Answer:
Please refer to the image
Step-by-step explanation:
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
Step-by-step explanation:
Length = 5 cm and Breadth = 3 cm
Area of a rectangle = length × breadth
=(5×3) cm
2
=15 cm
2
Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm
To find the distance between two coordinates on a graph, use the Distance Formula: D = √((x₁ - x₂)² + (y₁ - y₂)²).
Our values for x₁, x₂, y₁, and y₂ will be replaced with the x- and y-values in the given coordinates, (5, 6) and (-4, -7).
Substitute.
√((x₁ - x₂)² + (y₁ - y₂)²)
√((-4 - 5)² + (-7 - 6)²)
Subtract.
√(-9² + (-13)²)
Square.
√(81 + 169)
Add.
√(250)
Simplify.
√(5² · 5 · 2)
√(5²)√(2 · 5)
5√(10) or approx 15.8114
Answer:
B. 15.81 units
Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
