Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
Step-by-step explanation:
Let n = 1st number
n+2 2nd even number
n+4 = 3rd even number
The sum of these 3 numbers is
n+n+2+n+4
It must be between 84 and 96 (it does not include this 84 and 96)
84< n+n+2+n+4 < 96
Now we need to solve this
Combine like terms
84 < 3n +6< 96
Subtract 6 from all sides
84 -6 < 3n+6-6 < 96 -6
78 < 3n < 90
Divide all sides by 3
78/3 < 3n/3 < 90/3
26 < n< 30
Answer:
1926cm²
Step-by-step explanation:
Given
Dimension = 21cm by 18cn by 15cm
<em>The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:</em>
<em></em>

Where L, B and H are the dimensions.
So,





<em>Hence, 1926 cm² of fabrics are needed to cover all surfaces.</em>
Answer:
probability at least one zero is 0.3439
Step-by-step explanation:
given data
last four digits = randomly selected
to find out
probability that for one such phone number the last four digits include at least one 0.
solution
we know there are total 10 digit
so we first find probability of non zero digit i.e.
Probability ( non zero ) = 9 /10 = 0.9
and now we find probability of none of digit zero only event happen n= 4 time in a row by multiplication rules i.e
Probability ( none zero in 4 digit ) = 
Probability ( none zero in 4 digit ) = 
Probability ( none zero in 4 digit ) = 0.6561
so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )
probability at least one zero = 1 - 0.6561
probability at least one zero is 0.3439
Answer:
B.2
Step-by-step explanation:
To make ΔA'B'C' from ΔABC, we need to use t
he scale factor =|A'B'|/|AB|=10/5=2
Answer:
D.
Step-by-step explanation:
h(x)=f(x)g(x) means multiply the expression for f to the expression for g.
That is the problem is just asking you to do (11x-5)(-2x-4).
Let's use foil.
First: 11x(-2x)=-22x^2
Outer: 11x(-4)=-44x
Inner: -5(-2x)=10x
Last: -5(-4)=20
------------------------Add together!
-22x^2-34x+20
D.