Morgan is 23 years old. Her grandfather is 4 times as old. How old is her grandfather?

Answers

Answer 1
Answer:

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 2
Answer:

Answer:

92

Step-by-step explanation:

23x4=92


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How many numbers are between 0 and 4

Answers

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:

The white "Spirit" black bear (or Kermode) Ursus americanus kermodei, differs from the ordinary black bear by a single amino acid change in the melanocortin 1 receptor gene (MC1R). In this population, the gene has two forms (or alleles): the "white" allele b and the "black" allele B. The trait is recessive: white bears have two copies of the white allele of this gene (bb), whereas a bear is black if it has one or two copies of the black allele (Bb or BB). Both color morphs and all three genotypes are found together in the bear population of the northwest coast of British Columbia. If possessing the white allele has no effect on growth, survival, reproductive success, or mating patterns of individual bears, then the frequency of individuals with 0, 1, or 2 copies of the white allele (b) in the population will follow a binomial distribution. To investigate, Hedrick and Ritland (2011) sampled and genotype 87 bears from the northwest coast:42 were BB
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. ____________

Answers

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

Final answer:

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.

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 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.

Learn more about Statistics in Biology here:

brainly.com/question/6356614

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Hep me on this please

Answers

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 :

area =  (1)/(2)  * (a + b) * h

let \: a = 50 \n let \: b = 90 \n let \: h = 32

area =  (1)/(2)  * (50 + 90) * 32

area =  (1)/(2)  * 140 * 32

area = 70 * 32

area = 2240 \:  {m}^(2)

How do I write 4.18 as a mixed number​

Answers

Answer:

4 18/100

Step-by-step explanation

What is the circumference of earth's equator?

Answers

Answer:

40,075 kilometers

Step-by-step explanation:

The distance around the Earth at the Equator, its circumference, is 40,075 kilometers

Help? Question are above. 15 points

Answers

Answer:

1).

7, rational

2).

2.36 (repeating), irrational

3).

Simplify:(734)/(1000) / (2)/(2) = (367)/(500)

4).

Simplify: (2588)/(1000) /(4)/(4) =(647)/(250) \nIf.you.want.to.convert.it.to.a.mixed.fraction: 2(147)/(250)