There are 400 candies in the machine.
Step-by-step explanation:
Given,
Number of red candies in machine = 104
This represents 26% of the total candies.
Let,
x be the total candies in the machine.
According to statement;
26% of x = 104
Dividing both sides by 0.26
There are 400 candies in the machine.
Keywords: percentage, division
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Answer:
D
Step-by-step explanation:
Since they are the same variables
Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
Answer:it is only (x,y) -> (3x, 3y)
Step-by-step explanation: I just took the test and got it right,, hope it helped :)
- Yes, this linear equation is correct on point (0,-2).
Given that:
x - 5y = 10;
(0, -2)
To find
- We have to prove LHS = RHS
So, according to the question
We have,
The linear equation,
x - 5y = 10; and point is (0,-2)
From equation,
x - 5y = 10
Take the left part of given linear equation,
LHS = x - 5y
Now, putting the values, x = 0 and y = -2.
Then, we will be get.
= x - 5y
= (0) - 5 ×(-2)
= - 5 × -2
= 10.
So, we can say that
LHS = RHS.
Where,
LHS = Left Hand Side.
RHS = Right Hand Side.
We can solve that linear equation in other way,
When we put x = 0, we get y = -2.
So, if we put x = 1, we get y = -9/5.
Similarly, if x = 2, then y = -8/5.
Now, we can say that points (0,-2), (1,-9/5) and (2,-8/5) are lie in the linear equation x - 5y = 10.
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