Mutations can happen because of damage by environmental factors, such as radiation and chemicals. Viruses may also cause DNA damage. Mutation can also occur during DNA replication due to errors. When DNA is changed the protein it codes may become non-functional or it may change its shape. Some genes control other genes. For example, the Hox genes are responsible for controlling other genes during development. They specify where the head, body and legs may be located, and also where where your nose, ears and eyes are located on your head. A mutation in the Hox genes, for example, may cause big changes, for example, a wing that grows out of the eyes of a fruit fly is due to a mutation in the Hox gene. Hox genes do not tell how wings are formed, just where it may be formed. If a gene that controls the development of the wing or legs or nose has a mutation then it may change the shape of the wing, leg, or nose.
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There are also some genes that do not govern the development of body parts, but they nevertheless have influence on traits. For example, the genes that govern the manufacture of eumelanin, if they malfunction, may result in such traits as light skin, blue eyes, and/or blond hair, because eumelanin is the pigment that gives hair, skin and eyes their dark brown to black color. An albino African, for example, will have light skin and even blue eyes and blond hair, because his/her genes for manufacturing eumelanin is defective. Some other genes control other traits but their effects are not as visible. For example, a mutation in some people's genes make them resistant to the HIV virus and the Bubonic plague, but such a trait is not visible from the outside.</span>
Answer: 11.14
Step-by-step explanation: This is right bro. 1000%
Answer:
i4=1
Step-by-step explanation:
Explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1 . From here (i2)2=(−1)2 , so i4=1
Answer:
(a) 95% confidence interval for the percent of all adults who want to lose weight is (48%, 54%) that is between 48% and 54%
(b) to say that we have 95% confidence in this interval means that there is 95% chance that the true percentage of all adults who wants to lose weight falls in this interval.
Step-by-step explanation:
The question is missing, complete question is below:
A Gallup Poll found that 51% of the people in its sample said "yes" when asked, "Would you like to lose weight?" Gallup announced: "With 95% confidence for results based on the total sample of national adults, one can say that the margin of sampling error is ± 3%."
(a) What is the 95% confidence interval for the percent of all adults who want to lose weight?
(b) What does it mean to say that we have 95% confidence in this interval?
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of national adults who want to lose weight (51%)
- ME is the margin of sampling error (± 3%)
Solve for <em>x</em> and <em>y</em> :
<em>x</em> + <em>y</em> = 1 → <em>y</em> = 1 - <em>x</em>
<em>x</em> ² + <em>y</em> ² = -1
<em>x</em> ² + (1 - <em>x</em>)² = -1
<em>x</em> ² + (1 - 2<em>x</em> + <em>x</em> ²) = -1
2<em>x</em> ² - 2<em>x</em> + 1 = -1
2<em>x</em> ² - 2<em>x</em> + 2 = 0
<em>x</em> ² - <em>x</em> + 1 = 0
<em>x</em> ² - <em>x</em> + 1/4 = -3/4
(<em>x</em> - 1/2)² = -3/4
<em>x</em> - 1/2 = ±√(-3/4)
<em>x</em> - 1/2 = ±√3/2 <em>i</em>
<em>x</em> = 1/2 ± √3/2 <em>i</em> → <em>x</em> = exp(± <em>iπ</em>/3)
<em>y</em> = 1 - (1/2 ± √3/2 <em>i</em> ) → <em>y</em> = -1/2 ± √3/2 <em>i</em> → <em>y</em> = exp(± 2<em>iπ</em>/3)
Then
<em>x </em>⁷ + <em>y </em>¹³ = exp(± 7<em>iπ</em>/3) + exp(± 26<em>iπ</em>/3)
… = exp(± <em>iπ</em>/3) + exp(± 2<em>iπ</em>/3)
since 7<em>π</em>/3 is equivalent to <em>π</em>/3, and 26<em>π</em>/3 is equivalent to 2<em>π</em>/3 (both modulo 2<em>π</em>).
In either case, we get
<em>x </em>⁷ + <em>y </em>¹³ = <em>x</em> + <em>y</em> = 1
so the answer is (2) 1.