
