Answer:
The probability is 10/121
Step-by-step explanation:
In this question, we are tasked with calculating probability.
The probability to be calculated is that we have an ordered selection of picking a red marble after which we pick a yellow marble.
Firstly let us know the total number of marbles we have. That will be 4 + 5 + 2 = 11 marbles
Probability of picking a red marble will be 5/11 while the probability of picking a yellow marble will be 2/11
Now, the probability of picking a red marble before a yellow marble will be mathematically equal to; P(r) * P(y) = 5/11 * 2/11 = 10/121
-1<span> ≤ r/3
-1 </span><span> ≤ (r</span><span>÷3)
(r</span>÷3) <span>≥ -1
r/3 </span><span>≥ -1 </span>
Answer:Solution:
Let starting map of youth center has Dimension (Preimage)
1 unit of y= k units
1 unit of x = t units
The new map of youth center which is 3 times larger than original(Image)
1 unit of y= 3 k units
1 unit of x = 3 t units
Image = 3 × Pre- image
The image is larger than Pre- image.
So, Scale of the new map = 3 × The original dimension of map.
Step-by-step explanation:
Answer:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by
Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be
So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation
When converting to centimeters
Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by
where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters
Hence, the z score would remain the same
