Answer:
The slope <em>m</em> is 1.9 and the y-intercept <em>b</em> is 2.5.
Step-by-step explanation:
This is in slope-intercept form, y=<em>m</em>x+<em>b</em>, where <em>m</em> is slope and <em>b</em> is the y-intercept.
y = 1.9x + 2.5 means that <em>m </em>is 1.9 and <em>b</em> is 2.5.
Answer:
Last one:
The probability of the spinner not landing on A and rolling a prime number is 1/3
Step-by-step explanation:
The probability of the spinner not landing on A: 2/3
Prime outcomes on a dice:
2, 3, 5
The probability of rolling a prime number: 3/6 = 1/2
The probability of the spinner not landing on A and rolling a prime number is:
2/3 × 1/2
1/3
<u>I believe I have to calculate the area of the shape. I'll do that.</u>
Answer:
<em>Total area = 23.04 square m</em>
Step-by-step explanation:
<u>Area of a compound shape</u>
The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.
The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m
The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:
A1 = 5.2 m * 3.2 m = 16.64 square m
A2 = 2 m * 3.2 m = 6.4 square m
The total area is:
At = 16.64 square m + 6.4 square m = 23.04 square m
Total area = 23.04 square m
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• 
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ = 
, then
a₁
= → (2)
Divide (2) by (1)
= 
= 
Hence r = ![\sqrt[4]{\frac{1}{81} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B1%7D%7B81%7D%20%7D)
= 
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × 
= 24, hence
a₁ = 24 × 27 = 648
