Answer:
1 D. 400 spins
2 C.4/20
3 A. 6/20
Step-by-step explanation:
1
The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.
2
Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20
C
Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20
Answer:
0.00324 kilometres
Step-by-step explanation:
Remember:
100 centimeters = 1 meter
1000 meters = 1 kilometer
So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!
Answer:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
_______
Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
