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17.04.2023, solved by verified expert
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Answer:

given below

Step-by-step explanation:

Exponents and Recursive Routines

a) Starting value: 100; constant multiplier: -1.6 8th term: 26,214.40

b) Starting value: 16; constant multiplier: 1.25 8th term: 89.14

c) Starting value: 2; constant multiplier: 1.5 8th term: 273

d) Starting value: 25; constant multiplier: 0.25 8th term: 0.01220703125

Recursive Routine

a) -30, -15, -7.5, -3.75, -1.875

b) 6, 12, 24, 48, 96

c) -38, -129.2, -439.28, -1491.592, -5066.8184

d) 123, 24.6, 4.92, 0.984, 0.1968

e) -0.4, 0.24, -0.144, 0.0864, -0.05184

Starting Value and Percent Increase or Decrease

a) 28, 28.84, 29.696, 30.58048, 31.496704

b) 56, 55.72, 55.4456, 55.176772, 54.9133604

c) 96, 193.92, 392.6784, 796.930048, 1618.07775744

d) 1840, 1674.4, 1524.696, 1389.77304, 1268.9783036

Rewriting Expressions Using Distributive Property

a) 12 - 2.88 

b) 43 + 2.15 

c) 0.09 - 0.0126 

d) R(1+t)

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StudenGPT
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Paragraph 4 contributes to the development of Fuller's argument for equality for women by presenting the counterargument of men that has hindered the advancement of women's rights. In this paragraph, Fuller addresses the perspective of those who believe that women should not be involved in politics or public life. She mentions how some argue that women should focus on their role within the home and that allowing them to participate in government or leadership positions would violate their delicacy and destroy the beauty of home. Fuller acknowledges the opposition's concern about introducing women into public spheres and provides arguments to counter these viewpoints. This paragraph helps to strengthen Fuller's argument by recognizing the opposing views and offering persuasive rebuttals to promote equality for women.
Health
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P Answered by PhD

C) "My husband gives our daughter orange juice when she takes her ferrous sulfate, so she gets Vitamin C."

Explanation:

Vitamin C aids is the absorption of iron. So, when the administration of ferrous  sulphate is taking place, it should be given to the patient in between meals along with juice, preferably orange juice as it is rich in vitamin C. For best results, iron should not be given with meals. Ferrous sulfate can cause constipation or turn the child's stools black. Hence, the correct option is C.

StudenGPT
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Question 1, Part A:
The key idea that Fuller develops in "Woman of the Nineteenth Century" is that men are denying women and enslaved people the unalienable rights they are born with.

Justification:
Throughout the text, Fuller highlights the oppression faced by women in society and argues that they should have the same rights and privileges as men. She criticizes the way women are oppressed by their husbands and the broader society. Fuller believes that men should do more to help women and enslaved people function independently and that society should adapt to the needs of its members. These ideas align with the concept of unalienable rights, which are inherent and cannot be taken away by others.

Question 2, Part B:
The detail from the text that contributes to the development of the key idea identified in Part A is:

"The gift of reason, Man's highest prerogative, is assigned to them in much lower degrees. There exists in the minds of men a similar tone of feeling toward women as toward enslaved persons, such as is expressed in the common phrase, 'Tell that to women and children.'"

Justification:
This detail showcases how women are viewed as inferior by men and draws a parallel between the treatment of women and enslaved persons. Both groups are not given the same respect and are often dismissed or not taken seriously. This detail supports the key idea that men are denying women and enslaved people their unalienable rights by highlighting the unequal treatment and disregard for their voices and intellect.
World Languages
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Have you (singular)[tu] ever thought about being an archaeologist? I[ego] have! Think what archaeologists give us[nobis]! Because of their[suis] efforts we [nos] learn from a piece of pottery that there were shops from which a Roman could "special order" a piece of statuary. They tell you (singular)[tibi] whether or not a statue is from the archaic or Hellenistic periods. If you[tu] and those friends of yours (singular)[tui, possibly tuae] are lucky, and few of you (plural)[vestri]will be, you (plural)[vos] may work with a team on a dig. They will work with you (plural)[vobis], train you (plural)[vos] and give you (plural)[vobis] fascinating experiences from which to learn and to remember with joy in later life. How I[ego] wish the opportunity had been given me[mihi] when I[ego] was your[tua]age!

Mathematics
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P Answered by PhD

a) X= 125+ 0.524(6.5)=128.406 feet

b) P(X

c) P(\bar X\geq 130)=1-0.9573=0.0427

d) P(120 \leq \bar X \leq 130)=0.9971

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

a. (2pts) What is the 70th percentile of the distribution of stopping distances? (Show work, give units)

Let X the random variable that represent variable of interest, and for this case we know the distribution for X is given by:

X \sim N(125,6.5)  

Where \mu=125 and \sigma=6.5

So we are interested on a value c that satisfy the following condition:

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

So we can find a z score in the normal standard distribution that accumulates 0.7 of the area on the left and 0.3 on the right. And this value on this case is z=0.524. And now we can solve X from the z score formula:

0.524=\frac{x-125}{6.5}

X= 125+ 0.524(6.5)=128.406 feet

b. (2pts) What is the probability that a randomly selected car will have a stopping distance less than 115 feet? (Give the proper probability statements/notation, show work, and give value to 4 decimal places)

On this case we want this probability:

P(X

And we can solve this using again the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply the z score formula we got:

P(X

And we can find this probability on this way:

P(z

c. (4pts) What is the probability that a randomly selected sample of 5 cars in the study will have a mean stopping distance of at least 130 feet? (Give the proper probability statements/notation, show work, and give value to 4 decimal places)

Let \bar X represent the sample mean, the distribution for the sample mean by the ceentral limit theorem is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(125,\frac{6.5}{\sqrt{5}}=2.907)

And we want this probability:

P(\bar X \geq 130)

And using the z score formula we got this:

P(\bar X \geq 130)=P(Z\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}})=P(Z\frac{130-125}{2.907})=P(Z1.720)

And we can use the complement rule like this:

P(Z1.720)=1-P(Z

d. (4pts) What is the probability that a randomly selected sample of 15 cars in the study will have a mean stopping distance between 120 and 130 feet? (Give the proper probability statements/notation, show work, and give value to 4 decimal places)

On this case  \bar X \sim N(125,\frac{6.5}{\sqrt{15}}=1.678)

And we want this probability:

P(120 \leq \bar X \leq 130)

And using the z score formula we got this:

P(120 \leq \bar X \leq 130)=P(\frac{120-125}{1.678}

And we can find this probability on this way:

P(-2.9792.979)=P(Z

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