Answer:B
Step-by-step explanation:
Just did it on math nation
Answer:
Answer for #10:

Answer for #1:

Step-by-step explanation:
In order to solve a simultaneous equation using the substitution method you have to:
Use one of the equation and substitute it into the other equation, in this case equation <em>B</em><em> </em>was substituted into equation <em>A</em><em>.</em>
<em>
</em>
Therefore since x = 1 - y, equation A would be:

Answer:
D
Step-by-step explanation:
Use the distance formula to find all of the sides.
Then add them together
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Answer: x=0
Step-by-step explanation:
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7×4x−5×3x=5×4x+5×5x
Multiply 7 and 4 to get 28.
28x−5×3x=5×4x+5×5x
Multiply −5 and 3 to get −15.
28x−15x=5×4x+5×5x
Combine 28x and −15x to get 13x.
13x=20x+25x
Combine 20x and 25x to get 45x.
13x=45x
Subtract 45x from both sides
13x−45x=0
Combine 13x and −45x to get −32x
−32x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.
X=0