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MakcuM [25]
3 years ago
15

What is the value of the missing number in the sequence 4,12,36,__,324,972,2916

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0
108 
4 times 3 =12
12 times 3 =36 
36 times 3 =108
etc

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Common factor for 32 and 30
Keith_Richards [23]
Common Factor for 32 and 30 would be 1 and 2. Greatest common factor is 2.
4 0
3 years ago
Which inequality best represents the phrase?
diamong [38]

Im not sure what it is but my best bet would be on A because the rest of them all say greater than 0 and you are trying to find the least.

4 0
2 years ago
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Discuss his principles of inheritance by answering the following questions. Two plants are being crossed, each heterozygous for
disa [49]

Answer:

Q1 - What is the possibility that the offspring will have white flowers? Express your answer as a ratio.

A: White flowers only appear if the offspring is homozygous for b because this phenotype is recessive, so they have to present bb phenotype. If both parents are heterozygous (Bb), each one gives one gene at a time per individual after crossing, so 1/4 would be BB, 2/4 would be Bb and 1/4 would be bb.

Q2 - If one parent is also heterozygous for smooth peas, does this mean that all of the offspring with blue flowers will also have smooth peas? Explain your answer without using a Punnett square.

A: No, it doesn't mean that all blue flowers will present smooth peas because those genes are expressed in different loci, so they segregate independently.  There might be some blue flowers with smooth peas, but that is not mandatory for all of them.

Q3 - Suppose both parents are also heterozygous for smooth peas (S), with wrinkled peas (s) as the recessive trait. Use a Punnett square to predict the possibility that the offspring will be homozygous for both flower color and pea texture. Make sure to include a Punnett square and express your prediction as a ratio.

A: Parental genotypes are BbSs x BbSs. Given that the genes segregate independently, we will have the Punnett diagram as follows:

        BS        /    Bs    /     bS   /   bs

BS    BBSS   / BBSs  / BbSS  / BbSs

Bs    BBSs   / BBss  / BbSs   / Bbss

bS    BbSS  / BbSs  / bbSS  / bbSs

bs     BbSs / Bbss  / bbSs  / bbss

Homozygous genotypes are the ones that both genes are the same when expressed, either BB,bb,SS or ss. The probability the offspring is homozygous for both flower color and pea texture is 4/16, or 1/4.

5 0
3 years ago
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?
____ [38]
<h3><u>Explanation</u></h3>
  • Given Equation

h(x) =  \sqrt{x - 2}  + 3

  • Transformation

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

<h3><u>Answer</u></h3>
  • Second Image, the first one where x = 2 and y = 3.
3 0
3 years ago
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