Answer:
x=65
Step-by-step explanation:
Step 1: Add -3 to both sides.
√x−1+3+−3=11+−3
√x−1=8
Step 2: Solve Square Root.
√x−1=8
x−1=82(Square both sides)
x−1=64
x−1+1=64+1(Add 1 to both sides)
x=65
Check answers. (Plug them in to make sure they work.)
x=65(Works in original equation)
Answer:
z-score = 1
Step-by-step explanation:
Given
Mean= μ=240
SD= σ=32
In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.
The formula for z-score is:
z-score=(x-μ)/σ
Here x is the value whose z-score is to be found.
In the given question, x = 272
So,
z-score=(272-240)/32
=32/32
=1
So , the z-score for 272 is 1..
The fractions which cannbe formed are: 2/3, 3/2, 2/5, 5/2, 3/5 and 5/3.
Now, we find the products with the third number:
2/3*5= 10/3 = 3.33 > 2
3/2*5 = 15 >2= 7.5 > 2
2/5*3= 6/5 (rejected)
5/2*3 = 15/2 > 2
3/5*2= 6/5 (rejected)
5/3*2 = 15/2 = 7.5> 2
for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length
Answer:
Solutions:-5,0,9,6
Not solutions: 12.5,10
Explanation:
The inequality that was given is:
20 > 5 + 3x
First, group similar terms;
20 - 5 < 3x
15 < 3x
x = 5
Thus, the solutions are:-3.5, 5, 4 3/4, -15
The not solutions are:-10 2/3, 129,
Hope this helps! :)
