Answer:
-1 5/6
Step-by-step explanation:
-2/3 + (-1 1/6)
Look carefully at he number line. Each space between whole numbers is divided into 6. That means that from one mark on the line to the very next one, the distance is 1/6.
Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.
-2/3 * 2/2 = -4/6
-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.
Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.
Answer: -2/3 + (-1 1/6) = -1 5/6
Answer:
68 %
Step-by-step explanation:
Let's call X to the random variable ''lengths of a lawn mower part''.
X ~ N(given mean;standard deviation)
X ~ N(4 in;0.2 in)
To find the percentage,first we are going to turn this random variable X into a random variable Z. Z will be a N(0;1)
We do this by subtracting the given mean to the original variable and dividing by it deviation.
P (3.8 in < X < 4.2 in) =
P [(3.8 in - 4 in) / (0.2 in)] < [(X - 4 in)] / (0.2 in) < [(4.2 in - 4 in) / (0.2 in)]
P ( -1 < Z < 1 ) = P (Z < 1) - P (Z< -1)
Where we can find P (Z < 1) and P (Z< -1) in any table of a N(0;1)
P (Z < 1) - P (Z< -1) = 0.8413 - 0.1587 = 0.6826 = 68%
Answer:
Δ ABC
1) =∠3+∠4 and ∠4=∠5+∠6
∠7=∠3+∠2
So, only D) m∠7=m∠3+m∠2 is correct
<u>---------------------------</u>
<u>hope it helps..</u>
<u>have a great day!!</u>
So, we need to find out how many 8 cups is converted to quarts.
1 cup = 0.25 quart
Now that we know the 1 cup equals 0.25 quarts, we can multiply how many cups by the amount of one cup.
8 (cups of water) × 0.25 (equal of one cup) = 2 quarts
Julia drinks <span>2 quart</span>s of water per day.
5/6 because there are 5 possible possibilities and 6 numbers on the dice I'm assuming that the dice has 6 faces.