Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
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,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
Answer:
28 pizzas eaten
Step-by-step explanation:
1) estimate each number, i will take 3 1/4 as 3
5 3/4 as 6
and
2 3/4 as 3
2) combine the total number of pizzas left over:
3+6+3=12
subtract the number of pizzas left over from the total ordered:
40-12=28
Answer:
x=60
Step-by-step explanation:
We have, 15% × x = 9
or,
15
100
× x = 9
Multiplying both sides by 100 and dividing both sides by 15,
we have x = 9 ×
100
15
x = 60
If you are using a calculator, simply enter 9×100÷15, which will give you the answer.
Answer:
Ok so you have to figure out what is the input, output, y-intercept (b), slope (m), and equation.
First, input is the x. Looking at the graph.
Input : 0, 10, 20
Second, output is the y. Looking at the graph.
Output : 20, 30, 40
Third, y-intercept is the b in the equation of y = mx + b. Looking at the graph.
Y-intercept (b) : 20
Fourth, slope is the m in the equation of y = mx + b. Looking at the graph.
Slope (m) : 1/2
Fifth, you have to find the equation in the form of y = mx + b. Looking at the graph.
Equation : y = 1/2x + 20
I hope this helps and if you have any other questions I would be glad to answer it, thank you :) !!
Given:
In the circle P, ABCD is inscribed quadrilateral.
And, ∠DAB = 110°, ∠ABC = 72°
To find the value of ∠ADC.
Theorem:
A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary [ sum of the opposite angles will be 180°]
According to the theorem,
Hence,
The value of ∠ADC is 108°.
Hence, Option b is the correct answer.
