In one sample, we have nj = 120 and p1 = 0.40. In a second sample, we have n2 = 90 and P2 = 0.80. Use the normal distribution to find a 95% confidence interval for the difference in population proportions P1 – P2. Round your answers to three decimal places. Confidence interval: i to

Answer:

es 8 ksnfjskausksufbab 726+47272774

Answer:

(x. y) =(4, 7)

Step-by-step explanation:

-7 x - 2 y = 14

6 x + 6 y = 18

Solve the equation

x = - 2/7 y

6 x + 6 y = 18

Substitute the value of x

6 ( - 2 - 2/7y) + 6 y = 18

Solve the equation

y = 7

Substitute the value of y

x = - 2 - 2/7 x 7

Solve the equation

x = - 4

A possible solution is

(x, y) = (- 4, 7)

Check the solution

- 7 x ( - 4) - 2 x 7 = 14

6 x ( - 4) + 6 x 7 = 18

Simplify

14 = 14

18 = 18

The ordered pair is the solution

(x, y) = ( - 4, 7)

Boom!

Answer:

The answer is A

Step-by-step explanation:

Both equal 48

Answer:

see below

Step-by-step explanation:

To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.

To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:

E[g(X)] = ∫(4X^2 + 2) * f(x) dx

Substituting the given density function, we have:

E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx

After simplifying and evaluating the integral, we can find the value of E[g(X)].

Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:

Var[g(X)] = E[(g(X) - E[g(X)])^2]

By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].

Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.

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Answer:

D. -3r^2 + 11r + 9

Step-by-step explanation:

8r + 4r^2 + 3r + 9 - 7r^2

shift somethings around so it's easier to tell

4r^2 - 7r^2 + 8r + 3r + 9

simplify/add

-3r^2 + 11r + 9

Answer:

4:1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the  change in the y coordinates

m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

We will start by determining the slope

(1, -6) the 1 is x sub 1  and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b.  We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b.  Since these points are on the line, they must satisfy this equation.  If we use the first coordinates, we would substitute 1 for x and -6 for y.  

-6 =  -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now.  We have to deal with two things.  The x and y terms have to be on the left side and A and B and C have to be integers.  

The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

Answer:

year, subtract that amount from the 230,000 gallons of seasonal water use. 230,000 gallons – 150,000 gallons = 80,000 gallons use for irrigation per year .

Step-by-step explanation:

I took the test

Answer:

he needs 10 c

Step-by-step explanation:

Jorge needs 10 large c because 6 large salads need 10 tomatoes

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

Given:

An angle in radian measure is

Required:

Find the degree measure of the angle.

Explanation:

The radian measure is

To convert the radian measure multiply it by

Final Answer:

Option b is the correct answer.

Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Answer:  \(9\sqrt{15}\)

Work Shown:

\(x = 3\sqrt{135}\\\\x = 3\sqrt{9*15}\\\\x = 3\sqrt{9}*\sqrt{15}\\\\x = 3*3*\sqrt{15}\\\\x = 9\sqrt{15}\\\\\)

In the second step, I factored 135 into 9*15 so that I could pull out the perfect square 9. This is the largest perfect square factor of 135. In the next step, I used the rule \(\sqrt{A*B}=\sqrt{A}*\sqrt{B}\\\\\)

Answer:

D- 3 (3) StartRoot 5 (3) EndRoot = 9 StartRoot 15 EndRoot

Answer:

Complementary angles.

Step-by-step explanation:

Complimentary angles means sum of angles = 90°

Supplementary angles of linear pair means sum of pair of angles = 180°

As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,

a + b = 90°

Angles 'a' and 'b' will be complementary angles.

The probability that, with random samples of seven measurements the sample mean for species a and b by at least 1 unit is 0.9999

1) Using by the central limiting theorem:

We know the formula for the z-score for the normal distribution is given by:

z = (x - μ) /( ρ√n)  

Follows normal distribution with mean 0 and the variance of 1.

Where

x is the  sample mean,

μ is the  population mean,

ρ denotes population standard deviation

n = sample size

The required probability is

P(z < 0.5/[0.4/√ 10])

= P(z < 3.95)

P = 0.9999

Therefore the probability that, with random samples of seven measurements the sample mean for species a and b by at least 1 unit is 0.9999 .

Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.

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Answer:

its A, B, C or D

Step-by-step explanation:

it has to be one of them.

Answer:

Step-by-step explanation: E, look at which side E is on, look at the other triangles angle that corresponds with it, so It's E.

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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The numbers in the quotient of 88 divided by 5 are 17 (the whole number part) and 0.6 (the decimal part).

When dividing 88 by 5, we get a quotient of 17.6.

The quotient is a decimal number, and it consists of two parts: the whole number part and the decimal part.

In this case, the whole number part is 17, and the decimal part is 0.6.

Therefore, the two numbers in the quotient of 88 divided by 5 are 17 (the whole number part) and 0.6 (the decimal part).

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Answer:

20, 40, and 60.

Step-by-step explanation:

Definition: A common multiple of two or more numbers is a number that can be divisible by each of those numbers.

Example: 10 is a common multiple of 2 and 5, because 10 can both be divisible by 2 and 5.

Question: Common Multiples of 4 and 5.

20 can be divisible by 4, and 5.

40 can be divisible by 4, and 5.

60 can be divisible by 4, and 5.

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

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In a bimodal histogram, the two highest bars will have the same height.

The above statement is TRUE that is n a bimodal histogram, the two highest bars will have the same height.

A histogram is said to be bimodal if it has two peaks. The only defining characteristic about this distribution is that it has 2 peaks of the same height. Bimodality sometimes occurs when the data set consists of observations from two different group of individuals. If this shape occurs, the two sources should be separated and analysed separately.

A bimodal histogram shape often reflects the presence of two different processes being "mixed" in the displayed data. For example, the data could contain information from two different machines, two shifts, weekdays and weekends, two offices, etc.

In some cases bimodal histogram indicates that the sample can be divided into two sub samples that differ from each other in some way.

Thus in a bimodal histogram, the two highest bars will have the same height.

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Answer:

8 pieces were obtained.

7 cuts made.

Step-by-step explanation:

(8x2 + 40x + 32) /  (x2 + 5x + 4)

= 8.

1) Remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2) Their difference will be divisible.

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor).

1. Suppose the a random number is x and 4 consecutives number are x, x+1, x+2, x+3

Given that,

x² + (x+1)²+ (x+2)²+ (x+3)²

x² + (x² +2x+1) + (x² +4x+4)+ (x²+6x+9)

4x² + 12x + 14

is divisible by 4 with remainder 2

\($ \frac{4x^2 + 12\text x + 14}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 +2}{4} $\)

\($ \frac{4x^2 + 12\text x + 12 }{4} $\) \($+\frac{2}{4}\)

Hence proved, remainder is 2 and sum of 4 consecutive square numbers is divisible by 4.

2. As both 14 and 21 is divisible by seven, their difference is also divisible by 7, i.e. 70-42 = 28, all the numbers are divisible by 7 and hence the squares of the number are also divisible by seven as well as their numbers.

14²⁰ - 21²

(7 × 2)²⁰ - (7 × 3)²

Thus, their difference will be divisible.

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