can someone pls help with this question :)

The p-value in a chi-square goodness of fit test for F2 data sets is used to determine the likelihood of obtaining the observed data if the true mode of inheritance is actually autosomal dominant.

To determine which F2 data set provides greater evidence for indicating the correct mode of inheritance, perform a chi-square goodness of fit test on each of the two data sets.

Follow these steps for each data set:

Calculate the expected counts for each phenotype and gender combination based on the true mode of inheritance (Autosomal Dominant). In this case, the expected ratio for Disease to Wild-Type is 1:1 for both males and females.

Calculate the chi-square statistic using the observed and expected counts. Calculate the p-value using the chi-square statistic and the appropriate degrees of freedom.

Compare the p-values of both data sets. The data set with a p-value greater than 0.05 and closer to 1 is considered to provide greater evidence for the correct mode of inheritance.

For Data Set 01:

F2 Expected Counts:
- Male: Disease: 129, Wild-Type: 129
- Female: Disease: 126, Wild-Type: 126

F2 Observed Counts:
- Male: Disease: 185, Wild-Type: 73
- Female: Disease: 183, Wild-Type: 69

Calculate the chi-square statistic and p-value for Data Set 01.

For Data Set 02:

F2 Expected Counts:
- Male: Disease: 230.5, Wild-Type: 230.5
- Female: Disease: 219, Wild-Type: 219

F2 Observed Counts:
- Male: Disease: 349, Wild-Type: 112
- Female: Disease: 323, Wild-Type: 115

Calculate the chi-square statistic and p-value for Data Set 02.

After calculating the p-values for both data sets, compare them and determine which data set provides greater evidence for indicating the correct mode of inheritance (Autosomal Dominant).

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The simplest form of the square root of \(243x^7\) is \(9x^3\sqrt{3x}\).

We know that, we can write the number and expression as,

243 = 3*3*3*3*3 = \(3^5=3^4*3^1\)

\(x^7=x^6*x^1\)

Hence,

Square root of 243 is \(\sqrt{3^4*3^1}=3^2*\sqrt{3}=9\sqrt{3}\).

Square root of \(x^7\) is \(\sqrt{x^6*x^1}=x^3\sqrt{x}\)

Hence,

Simplest form of square root of \(243x^7\) is \(9\sqrt{3}*x^3\sqrt{x} = 9x^3\sqrt{3x}\).

Square root

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number.

The square root symbol is usually denoted as ‘√’. It is called a radical symbol. To represent a number ‘x’ as a square root using this symbol can be written as: \(\sqrt{x}\).

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140 males is expected to have a systolic blood pressure.

We have to calculate probability of a male having a systolic blood pressure between 112 and 132 using the normal distribution.

We will standardize the values by calculating z-scores for the lower and upper limits:

\(z\)1 = (x1 - μ) / σ,

\(z\)2 = (x2 - μ) / σ,

\(z\)1 = (112 - 120) / 5

\(z\)1 = -1.6,

\(z\)2 = (132 - 120) / 5

\(z\)2 = 2.4.

Using standard normal distribution table:

\(P(112 < X < 132) = P(z1 < Z < z2)\\P(112 < X < 132) = P(Z < z2) - P(Z < z1)\\P(112 < X < 132) = 0.9918 - 0.0548\\P(112 < X < 132) = 0.937\)

The number of males expected to have a systolic blood pressure between 112 and 132 will be:

= \(P(112 < X < 132)\) * Sample size

= 0.937 * 149

= 139.613

= 140

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Answer: \(\bold{10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }}\)

Step-by-step explanation:

Given:

The coordinates of Point A: (8, 9)

The coordinates of Point B are unknown: (x, y)

The distance from A to B is 10 units

Then, using the distance formula:

\(AB = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }\)

Therefore,

\(10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }\)

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Step-by-step explanation:

7/9 x 1/4 = 7/36

The cosine and the sine of the angle are the x and y coordinates of P, respectively

Assume that the coordinate of a point P is:

P = (x,y)

The trigonometry ratios are represented using:

(cos(t), sin(t))= (x,y)

Where t represents the angle formed between the initial and terminal arm.

Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively

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Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

Answer:

1hr= 550 miles

Answer:

Step-by-step explanation o:

The value οf y fοr pοint P οn the unit circle in the third quadrant with x-cοοrdinate -6/7 is -sqrt(13)/7.

PWe knοw that the pοint  is in the third quadrant and is distance 1 away frοm the οrigin, which is at (0,0). We alsο knοw that there is a pοint at (1,0) οn the x-axis, which is tο the right οf the οrigin.

Tο sοlve fοr y, we can use the Pythagοrean theοrem tο set up an equatiοn based οn the distance fοrmula:

\(\sqrt{(x^2 + y^2)} = 1\)

Squaring bοth sides, we get:

\(x^2 + y^2 = 1\)

Since we knοw that x = -6/7, we can substitute that in and sοlve fοr y:

\((-6/7)^ + y^2 = 1\)

Simplifying, we get:

\(36/49 + y^2 = 1\)

Subtracting 36/49 frοm bοth sides, we get:

y^2 = 13/49

Taking the square rοοt -

οf bοth sides yields:

\(y = +/- \sqrt{(13)} /7\)

Because P is lοcated in the third quadrant, y must be negative. Therefοre, the value οf y in simplest fοrm is:

\(y = - \sqrt{(13)}/7\)

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Answer:

  (a)  0.0062

Step-by-step explanation:

You want the probability P(X > 14.5) given that X has a normal distribution with mean 2 and variance 25.

This probability can be found using a suitable calculator or spreadsheet. The calculator in the attachment specifies the normal distribution using mean and standard deviation, so we need to find the square root of the variance.

  P(X > 14.4) ≈ 0.0062

<95141404393>

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

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Answer:

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.

Hope that helps

Answer: A. (2, 100)

Step-by-step explanation:

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Firstly, let’s assume the the whole capacity the work requires is 1.

Then, let’s see how 1 man can do in 50 days: 1/5.

Further, let’s see how 1 man can do in 1 day : 1/(5×50) = 1/250.

Similarly, let’s see how 1 woman can do in 1 day: 1/(10×50) = 1/500.

Now, we have 8 men, and they can do 8*1/250 in 1 day, which is 4/125.

Besides, we have 4 women, and they can do 4×1/500 in 1 day, which is 1/125.

Therefore, all people we have can do 4/125 + 1/125 of the work in 1 day, which is 1/25.

As a result, the work takes 1/(1/25)= 25 days.

I completely agree with the statement, "It's not just about how apps look or function—it's about how they make people feel.

" In today's world, people are not just looking for apps that perform well but also provide an exceptional user experience. The look and feel of the app have become equally important as the functions it provides. When an app has a user-friendly interface, it helps users to navigate easily and feel engaged, leading to higher user satisfaction and retention.

Additionally, when an app makes users feel good, it can create an emotional connection between the user and the app, leading to brand loyalty and even positive word of mouth. Therefore, it's essential to focus on both the functionality and user experience while designing and developing apps.

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Answer:

umm i am pretty sure it is 20 to 22

Step-by-step explanation:

The correct answer is 5! × 2! × 4! ways = 5760 ways.

Given that Professor Chang has nine different language books lined up on a bookshelf: two Arabic, three German, and four Spanish. The problem requires us to find out how many ways there are to arrange the nine books on the shelf while keeping the Arabic books together and keeping the Spanish books together.

The number of ways that the nine books can be arranged on the shelf keeping the Arabic books together and keeping the Spanish books together is as follows:

First, we group the Arabic books and the Spanish books. The Arabic books consist of two books, and the Spanish books consist of four books. These two groups will be treated as a single book, so there are 5 books on the shelf instead of 6.

The 5 books can be arranged among each other in 5! ways. The Arabic books can be arranged among each other in 2! ways and the Spanish books can be arranged among each other in 4! ways.

Therefore, the total number of ways to arrange the nine books on the shelf while keeping the Arabic books together and keeping the Spanish books together is 5! × 2! × 4! = 5760 ways.

Hence, the correct answer is 5! × 2! × 4! ways = 5760 ways.

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The difference between strength and fit when interpreting regression equations is that strength refers to the relationship between two variables, while fit refers to how well a regression line fits the data.

When interpreting regression equations, strength and fit are two different concepts.

Here is a detailed explanation of both concepts:

Strength: In regression analysis, the strength of the relationship between two variables is measured by the correlation coefficient.

The correlation coefficient measures the degree of association between two variables.

It ranges between -1 and +1.

A correlation coefficient of -1 indicates a perfect negative relationship, whereas a correlation coefficient of +1 indicates a perfect positive relationship.

When the correlation coefficient is close to 0, it indicates that there is no relationship between the two variables.

Fit: Fit refers to how well a regression line fits the data.

The goodness of fit of a regression line is measured by the coefficient of determination, also known as R-squared.

The R-squared value ranges between 0 and 1. A high R-squared value indicates a good fit, while a low R-squared value indicates a poor fit.

In general, an R-squared value greater than 0.5 is considered acceptable.

The R-squared value tells us the proportion of the variation in the dependent variable that can be explained by the independent variable(s).

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The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Step-by-step explanation:

\(\huge{\color{black}{\fbox{\color{pink}{\colorbox{pink}{\color{red}{Answer ✨☑️}}}}}}\)

The number of terms are 8. Step-by-step explanation: Given : The sum n terms of an A.P is 136 the common difference is 4 and last term is 31.

Answer:

Sn=2n{2a+(n−1)d}

a+(n−1)d=31⇒a=31−4(n−1)

∴136=2n{2[31−4(n−1)]+(n−1)d}

n[70−8n+4n−4]=272

n(66−4n)=272

4n2−66n+272=0

2n2−33n+136=0

2n(n−8)−17(n−8)=0

(2n−17)(n−8)=0

∴n=8

Answer:

A

Step-by-step explanation:

We need to use 2 cups of lemon juice and 8 cups of water as we need to mix to get 10 cups of lemonade.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

We know that the lemonade recipe is:

1 cup of lemon juice and 4 cups of water.

This gives us a total of:

1 cup + 4 cups =  5 cups of lemonade.

Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.

this is:

2*(1 cup) = 2 cups of lemon juice

2*(4 cups) = 8 cups of water.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

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False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

See below

Step-by-step explanation:

4 years simple interest at  .08  interest

  650  *  .08   *  4 =  $ 208  in interest

       his total amount owed will be this PLUS the amount he borrowed

            208 + 650 = 858 dollars

IF he pays 150 back at the end of each year

   First year    650 * 1.08  - 150 = 552 owed      interest = 52

     Second year   552 * 1.08 - 150 = 446.16       interest = 44.16

      third year   446.16 * 1.08 - 150 =  331.85      interest = 35.69

       fourth year   331.85 * 1.08 - 150 = 208.40  interest = 26.55

                           total interest after 4 years = 158.40  

                                       (and he still owes 208.40)