Answer:
92 years old
Step-by-step explanation:
Multiply 23 by 4
92
So Morgan's grandfather is 92 years old
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Answer:
92
Step-by-step explanation:
23x4=92
Answer:
infinite rational numbers
Step-by-step explanation:
There are infinite rational numbers between 0 and 4. Now,single decimal value change like 2.34 and 2.35 can change the total value of a rational number. And there are infinite combinations of this decimal value between just two numbers.
Answer:
3 numbers
Step-by-step explanation:
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:
2,240 square meters
Step-by-step explanation:
The shape above is a trapezoid. Therefore, we can use the area formula for a trapezoid:
A=1/2(a+b) *h
where a is the short base, b is the long base is h is the height.
In this trapezoid, the short base is 50 meters , the long base is 90 meters and the height is 32 meters.
a= 50
b=90
h=32
A=1/2(50+90)*32
Add inside the parentheses first.
A=1/2(140)*32
Multiply 1/2 and 140, or divide 140 by 2.
A=70*32
Multiply 70 and 32
A=2240
Add appropriate units. In this case, the units are meters^2
A=2240 meters^2
The area of the playground is 2,240 meters^2
Answer:
The answer is 2240m².
Step-by-step explanation:
Given that the formula of area of trapezium is A = 1/2×(a+b)×h where a and b represents the length and h is height :
Answer:
4 18/100
Step-by-step explanation
Answer:
40,075 kilometers
Step-by-step explanation:
The distance around the Earth at the Equator, its circumference, is 40,075 kilometers
Answer:
1).
7, rational
2).
2.36 (repeating), irrational
3).
4).