Answer:
<u>1. The theoretical probability of rolling an even number and flipping heads is 25%.</u>
<u>2. The experimental probability of rolling a 1 and flipping tails is 15%.</u>
<u>3. The experimental probability of flipping heads is 40%.</u>
<u>4. I think around 7%.</u>
<u>5. I would expect to roll 3 and land on heads 8 times.</u>
Step-by-step explanation:
I am not sure about number 4.
Have a nice day!
Ask me if you need my work. :-)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = 
= 
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = 
+ c ⇒ c = - 3 - = - 
y = x - ← equation of line
Answer:
4
Step-by-step explanation:
If you increase the scale factor by 4, the sides become:
L= 2×4 = 8
W= 3×4 = 12
Now to find the new area:
<u>8 × 12</u> = 96cm^2
<u>So, a scale factor of </u><u>4</u> would give the rectangle a scale factor of <u>96</u>.
<u>Hope this helps and have a nice day!</u>
Answer:
1/4x (8 x - 15)
Step-by-step explanation:
write the division as a fraction
1/2x + 3/2x (x - 5 ÷ 2)
factor out 1/2 from the expression.
1/2x(x + 3(x - 5 ÷ 2))
divide the numbers.
1/2x(x + 3(x - 2.5))
distribute 3 through the parentheses.
1/2x(x + 3x - 7.5)
collect like terms.
1/2x(4x - 7.5)
1/2x(4x - 15/2)
factor out 1/2 from the expression.
1/2 x 1/2 x (8 x - 15)
multiply the fractions
= 1/4 x (8x - 15)
or alternative form
= 0.25(8x - 15)
Answer:
127
Step-by-step explanation:
15+38+a=180
a= 127
