Answer: 1
<u>Step-by-step explanation:</u>
a + b = 1
a³ + b³ = (a + b)(a² - ab + b²) <em>formula for a perfect cube</em>
a³ + b³ + 3ab = (a + b)(a² - ab + b²) + 3ab
↓
= 1 (a² - ab + b²) + 3ab
= a² - ab + b² + 3ab
= a² + 2ab + b² <em>this is a perfect square</em>
= (a + b)(a + b)
↓ ↓
= (1) (1)
= 1
Answer:
DF = 7.5
Step-by-step explanation:
Since the 3 sides are congruent, then
EF = DE , that is
4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )
3m - 42 = - 9 ( add 42 to both sides )
3m = 33 ( divide both sides by 3 )
m = 11
Thus
DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5
Then
DF = 7.5
Answer:
a. Describing a sample with mean and standard deviation.
Step-by-step explanation:
Statistics can be categorized into descriptive and inferential statistics.
descriptive statistics uses data for descriptions through numerical analysis. It can be further divided in four parts.
- Measures of Central Tendency ( Mean, Median, and Mode)
- Measures of Frequency (Count, Percent, Frequency)
- Measures of Position (Percentile Ranks, Quartile Ranks.)
- Measures of Dispersion ( Range, Standard Deviation)
Inferential statistics however is based on assumptions and conclusions and generalizations drawn from samples or checks.
options b to d are all examples of inferential statistics while option a is an example of descriptive statistics.
Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
Just saying, this angle is a 45 degree angle.
and the X on both is '-1'
I think?
hope this helps. im not good at math..- :)
