Answer:
29 degrees
Step-by-step explanation:
x + 61 = 90
x = 90 - 61
x = 29
The relative frequencies for the given table are:
- Male → 13/44
- Female → 17/86
- Adult → 29/86
- Baby → 7/43
<h3>
How to get the relative frequencies?</h3>
The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.
Here we can see that the total number of moose is:
52 + 34 + 58 + 28 = 172
There are 52 male moose, then the relative frequency for male moose is:
M = 52/172 = 26/86 = 13/44
There are 34 female moose, then the relative frequency is:
F = 34/172 = 17/86
There are 58 adult moose, so the relative frequency is:
A = 58/172 = 29/86
There are 28 baby moose, so the relative frequency is:
B = 28/172 = 14/86 = 7/43
If you want to learn more about relative frequency:
brainly.com/question/3857836
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Answer:
The concentration of the drug is 5ug/uL
Step-by-step explanation:
The first step of the problem is the conversion of the quantities of the drug in mg and mL to ug and uL.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: Conversion of 125mg to ug
Each mg has 1,000ug. So:
1mg - 1,000ug
125mg - xug
x = 1,000*125
x = 125,000 ug
Second step: Conversion of 25 mL to uL
Each mL has 1,000uL. So:
1mL - 1,000uL
25mL - x uL
x = 25*1,000
x = 25,000uL
Concentration:
The concentration of the drug is 5ug/uL
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
