Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
Answer:
its just 3 times 7 i think
Step-by-step explanation:
Answer:
20 :)
Step-by-step explanation:
as you can see it goes 8,10,12,14,16,20
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Here are the completed tables
Gallons Quart
1 4
2 8
5 20
7 28
Quart Pint
1 2
3 6
6 12
8 16
Pint Cup
1 2
3 6
5 10
9 18
The capacity of the objects are:
Swimming pool - 5000 gallons
Watering can - 8 quarts
Juice box - 2 pints
Soup bowl - 2 cups
The measurement from least to greatest is: 6 pints, 2 galloons, 18 cups, 6 quart.
<h3>How would the tables be filled?</h3>
In order to fill the tables, the unit of conversion has to be known:
1 gallon = 4 quart
- 2 gallon = 2 x 4 = 8 quarts
- 5 gallons : 5 x 4 = 20 quarts
- 7 gallons: 7 x 4 = 28 quarts
1 quart = 2 pints
6 pint / 2 = 3 quarts
12 / 2 = 6 quarts
8 x 2 = 16 pints
<h3>
How to order the measurment from least to largest?</h3>
In order to order the measurement, all the measurements have to be in the same units. All the units would be converted to cups
1 quart = 4 cups
4 x 6 = 24 cups
1 galloon = 16 cups
16 x 2 = 32 cups
1 pint = 2 cups
6 x 2 = 12 cups
To learn how to convert units, please check: brainly.com/question/25993533
