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jeka94
2 years ago
13

In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev

iation of that data set?
Mathematics
1 answer:
tresset_1 [31]2 years ago
6 0

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

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1 year ago
Rectangular arrays whose dimensions are whole numbers can be used to illustrate the factors of a number. What can be said about
natali 33 [55]

Answer:

Step-by-step explanation:

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R1: a=1,b=6; R2: a=2,b=3; R3: a=3, b=2; R4: a=6,b=1. Each rectangular has the same area, 6.

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6 0
2 years ago
Logistic regression is used when you want to: Answer choices A. Predict a dichotomous variable from continuous or dichotomous va
masya89 [10]

Answer:

A. Predict a dichotomous variable from continuous or dichotomous variables.

Step-by-step explanation:

Logistic regression is used when you want to predict a dichotomous variable from continuous or dichotomous variables.

Mathematically, it is given by the expression;

Logistic regression y with x_{1}, x_{2}........x_{n}

Where;

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6 0
1 year ago
Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, d
e-lub [12.9K]
Let us use the Pythagorean theorem in identifying what triangle can be formed.

Let us assume that the 2 wooden dowels each measure 8 inches. We cut off one wooden dowel into half, so it becomes 2 pcs of 4 inches each.

The 3 wooden dowels now measure, 4 inches, 4 inches, and 8 inches. 

The Pythagorean theorem states: 

a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64

The measure of the cut wooden dowel must be longer than the uncut wooden dowel to create a triangle. 

I also tried this on a piece of paper, I cut each piece according to the assumed measure. No triangle can be formed under this activity. 
4 0
2 years ago
Read 2 more answers
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