Answer:
Step-by-step explanation:
All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get
Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get
The undoing of a square is to take the square root, so we will do that to both sides giving us, finally
Answer:
Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
<u>First, switch sides.</u>
Use the distributive property.
<u>DISTRIBUTIVE PROPERTY:</u>
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
- <u>Therefore, the correct answer is y=7/2.</u>
I hope this helps. Let me know if you have any questions.
Answer:
the answer is x = 7
Step-by-step explanation:
1) replace the x with 7
2) 7 + 16 = 23
3) 4(7) = 28
4) 28 - 5 = 23
they're both equal as perpendicular angles should be!
Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Answer:
By the Empirical Rule, 68% of IQ scores are between 87 and 121
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 104
Standard deviation = 17
Using the empirical rule, what percentage of IQ scores are between 87 and 121
87 = 104 - 1*17
So 87 is one standard deviation below the mean
121 = 104 + 1*17
So 121 is one standard deviation above the mean
By the Empirical Rule, 68% of IQ scores are between 87 and 121
