John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is
2 answers:
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Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;
For Iowa: μ = 24.5; σ² = 32.73; Range = 19
Step-by-step explanation:
Mean is the average of a population or a sample. It is defined as
μ = ∑x / n, where
x is each number of the set;
n is the total individuals in the sample.
Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:
μ₁ = = 33.1
Calculating the <u>Mean</u> for the sample in Iowa:
μ₂ = = 24.5
Variance measures how far the number in the set is from the mean. Its formula is
σ² = (∑x-μ)² / n -1
which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.
The <u>Variance</u> for the sample in <u>California</u> is
σ² = σ² = 120.50
The <u>Variance</u> for the sample in <u>Iowa</u> is
σ² = 32.73
Range is the difference between the highest and the lowest number of the set: range = highest - lowest
For the sample in <u>California</u>, the <u>Range</u> is
range = 46 - 14 = 32
For the sample in Iowa:
range = 35 - 16 = 19
For California:
- Mean = 33.1;
- Variance = 120.50;
- Range = 32;
For Iowa:
- Mean = 24.5;
- Variance = 32.73;
- Range = 19;
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Answer:
The correct option is 4.
Step-by-step explanation:
The non parallel sides of an isosceles trapezoid are congruent.
The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if
1. Reflection across a line joining the midpoints of parallel sides.
2. Rotation by 360° about its center.
3. Rotation by 360° about origin.
If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.
If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.
If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.
After rotation by 360° about the center, we always get an onto figure.
Therefore option 4 is correct.
