Answer:
2/7 and 1/2
The common denominator = 7× 2
= 14
Step-by-step explanation:
Answer:
The numbers; 19.0 , 19.00 and 19.000 are same value as the number 19
Step-by-step explanation:
Here in this question, we simply want to write decimals which would have same value as the number 19 when written.
Let’s start with 19.0
This is absolutely same value as the number 19
Furthermore let’s write 19.00
This is also same value as the number 19
Lastly;
19.000
This is same value as the number 19
Answer:
x = 18 , y = 45
Step-by-step explanation:
The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.
Same- side interior angles sum to 180° , then
6x + 7 + 4x - 7 = 180 , that is
10x = 180 ( divide both sides by 10 )
x = 18
Then
6x + 7 = 6(18) + 7 = 108 + 7 = 115
6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so
3y - 20 = 115 ( add 20 to both sides )
3y = 135 ( divide both sides by 3 )
y = 45
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
z score Perry 
z score Alice 
Alice had better year in comparison with Perry.
Step-by-step explanation:
Consider the provided information.
One year Perry had the lowest ERA of any male pitcher at his school, with an ERA of 3.02. For the males, the mean ERA was 4.206 and the standard deviation was 0.846.
To find z score use the formula.
Here μ=4.206 and σ=0.846
Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the females, the mean ERA was 4.519 and the standard deviation was 0.789.
Find the z score
where μ=4.519 and σ=0.789
The Perry had an ERA with a z-score is –1.402. The Alice had an ERA with a z-score is –1.722.
It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.
