Answer:
0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.
The sketch is drawn at the end.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 0°C and a standard deviation of 1.00°C.
This means that 
Find the probability that a randomly selected thermometer reads between −2.23 and −1.69
This is the p-value of Z when X = -1.69 subtracted by the p-value of Z when X = -2.23.
X = -1.69



has a p-value of 0.0455
X = -2.23



has a p-value of 0.0129
0.0455 - 0.0129 = 0.0326
0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.
Sketch:
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
X - y = 9
x + 2y = 27
You can subtract the top equation from the bottom
3y = 18
y = 6
x = 15
The two numbers are 15 and 6
Answer:
y = -3x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
x-intercept (-2, 0)
y-intercept (0, -6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Divide:

<u>Step 3: Redefine</u>
Slope <em>m</em> = -3
y-intercept <em>b</em> = -6
<u>Step 4: Write linear equation</u>
Slope-Intercept Form: y = -3x - 6
Answer:
12
Step-by-step explanation:
17 + (-5) =
17 - 5 = 12
This the explanation