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:
<A = 35degrees
<B =90degrees
<C = 55degrees
Step-by-step explanation:
Given the ratios of a triangle as 7:18:11
Total ratio = 7+18+11
Total ratio = 36
Since the smallest angle is 35degrees, hence <A = 35degrees
Get angle B;
<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)
<B = 1/2 * 180
<B = 90degrees
Get angle C;
<C = 11/36 * 180
<C = 11 * 5
<C = 55degrees
Hence the value of A, B and C are 35, 90 and 55 degrees repectively
The correct answer is :85
You can find this out because you would count by fives so : 5, 10, 15, 20, 25 so there are 25 volunteers in the 11-15 hours worked so you would add that to the 21-25 also known as 10 hours worked you also have to add 16-20 also known as 50 so add all that and you get 50 + 25 + 10 = 85
So it's 85
I hope this helped! =)
Answer:
7x+ 5y <= 10
Step-by-step explanation:
As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.
It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.
On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.
Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is
7x+ 5y <= 10
Answer:
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Step-by-step explanation:
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