221.57
Explanation:
To round to the nearest tenth you would would look at the hundredths place. If it is higher than 5 you round the number in the tenth place up if it is lower than 5 you keep it the number in the tenth place the same. In this case you have 2 which is lower than 5 so you keep the 7 the same and bring everything else down.
Answer:
a. 0.5
Step-by-step explanation:
We know that X follows normal distribution with
mean=75
standard deviation=8


P(0<Z<∞)
The area under the normal curve is 1 and the (0<Z<∞) =0.5 and (-∞<Z<0) =0.5
So, P(0<Z<∞)=0.5
Hence the P(X ≥ 75)=0.5
Answer:
-0.39 and 3.89
Step-by-step explanation:
By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.
When you do the math of both of the equations it will give you the answers above
Answer:
The number of possible color combinations that she can make = 6
Step-by-step explanation:
The number of available colors = 3
The question states that Maria only uses a color on each shape at a time,
The number of possible color combinations that she can make = 3!
n! = n*(n -1)*(n-2)*......*1
3! = 3 * 2 * 1
3! = 6 combinations
The number of possible color combinations that she can make = 6
Answer:
The correct order that the machines should be stacked so that when 15 dropped into the first machine, and all four machines have had their effect, the last machine's output is -6 can be written as follows;
4th machine → 2nd machine → 1st machine → 3rd machine
Step-by-step explanation:
Given that the initial input is 15 and the final output is -6, we have;
For the fourth machine;
y = -2·x + 34 = -2×15 + 34 = 4
The output is 4
Next to the second machine
y = (x - 2)²
The input is x = 4, therefore;
y = (4 - 2)² = 2² = 4
The output is 4
Next to the first machine

The input, x = 4, therefore;

The output is -12
Next to the third machine
y = -x/3 -10
The input is x = -12, therefore;
y = -(-12)/3 -10 = 12/3 -10 = 4 - 10 = -6
The output is -6.
Therefore, the correct order that the machines should be stacked so that when 15 dropped into the first machine, and all four machines have had their effect, the last machine's output is -6 can be written as follows;
4th → 2nd → 1st → 3rd