Answer:
10 and 11
Step-by-step explanation:
Let the first integer be x.
Then the next one, since it's consecutive, must be (x+1).
The two equals 21. Thus:

Combine like terms:

Subtract 1 from both sides:

Divide both sides by 2:

So, the first integer is 10.
And the second integer is 10+1=11.
Answer:

Step-by-step explanation:

Answer:
using PEMDAS
Step-by-step explanation:
P parenthesis
E exponents
M multiplication
D division
A addition
S subtraction
The area of the rectangle is
units.
Step-by-step explanation:
Step 1:
The area of a rectangle is obtained by multiplying the length with the width of the rectangle.
Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of
,
, and -6.
So the length of the rectangle = 5 units and
the width of the rectangle
units.
The area of a rectangle = (length)(width).
Step 2:
By substituting the known values, we get
The area of the rectangle 
So the area of the rectangle is
units.
Answer:
z(c) = - 1,64
We reject the null hypothesis
Step-by-step explanation:
We need to solve a proportion test ( one tail-test ) left test
Normal distribution
p₀ = 63 %
proportion size p = 51 %
sample size n = 114
At 5% level of significance α = 0,05, and with this value we find in z- table z score of z(c) = 1,64 ( critical value )
Test of proportion:
H₀ Null Hypothesis p = p₀
Hₐ Alternate Hypothesis p < p₀
We now compute z(s) as:
z(s) = ( p - p₀ ) / √ p₀q₀/n
z(s) =( 0,51 - 0,63) / √0,63*0,37/114
z(s) = - 0,12 / 0,045
z(s) = - 2,66
We compare z(s) and z(c)
z(s) < z(c) - 2,66 < -1,64
Therefore as z(s) < z(c) z(s) is in the rejection zone we reject the null hypothesis