Answer:
x = -17/4
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>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3x + 5(2 + x) = 4x - 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
- [Addition] Combine like terms: 8x + 10 = 4x - 7
- [Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
- [Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
- [Division Property of Equality] Divide 4 on both sides: x = -17/4
The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.
Answer:
Step-by-step explanation:
using the formula below, the central angle is 20° (bc 360-180-160=20)
radius is 14 (28/2=14)
Step-by-step explanation:
The formula for a parallelogram is A=Base x Height
So you multiply the base, which is 6, and the height, which is 4.
A=6x4
Hope it helps!
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
b). When the value of
Test statics :
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.