Order of operations tells you what to do in which order when you have a bunch of different operators. the abbreviation is PEMDAS, which stands for the order:
1. parentheses
2. exponents
3. multiplication
4. division
5. addition
6. subtraction
Answer:
$54 = 71%, $22 = 29%
Step-by-step explanation:
54+22=76
54/76 = 0.7105
22/76 = 0.2894
Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
Answer:
0.588
Step-by-step explanation:
By law of large number, the probability of the mean of 30 boards sample would be the same as 1 sample being between 94.8 in and 95.8 in within a normal distribution with mean 95 and standard deviation of 0.52. We can calculate this probability by subtracting the cumulative probability of 94.8 from the cumulative probability of 95.8 in.
P(94.8<x<95.8) = P(x < 95.8) - P(x < 94.8) = 0.938 - 0.35 = 0.588
Cost of the spa treatment = $42
Percentage of sales tax = 6%
Percentage of tips = 20%
Normally the tips amount is calculated before adding sales tax.
Then
Amount of tips given = (20/100) * 42
= (1/5) * 42
= 8.40 dollars
Amount of sales tax taken = (6/100) * 42
= 252/100
= 2.52 dollars
Then
The total amount spent for spa treatment = (42 + 8.40 + 2.52) dollars
= 52.92 dollars
So we can see that $52.92 has been spent in total for spa treatment and this amount includes a sales tax of $2.52 and a tip of $8.40.