Drew rolls two number cubes 75 times. Is it likely that she will get a sum of 3 more than 5 times?

Answer:

x<5

Step-by-step explanation:

x/2-7/6<4/3

x/2<4/3+7/6

x/2<8/6+7/6

x/2<15/6

x<15/6*2

x<30/6

x<5

Answer:

Okay the answer is £1.56

Step-by-step explanation:

 £15.00

-£13.42

 £01.58

Brainliest if you liked the answer.

To formulate this problem as a linear programming problem, we need to identify the decision variables, objective functions, and constraints.

Decision Variables:
Let x be the number of model A printers manufactured per month, and y be the number of model B printers manufactured per month.

Objective Function:
The objective is to maximize monthly profits, which can be expressed as P = 25x + 40y.

Constraints:
1. The total number of printers demanded per month cannot exceed 3000, so we have the constraint x + y ≤ 3000.
2. The company has earmarked not more than $600,000/month for manufacturing costs, so the cost constraint is 120x + 140y ≤ 600,000.
3. The number of printers manufactured must be non-negative, so x ≥ 0 and y ≥ 0.

Therefore, the linear programming problem is:
Maximize P = 25x + 40y
Subject to:
x + y ≤ 3000
120x + 140y ≤ 600,000
x ≥ 0, y ≥ 0

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Answer:

4 units

Step-by-step explanation:

formula

d = √(x2-x1)^2 + (y2-y1)^2

then fill in the spots

d = √(-5.4+5.4)^2 + (-5.5+9.5)^2

the subtraction sign became an addition sign due to it being a double negative

Hope this helped

Answer:

Step-by-step explanation:

1) 5+2*1-3+8 = 5+2-3+8 = 7-3+8 = 4+8 = 12

2) 2+5*1 = 2+5 = 7

Answer:

a) 5+2 x 1-3+8

5+2-3+8

=12

b) 2+5 x 1

2+5

=7

Step-by-step explanation:

The rectangular (standard) form of the complex number is simply 4.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It focuses on the study of trigonometric functions, which are functions that relate the angles of a triangle to the ratios of the lengths of its sides.

The rectangular (standard) form of a complex number is typically written as a + bi, where a and b are real numbers, and i is the imaginary unit (√-1). However, in the case of the given complex number 4(cos 0° + i sin 0°), it can be simplified to 4(1 + 0i), since cosine and sine of 0° are equal to 1 and 0 respectively.

The complex number 4(cos 0° + i sin 0°) can be simplified as:

4(cos 0° + i sin 0°) = 4(1 + 0i)

= 4

Therefore, the rectangular (standard) form of the complex number is simply 4.

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Option C is the correct option.

The sampling distribution of proportion have center equal to population proportion.

As per the details share in the above question are as follow,

The details are as follow,

Only if: Is the proportion sampling distribution regularly distributed.

\(\mathrm{np} > 5 \text { and } \mathrm{n}(1-\mathrm{p}) > 5\)

The survey proportion's anticipated value is \(\mathrm{E}(\hat{\mathrm{p}})=\mathrm{p}\).

As a result, the center of the proportional sampling distribution is equal to the population percentage.

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Using the combination, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

In the given question,

We have to find how many 7 digit phone numbers are there in which the digits are non-increasing and that is, every digit is less than or equal to the previous one.

We have to write 7 digit phone number.

Let the 7 digit are

A, B, C, D, E, F, G

Every digit is less than or equal to the previous one.

A ≥ B ≥ C ≥ D ≥ E ≥ F ≥ G

The sum of these number is 7.

So |A| + |B| + |C| + |D| + |E| + |F| + |G| = 10

We always have precisely one non-increasing digit for any given set of seven digits. Therefore, the solution to our problem is to make it simpler to calculate the total number of combinations where 7 digits must be chosen from a set of 7 digits where each digit is repeatable.

So the solution should be

= \(^{7+7-1}C_{7}\)

= \(^{13}C_{7}\)

We know that \(^nC_{r}=\frac{n!}{r!(n-r)!}\)

= \(\frac{13!}{7!(13-7)!}\)

= \(\frac{13!}{7!6!}\)

Simplifying

= \(\frac{13\times12\times11\times10\times9\times8\times7!}{7!\times6\times5\times4\times3\times2\times1}\)

Simplifying

= 13×11×2×3×2

= 1716

Hence, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

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The standard error of the sample mean is 1.1793

The approximate standard deviation of a statistical sample population is known as the standard error (SE). By utilizing standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population.

The given humidities are 55 62 63 63 76

Do we have to find the standard error of the sample mean =?

The formula for the standard error is

SE = σ/n

The mean value is

x = (∑i\(x_{i}\) )/n

= (55+62+63+63+76)/5

= 319/5

= 63.8

Now the standard deviation is

σ = √((∑i〖(\(x_{i}\) -μ)〗^2 )/(n-1))

= √(〖(53-63.8)〗^2+〖(62-63.8)〗^2+...........+〖(76-63.8)〗^2 )/(5-1)

= √((-116.64-3.24-0.64-0.64+148.84)/4)

= √(27.86/4)

= √6.92

= 2.630

The value of standard error is

SE = σ/√n

= 2.630/√5

=  2.630/2.230

= 1.1793

Therefore the standard error is 1.1793

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The formula for the linear correlation coefficient (r) between two variables x and y is given by:  r = cov(x,y) / (std(x) * std(y)). Answer : we don't know the value of cov(x,y), we can't calculate r.

r = cov(x,y) / (std(x) * std(y))

where cov(x,y) is the covariance between x and y, and std(x) and std(y) are the standard deviations of x and y, respectively.

From the given information, we have:

Regression line: y = 9 - 11.5x + 0.36x

Standard deviations: std(x) = 30.5, std(y) = 24.4

To find the covariance between x and y, we need to know the values of x and y for the past two years. Assuming we don't have that information, we can use the regression line to estimate the values of y based on the given values of x.

Using the regression line, we have:

y = 9 - 11.5x + 0.36x

Substituting x with x - mean(x) and y with y - mean(y), we get:

y - mean(y) = 9 - 11.5(x - mean(x)) + 0.36(x - mean(x))

Expanding and simplifying, we get:

y - mean(y) = -11.14x + 344.7

Now we can use this equation to estimate the values of y for the given values of x, and then calculate the covariance and correlation coefficient.

Using the given values of x, we have:

x = [unknown values for the past two years]

Using the regression line to estimate the corresponding values of y, we get:

y = [9 - 11.5x + 0.36x for the unknown values of x]

Calculating the covariance between x and y, we get:

cov(x,y) = sum((x - mean(x)) * (y - mean(y))) / (n - 1)

where n is the number of observations. Since we don't have the actual values of x and y, we can't calculate the covariance directly.

Finally, using the formula for r, we get:

r = cov(x,y) / (std(x) * std(y))

Since we don't know the value of cov(x,y), we can't calculate r. Therefore, the answer is indeterminate.

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The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

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Answer:

C. 3x+2=4

Step-by-step explanation:

6x+4=8

Subtract 4 from both sides.

6x=4

Divide both sides by 6

x=4/6

Simplify it

x=2/3

3x+2=4

Subtract both sides by 2

3x=2

Divide both sides by 3

x=2/3

Hope this helps

Answer and Step-by-step explanation:

The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]

6x + 4 = 8

6x = 4

x = 2/3

_________________________________________________________

3x + 2 = 4

3x = 2

x = 2/3

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good luck and good luck on your search new

Answer:

43.96

Step-by-step explanation:

Circumference formula = 2πr

2*3.14*7 = 43.96

Yw.

Answer:

The answer is 3.18 miles/runner.

Step-by-step explanation:

To solve this problem, we need to find the distance that each member of the team runs. To do this, we have to divide the total distance of the race (12.72 miles) by the number of runners on the team (4 runners).

If we perform this operation, we get:

12.72 miles/4 runners

= 3.18 miles/runner

Therefore, the correct answer is that each team member runs 3.18 miles during the race.

Hope this helps!

The mean of the distribution of  \(\bar{x}\) and \(\bar{p}\) are \(\mu_{\bar{x}}=\mu\) and \(\mu_{\bar{p}}=p\). The standard deviation of the distribution of  \(\bar{x}\) and \(\bar{p}\) are \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\) and \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). So a suitable option is option D.

A distribution is the collection of all potential values for terms that reflect specified events in statistics. It is possible to calculate the expected value or mean of a statistical distribution by integrating the product of the variable's probability and the distribution's definition of that probability. This is represented by the symbol μ.

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean and a higher standard deviation shows that the data are more dispersed. This is represented by the symbol σ.

Here, the expected value for \(\bar{x}\) is written as    \(\mu_{\bar{x}}=\mu\) , and the standard deviation for \(\bar{x}\) is written as \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\). Similarly, the expected value for \(\bar{p}\) is written as \(\mu_{\bar{p}}=p\), and the standard deviation for \(\bar{p}\) is written as  \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). Therefore, the correct option for this will be D.

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The complete question is -

Which answer shows

i. The mean of the distribution of \(\bar{x}\).

ii. The standard deviation of the distribution of \(\bar{x}\).

iii. The mean of the distribution of \(\bar{p}\).

iv. The standard deviation of the distribution of \(\bar{p}\).

A.

i. \(\mu_{\bar{x}}=np\)

ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)

iii. \(\mu_{\hat{p}}=np\)

iv. \(\sqrt{np(1-p)}\)

B.

   i. \(\mu_{\hat{p}}=np\)

ii. \(\sigma_{\bar{x}}=\sqrt{np(1-p)}\)

iii. \(\mu_{\hat{p}}=\sqrt{np(1-p)}\)

iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)

C.

i. \(\mu_{\bar{x}}=p\)

ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)

iii. \(\mu_{\hat{p}}=\bar{x}\)

iv. \(\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}\)

D.

i. \(\mu_{\bar{x}}=\mu\)

ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)

iii. \(\mu_{\bar{p}}=p\)

iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)

E.

i. \(\mu_{\bar{x}}=\mu\)

ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)

iii. \(\mu_{\bar{p}}=p\)

iv. \(\sigma_{\hat{p}}=\frac{\sigma}{\sqrt{n}}\)

Answer:

Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. = 6

Step-by-step explanation:

this picture below shows how to solve the problem step by step hope this really helps !

Given :

Ruben put an empty cup underneath a leaking faucet.

After 1 ½ hours, Ruben had collected ¼ cup of water.

To Find :

The rate, in cups per hour, at which the water is leaking from the faucet.

Solution :

Rate in which cup is filling with water.

\(R=\dfrac{Portion\ of \ water \ filled }{Time\ taken}\\\\R = \dfrac{\dfrac{1}{4}}{1\dfrac{1}{2}}\\\\R= \dfrac{1\times 2}{4\times 3}\\\\R = 0.167 \ cup/hour\)

Therefore, the rate is 0.167 cup/hour.

Answer:

Fraction =  13/20

Decimal =  0.65

Percent = 65%

Step-by-step explanation:

Given:

13 out of 20 emails in mail inbox are junk emails

Solve for:

The experimental probability that next email is junk

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

The number of elements (junk emails) = 13

The total number of elements (all emails) = 20

=> P(obtain odd number in experiment) in fraction form = 13/20

=> P(obtain odd number in experiment) in decimal from = 0.65

=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%

Hope this helps!

:)

The statement "T/F. All first order linear differential equations should be solved by using the method of integrating factors" is False.

Explanation:First-order linear differential equations are those equations which are of the form y' + p(t)y = q(t). The Integrating factor method is one way of solving such differential equations. However, it is not the only method that can be used. There are other methods that can be used to solve such differential equations as well.It is not true that all first-order linear differential equations should be solved using the method of integrating factors. However, this method can be useful in many cases.

Differential equations are mathematical equations that involve derivatives. They are used to describe and model a wide range of phenomena in science, engineering, and other fields. A differential equation typically relates a function or a set of functions to their derivatives.

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The correct answer is False, not all first order linear differential equations should be solved by using the method of integrating factors.

Linear differential equations are types of differential equations that have only one independent variable and its derivatives.

Linear differential equations can be expressed in the following form:

y' + p(x)y = q(x)where y is the dependent variable, p(x) and q(x) are continuous functions of x.

There are several methods of solving linear differential equations, one of which is the method of integrating factors. This method is used when the coefficient of the y term is not constant.

The method of integrating factors involves multiplying both sides of the differential equation by an integrating factor to transform the equation into a form that can be easily solved by integration.

However, not all first order linear differential equations require the method of integrating factors for their solution. Some can be solved using separation of variables, while others can be solved using other methods.

Therefore, the statement "All first order linear differential equations should be solved by using the method of integrating factors" is false.

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The probability of A appearing before B is \(\frac{4}{7}\).

To find the probability that TA < TB, we can use the fact that the probability of a certain pattern appearing in a sequence of coin flips is independent of the position in the sequence. In other words, the probability of A appearing at time n is the same as the probability of A appearing at time n+k for any k.

Using this fact, we can set up a system of equations to solve for the probability of TA < TB. Let p be the probability of A appearing before B, and q be the probability of B appearing before A. Then we have:

\(p = \frac{1}{2} + \frac{1}{2q}\)  (since the first flip can be either 0 or 1 with equal probability)
\(q= \frac{1}{4p} + \frac{1}{2q} + \frac{1}{4}\) (if the first two flips are 0, the sequence B has appeared; if the first flip is 1 and the second is 0, the sequence is neither A nor B and we start over; if the first flip is 1 and the second is 1, we have a new chance for A to appear before B)

Solving for p, we get:
\(p=\frac{4}{7}\)

Therefore, the probability of A appearing before B is \(\frac{4}{7}\).

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Answer:

x > 11

Step-by-step explanation:

15 < 4 + x

Subtracting 4 from both sides (to get rid of the 4 on the right side) gives us:

15 - 4 < 4 + x - 4

11 < x

Answer:

x>11

Step-by-step explanation:

15<4+x

Simplify both sides of the inequality.

15<x+4

Flip the equation.

x+4>15

Subtract 4 from both sides.

x+4−4>15−4

x>11

Answer:

Step-by-step explanation:

If you distribute 6 to the  numbers inside the parenthesis, it means that you multiply both number by 6
2 x 6 = 12
3 x 6 = 18
the expression can be rewritten like the following:

12 + 18 = 30

The value of b in the triangle is 10.6 units.

A triangle is a a polygon with three sides. Therefore, the sides of the triangle can be found using the sine law.

Hence,

a / sin A = b / sin B = c / sin C

Therefore,

b / sin 27° = 15 / sin 40

cross multiply

b sin 40 = 15 sin 27

divide both sides by sin 40°

b = 15 sin 27 / sin 40

b = 15 × 0.45399049974 / 0.64278760968

b = 6.795 / 6.795

b = 10.5841121495

Therefore,

b = 10.6 units

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Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

Answer:

the answer is (3, -1)

Step-by-step explanation: Ap3X

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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