Answer:
(-11,-9)
Step-by-step explanation:
translate 10 units down: y value: 1-10=-9
reflect over y-axis: x-value becomes opposite: 11 becomes -11
What is the average number of siblings for this group? Enter your answer as a decimal, rounded to the nearest tenth,
_______
The average number of siblings for the group is 1.3.
We must compute the total number of siblings and divide it by the total number of children in the group to determine the average number of siblings for the group.
There are a total of: siblings in the bunch.
3 + 8 + 9 = 20 (1 sibling times 3 children) + (2 siblings times 4 children) + (3 siblings times 3 children)
The total number of kids in the group is: 5 + 3 + 4 + 3 = 15
As a result, the group as a whole has an average of:
20/15 = 1.33 (rounded to the nearest tenth) (rounded to the nearest tenth)
So, the group as a whole has 1.3 siblings on average.
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According to the order of operations, multiplication and division are performed before addition and subtraction.
... 8 - 12 ÷ 2 + 3
... = 8 - 6 + 3 . . . . . . 12÷2 = 6
... = 2 + 3 . . . . . . . . . 8-6 = 2
... = 5
Answer:-13
Step-by-step explanation:
It's incorrect. There are 6 moles of NaBr produced for every 3 moles of Na₂S among the reactants (as well as 2 moles of FeBr₃), so the mole ratio of NaBr to Na₂S should be 2 : 1, not 1 : 1.
24 were Bb
21 were bb
Assume that this is a random sample.
A formal hypothesis test was carried out to compare the observed and expected frequencies of genotypes. The procedure obtained P = 0.0001.
1. "The frequency distribution of genotypes has a binomial distribution in the population" is the________ hypothesis, whereas "The frequency distribution of genotypes does not have a binomial distribution" is the _________ hypothesis.
2. The degrees of freedom for the test statistic are __________.
Say whether the each of the following statements is true or false solely on the basis of these results:
3. The difference between the observed and expected frequencies is statistically significant.________
4. The test statistic exceeds the critical value corresponding to α = 0.05. ___________
5. The test statistic exceeds the critical value corresponding to α = 0.01. ____________
Answer:
1) i ) Null hypothesis, ii) Alternate hypothesis
2) Degree of Freedom = 14.9011
3) True
4) True
5) True
Step-by-step explanation:
1) "The frequency distribution of genotypes has a binomial distribution in the population" is the NULL hypothesis, whereas "The frequency distribution of genotypes does not have a binomial distribution" is the ALTERNATE hypothesis.
2) Degrees of freedom: see attached calculation for
3) True, the difference between the observed and expected frequencies is statistically significant since p-value < ∝alpha(0.05)
4) True
when, 14.9011 > 3.8415 where ∝ = 0.05
when, p-value < alpha,TS > critical value
here p-value < 0.0001 < 0.05
5) True
when, 14.9011 > 6.635 where ∝ = 0.01
when, p-value < alpha,TS > critical value
here p-value < 0.0001 < 0.01
The null hypothesis states that the genotype frequency distribution follows a binomial distribution, with the alternative hypothesis stating the contrary. The degrees of freedom for the test statistic are two. The P value of 0.0001 is statistically significant, thus the test statistic exceeds the critical values corresponding to both α = 0.05 and α = 0.01.
1. The frequency distribution of genotypes has a binomial distribution in the population is the null hypothesis, whereas The frequency distribution of genotypes does not have a binomial distribution is the alternative hypothesis.
2. For this chi-square test, since there are 3 possible outcomes (BB, Bb, bb) the degrees of freedom are 3-1 = 2.
3. The difference between the observed and expected frequencies is statistically significant, that is true. A P value of 0.0001 is highly significant, clearly less than 0.05, and denotes a significant difference.
4. The test statistic exceeds the critical value corresponding to α = 0.05. This is true, as the statistically significant low P value indicates the test statistic is in the critical region.
5. The test statistic exceeds the critical value corresponding to α = 0.01. This is also true.
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Answer:
x = 120
Step-by-step explanation:
An equilateral triangle has 3 equal angles
The sum of the angles is 180
180/3 = 60
x + 60 = 180 since they form a straight line
x = 180-60
x = 120
Answer:
X...................