Answer:
(-7, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
5x - 9y = -26
-2x + 3y = 11
<u>Step 2: Rewrite Systems</u>
-2x + 3y = 11
- Multiply everything by 3: -6x + 9y = 33
<u>Step 3: Redefine Systems</u>
5x - 9y = -26
-6x + 9y = 33
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -x = 7
- Divide -1 on both sides: x = -7
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5x - 9y = -26
- Substitute in <em>x</em>: 5(-7) - 9y = -26
- Multiply: -35 - 9y = -26
- Add 35 on both sides: -9y = 9
- Divide -9 on both sides: y = -1
Answer:
21 Sunday and 42 Saturday
Step-by-step explanation:
21 × 2= 42
21+42=63
Answer:
228 cookies wil be rejected in a 5,000 count batch of cookies.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Proportion of rejected cookies.
Less than 39:
pvalue of Z when X = 39.
has a pvalue of 0.0228.
More than 45:
1 subtracted by the pvalue of Z when X = 45.
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Total:
2*0.0228 = 0.0456
How many cookies wil be rejected in a 5,000 count batch of cookies?
The proportion of cookies rejected is 0.0456. Out of 5000:
0.0456*5000 = 228
228 cookies wil be rejected in a 5,000 count batch of cookies.
Answer:
14×4+21×2+28=126
Step-by-step explanation:
correct me if I'm wrong
