Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
__
Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
_____
We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.
Answer:
area of figure= area of rectangle+area of semi-circle
area of rectangle= length ×width
5×4
= 20in²
area of semi circle= 1/2πr²
1/2×22/7×2×2
<u>2</u><u>2</u><u>×</u><u>2</u>
7
<u>4</u><u>4</u>
7
= 6.29in²
area of figure= 20+6.29
= 26.29in²
Answer:
Step-by-step explanation:
Given
-- proportion of baseball players
--- selected sample
Required
Determine P(p>43%)
First, calculate the z score using:
This gives:
Convert % to decimal
So:
<u>End behavior: </u>
The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.
<u>Zeroes:</u>
f(x) = x³ + 2x² - 8x
0 = x³ + 2x² - 8x
0 = x(x² + 2x - 8)
0 = x(x + 4)(x - 2)
0 = x 0 = x + 4 0 = x - 2
x = 0 x = -4 x = 2
<u>Intervals:</u>
Put the zeroes in order: -4, 0, 2
since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.
<u>Graph:</u>
see attachment
Two out of four can be represented as:
2/4
OR
1/2
