Let two base numbers that is any of the digit from [0-9] be x and y.
It is given that, the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
→xy=2×(x+y)
There are two variables in the equation , and there is only one equation.So, we have to use Hit and Trial method to evaluate the value of x and y.
→ 0≤ x≤9 and 0≤ y≤9
⇒ Integral Solution of the above equation can be evaluated by drawing the graph (Drawn the graph using Desmos)
1.⇒ x=4 and , y=4.
2.⇒ x=6 and y=3
3.⇒x=3 and y=6
4.⇒x=0 and y=0
Answer:
Step-by-step explanation:
Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.
Sample size = n =100
x bar = 24.85 pounds
Sample std error =
Hypotheses:
(Two tailed test at 5% level)
Mean difference =0.15
Test statistic = mean diff/se = 3
Since population std dev is known z test can be used
p value =0.0000
Since p <0.05 we find that the bag does not contain exactly 25 pounds.
Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
= - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = = 24 m
Height of the cone = 18 m
Volume of a cone is given as
=
=
=
Hence among the given options, option D is the correct one.