Answer:
m = -8
Step-by-step explanation:
Use the slope formula: 

m = -8
Answer:
Total material needed = 9.5 square feet
Step-by-step explanation:
Dimensions of I = 2. 5feet x 1 feet
Area = 2.5 square feet
Dimensions of S :
Top part = 1 feet x 1 feet
Area of top part = 1 square feet
Bottom part = 1 feet x 2.5 feet
Area of bottom part = 2.5 square feet
Total Area of S = 2.5 + 1 = 3.5 square feet
Total material needed = Area of I + Area of S + Area of S
= 2.5 + 3.5 + 3.5
= 9.5 square feet.
Answer:
A. {x: x ≥ -4}
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- {Builder Set Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3(2x - 1) - 11x ≤ -3x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
- [Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
- [Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
- [Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
- [Division Property of Equality] Divide 2 on both sides: -4 ≤ x
- Rewrite: x ≥ -4
Answer:
The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Step-by-step explanation:
Given
μ = Mean = 10.4 lb
σ = Standard deviation = 3 lb
Using a confidence level of 90%,
We'll need to first determine the z value that correspond with bottom 5% of consumption of banana
α = 5%
α = 0.05
So,
zα = z(0.05)
z(0.05) = -1.645 ----- From z table
Let x represent the largest annual per capita consumption of bananas
The relationship between x and z is
x = μ + zσ
By substitution;
x = 10.4 + (-1.645) * 3
x = 10.4 - 4.935
x = 5.465
Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Answer:
150 scores
Step-by-step explanation:
The computation of the score did she get is shown below:
Since there is 18 test presented
And if the test is done on correct manner so 10 points should be awarded
Now since fifth-sixth would be done correctly
So,
= 18 × 5 ÷ 6 × 10
= 150 scores