Answer: The expression that represents the area of Mary's new garden =2x^2
Step-by-step explanation:
The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x
Area = x × x
Area = x^2
She decided to double the area of her garden
New area = 2(x × x)
New area = 2x^2
The expression that represents the area of Mary's new garden =2x^2
Answer:
a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).
b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.
Step-by-step explanation:
Number of questions in the examination = 10
Probability of A's answer being correct = 0.7
Probability of B's answer being correct = 0.4
The expected number of questions that are answered correctly by both A and B:
Probability of Expected
Correct Answer Value Variance
A 0.7 7 (0.7 * 10) 2.25
B 0.4 4 (0.4 * 10) 2.25
Total expected value = 11
Mean = 5.5 2.25
Answer:
I suppose it should be
6b² and (6b²)²
or
6b² and 36
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
therefore
(6b²+2a)² = (6b²)² + 12ab² + 4a²
Answer:


And the answer for this case would be :
after round the value
Step-by-step explanation:
We have the following data set given:
31, 33, 36, 41, 34
If we want to find the standard deviation we need to find first the sample mean with this formula:

And replacing we got:

Now we can find the sampel deviation with this formula:

And replacing we got:

And the answer for this case would be :
after round the value
The question is missing the figure. So, the figure is attached below.
Answer:
C. 350 m
Step-by-step explanation:
Given:
Scale is given as:
1 unit : 25 meters
This means that 1 unit on the grid is equivalent to 25 meters in actual.
Now, from the figure, the horizontal distance across the park is 14 units.
1 unit = 25 meter
Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.
∴ 14 units =
meters.
Therefore, the horizontal distance across the park is 350 m in actual.
So, the correct option is option C.