Answer:
y + 7 = -1/4(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = -1/4
Point (4, -7)
<u>Step 2: Write Function</u>
y + 7 = -1/4(x - 4)
Answer: 40%
Step-by-step explanation:
Setting up an equation to solve,
25 as the denominator representing the total number of baseball games played to represent the "whole."
10 as the numerator representing the number of games the baseball games won to represent the "part" you want to calculate as a percentage.
The equation, looking like this,
10/25 = ___
after calculating the equation you get 2/5 as reduced, evaluating that in terms of percentage you get 40% as 5 represents 100% (the whole) and 2 representing 40% (the number of baseball games won)
Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226
