a. in the sample: i. what is the average value of birthweight for all mothers? ii. for mothers who smoke? iii. for mothers who do not smoke? b. i. use the data in the sample to estimate the difference in average birth weight for smoking and nonsmoking mothers. ii. what is the standard error for the estimated difference in (i)? iii. construct a 95% confidence interval for the difference in the average birth weight for smoking and nonsmoking mothers.

In a regression analysis regarding the two variables, the dependent variable is called the response or outcome variable, meanwhile the independent variable is called the predictor, explanatory, or input variable.

The goal of the analysis is to build a statistical model that can predict or explain the behavior of the dependent variable based on the independent variable(s). In a regression analysis, the two variables under consideration are:

In conclusion, the goal of the analysis is to find the best-fitting line or curve that describes the relationship between the variables. Once we have this model, we can use it to make predictions about the dependent variable based on the values of the independent variable(s).

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Answer:

Step-by-step explanation:

The questions is incomplete. Here is the complete question.

Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where  PQ ≈ RS. If PS=25, and PR=19, what is the value of QR

If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.

If Point Q is between P and R, then PQ+QR = PR ........... 1

Also if R is between Q and S, then QR+RS = QS ...... 2

Given

PS=25

PR=19

RS = PS-PR

RS = 25-19

RS = 6

Since PQ ≈ RS

Hence PQ = RS = 6

From equation 1;

PQ+QR = PR

substituting the resulting values

6+QR = 19

QR = 19-6

QR = 13

Hence the value of QR is 13

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Histogram is a graphical display of the data provided where the height of the bars represents the frequency of the values in a specific range.

The histogram is a popular graphing tool. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data in a convenient form.

To create a histogram, the data need to be grouped into class intervals. Then create a tally to show the frequency (or relative frequency) of the data into each interval. The relative frequency is the frequency in a particular class divided by the total number of observations.

The histograms can be used to draw conclusions about the shape of the distribution of the data provided.

A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the distribution.

In the histogram, if maximum of the data-values are collected on the left of the chart then the distribution is positively skewed.

A distribution is known as to be skewed to the left, or negatively skewed, when maximum of the data are collected on the right of the distribution.

In the histogram, if maximum of the data-values are collected on the right of the chart then the distribution is negatively skewed.

A distribution is known as to be symmetric, when maximum of the data are collected on the middle of the distribution.

The frequencies provided can be converted into relative frequencies to determine what percentage of data is within a specific interval.

The formula of median is:

Here,

L = lower class boundary of the group containing the median

N = total number of values

F = cumulative frequency of the groups before the median group

f = frequency of the median group

C = group width

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Answer: 5R

Step-by-step explanation:

Half a dozen =6 pieces

R30/6=5R

How much is one dozen?

One dozen is equal to 12, so one half of a dozen is 6.

If 6 candles are priced at R30, we can divide R30 by 6 to get the cost of 1 candle.

30 ÷ 6 = 5.

Therefore, each candle costs R5.

Answer: 40 degrees

Step-by-step explanation:

did this on khan! :)

Answer:

the very last one because none of the x values can be the same and it has two 0 in the x values

Step-by-step explanation:

Step-by-step explanation:

X intercept, y = 0

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x + 5)(x - 3) = 0

x = -5 and x = 3

X - Intercept = (-5 , 0) and (3 , 0)

Answer:

Step-by-step explanation:

x^2 + 2x - 15 = 0

(x - 3)(x + 5) = 0

x = 3 or x = -5

left-most x-intercept: (-5, 0)

right-most x-intercept: (3, 0)

Answer:

The answer is 3438.16 i think

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

152

+31

---------

182

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

c=5,x=18/5 or 3.6

Step-by-step explanation:

a) The probability of all 3 people being born on Tuesday is 1/343, calculated by multiplying the probability of each person being born on Tuesday (1/7) together.

b) The probability of all 3 people being born on different days of the week is 30/343, calculated by multiplying the probability of each person being born on a different day of the week (7/7, 6/7, 5/7) together.

a) To find the probability that all 3 people are born on Tuesday, we need to first determine the probability that one person is born on Tuesday, which is 1/7 (assuming all days of the week are equally likely). Since each person's birthday is independent of the others, the probability that a second person is also born on Tuesday is also 1/7, and the probability that a third person is born on Tuesday is also 1/7. To find the probability that all three people are born on Tuesday, we multiply the probabilities together: (1/7) x (1/7) x (1/7) = 1/343. So the probability that all 3 people are born on Tuesday is 1/343.

b) To find the probability that all 3 people are born on a different day of the week, we need to first determine the probability that one person is born on any given day of the week, which is 1/7. Once one person's birthday has been determined, the probability that the second person is born on a different day of the week is 6/7 (since there are only 6 other days of the week to choose from). Similarly, the probability that the third person is born on a different day of the week from the first two is 5/7. To find the probability that all three people are born on different days of the week, we multiply the probabilities together: (1/7) x (6/7) x (5/7) = 30/343. So the probability that all 3 people are born on different days of the week is 30/343.

a) To find the probability that all 3 people are born on a Tuesday, you simply calculate the probability of each person being born on a Tuesday and then multiply these probabilities together. Since there are 7 days in a week, the probability of being born on any specific day (including Tuesday) is 1/7. So, the probability of all 3 being born on Tuesday is:

(1/7) x (1/7) x (1/7) = 1/343

b) To find the probability that all 3 people are born on different days of the week, first consider the probability for each person. The first person can be born on any day (7/7 chance). For the second person, they have a 6/7 chance of being born on a different day than the first person. Finally, the third person has a 5/7 chance of being born on a different day than the first two. Multiply these probabilities together:

(7/7) x (6/7) x (5/7) = 210/343

So, the probability of all 3 people being born on different days of the week is 210/343.

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Step-by-step explanation:

x > 4

you see the line covers everything to the right (larger than) of +4.

the large empty circle at 4 means this value is not included.

that is the reason why we cannot use x >= 4.

to include the value the market has to be sold (not empty).

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

x = -21/8

Step-by-step explanation:

8x = -21

Divide each side by 8

8x/8 = -21/8

x = -21/8

Answer:

y = -2x + 5

Step-by-step explanation:

20 = 8x + 4y

subtract 8x from both sides

4y = -8x + 20

divide both sides by 4

y = -2x + 5

The value of y is 5-2x=y

Two or more expressions with an Equal sign is called as Equation.

The given equation is 20 = 8x + 4y

Twenty equal to eight times of x plus four times of y.

We need to solve the equation for y.

To solve this we need to separate the variable y.

Subtract 8x on both sides

20-8x=4y

Divide both sides by 4

20/4-8/4x=y

5-2x=y

Hence, the value of y is 5-2x=y

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The system of equations 6x + 5y = 9 and −11x − 10y = −20 has exactly one solution.

Given that

6x + 5y = 9

−11x − 10y = −20

To determine if the system of equations has no solutions, infinitely many solutions, or exactly one solution, we can use a common method called elimination.

First, we can multiply the first equation by 2 to eliminate y:

12x + 10y = 18

Next, we can add the second equation to the modified first equation to eliminate x:

12x + 10y -11x -10y = 18 - 20

Simplifying both sides:

x = -2

Therefore, the system has exactly one solution

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Answer:

20%

Step-by-step explanation:

20/25 = blue

This means 5/25 of the balls in the bag are NOT blue

(25-20 = 5)

We need to convert 5/25 to a percentage

\(\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}\)

% = per cent

"per" means "out of"

"cent" means "one hundred"

so

20/100 = 20%

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:

p-hat = 411/900 = 0.4578

Then, we calculate the standard error:

SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241

Next, we calculate the z-score:

z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77

Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.

Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

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The domain of the function C(t) is R - { -5. -2}.

The domain of a function is the set of all values for which the range of the function is defined.

To achieve an immediate response to a particular drug's effects the concentration, C, in mg/L, of a particular medication after being injected into a patient is given by the function

C(t) = \(\frac{-18t^2 + 54t}{t^2 + 7t + 10}\) where t represents time in hours.

We know that a function is undefined when its denominator becomes zero.

∴ We have to factor the quadratic equation t² + 7t + 10 which is,

t² + 5t + 2t + 10 = 0.

t(t+5)+2(t+5) = 0.

(t+5)(t+2) = 0.

So, t = -5 or t = -2 are the two values of this equation which makes the function c(t) undefined.

∴ The domain of the function \(\frac{-18t^2 + 54t}{(t+5)(t+2)}\) is all real numbers except -2 and - 5 which can be written as

Domain of C(t) is R - { -5, -2}, where R represents all real numbers.

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Answer:

A) 480cm^3

B) 35 cm^2

Step-by-step explanation:

Given two similar solids

Volume of A = 60cm^3

Surface area of B = 140cm^2

Side A = 3

Side B = 6

NB: if two solids are similar, the ratio of their volume equals the cube of the corresponding proportion of their linear measure.

That is :

Volume A / volume B = (side A / side B)^3

(60 / volume B) = (3 / 6)^3

(60 / volume B) = (1/2)^3

(60 / volume B) = (1/8)

Volume B = 480cm^3

B) the surface area:

NB: if two solids are similar, the ratio of their surface areas equals the square of the corresponding proportion of their linear measure.

Surface area A / surface area B = (side A / side B)^3

(surface area A / 140) = (3 / 6)^2

(surface area A / 140) = (1/2)^2

(surface area A / 140) = 1/4

4 × surface area A = 140

Surface area A = 140/4

Surface area of A = 35cm^2

Answer:

A=480

B=35

Step-by-step explanation:

Answer:

False I did this And the slope is 2

Answer: 2/ Points

Step-by-step explanation:

The points can't make up the answer to the equation, so it can't be 3!

I don't think it is the solution, because on a table points are just points of an equation!

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).

For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.

On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.

The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.

Due to their fundamentally different natures, neither function dominates the other over their entire domains.

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Step-by-step explanation:

The answer is

Distance is 42000 kmph

The distance the rocket has traveled after 1 hour with a speed of 700km/hour is 700 km.

Given,

A rocket is launched from the launch pad at a speed of 700 km/hr.

We need to find how far will the rocket has traveled after 1.0 hr.

Speed is the ratio of distance per time.

Speed = Distance /Time

Its unit is km/hour or m/second.

We have,

Speed = 700 km/h

Distance = D

Time = 1 hour

From the speed formula:

Speed = Distance / Time

700 = Distance / 1

700 km / hour x 1 hour = Distance

Distance = 700 km

Thus the distance the rocket traveled after 1 hour with a speed of 700km/hour is 700 km.

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Hi!

All of these can be represented as fractions:

1.) 4/12

2.) 15/27

3.) 12/18

4.) 9/72

Now, if they are supposed to be simplified...

1.) Divide 4 and 12 by 4, and you get 1/3

2.) Divide 15 and 27 by 3, and you get 5/9

3.) Divide 12 and 18 by 6, and you get 2/3

4.) Divide 9 and 72 by 9, and you get 1/8

Hope this helps! :D