Answer:
13 and 27
Step-by-step explanation:
y= x+14
x+y=40
x+ x+14=40
2x+14=40
40-14=26
so, 2x=26
26/2
=13
so, x=13 and
and y equal 40-13
y=27
They are right, adjacent, and supplementary. Hope this helps!
Answer:
95% confidence interval for nasturtiums in a 50 gram bag is (1.442, 1.700)
Step-by-step explanation:
The sample is:
1.45g, 1.35g, 1.45g, 1.65g, 1.72g, 1.45g, 1.35g, 1.92g, 1.76g, and 1.61g.
Sample size is 10
Mean nasturtiums in a 50 gram bag is
Standard deviation of the sample is the mean of the squared differences from the mean(0.181)
95% Confidence Interval can be calculated using M±ME where
- M is the mean nasturtiums in a 50 gram bag (1.571 g)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME= where
- t is the corresponding statistic in the 95% confidence level and 9 degrees of freedom (2.262)
- s is the standard deviation of the sample (0.181)
- N is the sample size (10)
Then ME= =0.129
95% confidence interval for nasturtiums in a 50 gram bag is 1.571±0.129
Answer:
For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the best option would be:
a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the best option would be:
a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0
Answer:
35°
Step-by-step explanation: