Answer:
x = 32
Step-by-step explanation:
Each angle of the equilateral triangle is 60°.
(2x -4)° = 60°
x -2 = 30 . . . . . . divide by 2°
x = 32
__
5y° = 60°
y = 12 . . . . . . . . . divide by 5°
Answer:

Step-by-step explanation:
Answer:
800 mg
Step-by-step explanation:
As the excerpt states that the client weights 176 pounds and is to receive cyclophosphamide (Cytoxan) 50 mg/kg, we have to convert 176 pounds to kg:
1 kg → 2.20 pounds
x ← 176 pounds
x= (176 pounds * 1 kg)/2.20 pounds= 80 kg
Now, we have to determine the total amount of cyclophosphamide (Cytoxan) that the client has to receive:
50 mg/kg
For 80 kg: 80 kg *50 mg/kg= 4,000 mg
As the dose is divided over 5 days:
4,000 mg / 5= 800 mg
The client will receive 800 mg of cyclophosphamide each day.
Answer:
- <u>The correct statement is the first one: </u><u><em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean</em></u><em> </em>
<em />
Explanation:
To calculate how many<em> standard deviations</em> a particular value in a group is from the mean, you can use the z-score:

Where:
is the number of standard deviations the value of x is from the mean
is the mean
is the standard deviation
Substitute in the formula:

Which means that <em>the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations</em> above the mean.
Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.
Therefore, the correct statement is the first one: <em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean, </em>
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign