please help me I'm being timed ​

The chance of obtaining a total of 7 when rolling two shaved dice is 2/25. When the dice are rolled independently for a total of 6 times, the number of times a total of 7 is obtained follows a binomial distribution with parameters n = 6 and p = 3/20.

To solve this problem, we can use the concept of probability and counting techniques.

(a) Finding the chance of obtaining a total of 7 when rolling two shaved dice:

We have two possibilities to obtain a total of 7: (1, 6) and (6, 1). The chance of rolling a 1 or 6 on each die is 1/5, so the probability of getting (1, 6) or (6, 1) is (1/5) * (1/5) = 1/25. Since there are two possible outcomes, we multiply this probability by 2:

P(total of 7) = 2 * (1/25) = 2/25.

(b) Finding the pmf and cdf for the number of times a total of 7 is obtained in 6 rolls:

Let's calculate the probability mass function (pmf) and cumulative distribution function (cdf) for the random variable Y, representing the number of times a total of 7 is obtained in 6 rolls.

To obtain the pmf, we need to find the probability of each possible value of Y, which can range from 0 to 6.

Y = 0: The total of 7 is not obtained at all in 6 rolls.

To calculate this probability, we need to find the probability of not rolling a total of 7 in a single roll, which is 1 - P(total of 7).

P(Y = 0) = \((1 - 2/25)^6\) = \((23/25)^6\).

Y = 1: The total of 7 is obtained exactly once in 6 rolls.

To calculate this probability, we need to find the probability of rolling a total of 7 once and not rolling it the remaining 5 times.

P(Y = 1) = 6 * (2/25) * \((23/25)^5\).

Y = 2: The total of 7 is obtained exactly twice in 6 rolls.

P(Y = 2) = C(6, 2) * \((2/25)^2\) * \((23/25)^4\).

Similarly, we can calculate the probabilities for Y = 3, 4, 5, and 6.

The cumulative distribution function (cdf) gives the probability that Y takes on a value less than or equal to a given number.

CDF(Y ≤ 0) = P(Y = 0).

CDF(Y ≤ 1) = P(Y = 0) + P(Y = 1).

CDF(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2).

And so on...

Once we have the pmf and cdf values, we can plot them using a line graph, with the x-axis representing the values of Y and the y-axis representing the probability values. We'll indicate the cdf's value at each jump point with small darkened circles.

Now, let's calculate the pmf and cdf values for Y and plot them.

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Answer:

5% = 0.05

10.5%= 0.105

135%= 1. 35

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

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The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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Answer:

go how many points up down left right and thats your answer as a fraction

Step-by-step explanation:

.

The answer is (-5,3), since both Point F and Line D are 5 units away from point (-5,3).

Answer:

2/9 ft/month

Step-by-step explanation:

A growth of 2/3 foot in 3 months =

= (2/3 ft)/(3 months)

= (2/3) / 3 ft/month

= 2/3 * 1/3 ft/month

= 2/9 ft/month

Answer:

( x+6)(x+8)

Step-by-step explanation:

x^2 + 14x + 48

What 2 numbers multiply to 48 and add to 14

6*8 = 48

6+8 = 14

( x+6)(x+8)

x² + 14x + 48 [ Given ]

By split middle term ,we get:

=> x² + 8x + 6x + 48

=> x ( x + 8 ) + 6 ( x + 8 )

=> ( x + 6 ) ( x + 8 )

Answer:

\(1\frac{1}{2}\)

Step-by-step explanation:

The first step to solving this problem is to convert these into improper fractions.

\(7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}\)

\(5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}\)

The second step is to determine the reciprocal of the second term.

Reciprocal of \(\frac{46}{9} =\frac{9}{46}\)

The third step is to multiply the first term by the reciprocal of the second term.

\(\frac{23}{3}*\frac{9}{46}=\frac{207}{138}\)

The fourth step is to reduce this fraction.

\(\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}\)

Answer:

1 1/2 or 3/2

Step-by-step explanation:

First you need to make your fractions improper.

7 times 3 + 2 = 23, so the fraction is 23/3

5 times 9 + 1 = 46, so the fraction is 46/9

Since this is division, flip the second fraction.

So instead of 46/9, it's now 9/46

Now you can multiply.

23/3 + 9/46 = 207/138

207/138 simplified is 3/2, or  1  1/2

Hope this helped! Leave a comment if it did. :)

Given the ODE,

(x² - 4)y" + 3xy + y = 0, we need to find the power series solution about x = 0 in the form of y = Σⁿ₀ Cn(x - 0)ⁿ.

Let us substitute y = Σⁿ₀ Cn xⁿ, y" = Σⁿ₂ Cn (n)(n - 1)xⁿ⁻², and y' = Σⁿ₁ Cn (n)xⁿ⁻¹ in the given ODE.

So, we get, Σⁿ₂ Cn (n)(n - 1)xⁿ + Σⁿ₀ Cn (x² - 4) Σⁿ₁ Cn (n)xⁿ⁻¹ + Σⁿ₀ Cn xⁿ = 0

Therefore, Σⁿ₀ [Cn {(n)(n - 1) + (n + 2)(n + 1) - 1} + 3Cn⁻¹ (n + 1) - 4Cn₋₂] xⁿ = 0

Comparing the coefficients of xⁿ,

we have the recurrence relation as below: Cn {(n)(n - 1) + (n + 2)(n + 1) - 1} + 3Cn⁻¹ (n + 1) - 4Cn₋₂ = 0=> Cn {(n² - 1) + (n² + 3n + 2) - 1} + 3Cn⁻¹ (n + 1) - 4Cn₋₂ = 0=> Cn (2n² + 3n) + 3Cn⁻¹ (n + 1) - 4Cn₋₂ = 0

As the ODE is a regular singular point, the radius of convergence is 2.

So, the required power series solution is: y = C₀ (x - 0)⁰ + C₁ (x - 0)¹ + Σⁿ₂ Cn xⁿ where Cn is given by the recurrence relation Cn (2n² + 3n) + 3Cn⁻¹ (n + 1) - 4Cn₋₂ = 0.

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Answer:-2

Step-by-step explanation: hope this helps!!

Answer:

-2

Step-by-step explanation:

5x + 2x -8 = 5x + x - 10

2x - x = 8-10

x = -2

Since we want to find the number of trips to the park for which paying daily admission is more expensive than purchasing a season pass​, we can express an inequality, like this:

total daily admission cost > season pass cost

The total daily admission cost, can be expressed as the number of days that this pass is purchased (n) times the daily admission cost ($39), and the season pass cost equlas $117, then we get:

$39*n > $117

From this expression we can solve for n, then we get:

Then, more than 3 daily passes would be more expensive than the season pass. Since it must be more than 3, the answer is 4 trips

Answer: 2hours

Step-by-step explanation:

Allison does 3/4 and Amir does 1/4

Amir can do 1/8 in 1hr, how long will it take to complete ¼ work

1/4 ÷ 1/8 =2

The probability that a 0 is received can be found using conditional probability. Let's denote the event that a 0 is sent as S0, and the event that a 0 is received as R0. We want to find P(R0), the probability that a 0 is received.

Using the law of total probability, we can express P(R0) as the sum of the probabilities of receiving a 0 given that a 0 or a 1 was sent, weighted by the probabilities of sending a 0 or a 1:

\(P(R0) = P(R0|S0)P(S0) + P(R0|S1)P(S1)\)

We are given that the probe sends a 1 one-third of the time and a 0 two-thirds of the time, so we have:

P(S0) = 2/3
P(S1) = 1/3

We are also given the probabilities of receiving a 0 or a 1 correctly or incorrectly, so we have:

P(R0|S0) = 0.6
P(R1|S0) = 0.4
P(R0|S1) = 0.2
P(R1|S1) = 0.8

Plugging these values into the formula for P(R0), we get:

P(R0) = (0.6)(2/3) + (0.8)(1/3)
     = 1/2

Therefore, the probability that a 0 is received is 1/2, or 50%.

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To verify that the probability density function (PDF) f(x) satisfies the property that its integral over the entire range is equal to 1, we need to calculate the definite integral of f(x) over its entire support.

The PDF f(x) is given as x^3/3 for 1 < x < 2 and 0 elsewhere. To find the integral of f(x), we need to integrate x^3/3 with respect to x over the interval (1, 2) and then evaluate the integral.

Integrating x^3/3 with respect to x gives us (1/4)x^4. Evaluating this integral over the interval (1, 2), we have:

(1/4)(2^4) - (1/4)(1^4) = (1/4)(16 - 1) = (1/4)(15) = 15/4

The integral of f(x) over its entire support is 15/4. Since the PDF represents a probability distribution, the integral of the PDF over its entire support should be equal to 1. However, the integral we calculated is 15/4, which is not equal to 1.

This indicates that the given PDF does not satisfy the property of being a valid probability density function. It seems there might be an error in the given PDF or in the given range of x. Double-checking the problem statement or the provided information is advised to ensure accuracy.

As for finding P(x > 1), we can integrate the PDF f(x) from x = 1 to x = infinity. However, since the PDF is defined as 0 for x outside the range (1, 2), the probability of x being greater than 1 is simply the integral of f(x) from 1 to 2.

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The probability that x is greater than 1 is infinity.

To verify that f(x)dx equals 1, we need to integrate the probability density function (PDF) over its entire range. In this case, the range is from 1 to 2.

The PDF is given as:

f(x) = (x^3)/3 1 < x < 2

f(x) = 0 elsewhere

To find the integral of f(x)dx over the range [1, 2], we can integrate the function as follows:

∫[1,2] f(x)dx = ∫[1,2] (x^3)/3 dx

To solve this integral, we can apply the power rule of integration. Integrating x^n with respect to x results in (x^(n+1))/(n+1). Applying this rule, we have:

∫[1,2] (x^3)/3 dx = [(x^4)/12] evaluated from 1 to 2

= [(2^4)/12] - [(1^4)/12]

= (16/12) - (1/12)

= 15/12

= 5/4

Thus, the integral of f(x)dx over the range [1, 2] is equal to 5/4.

Since the integral of the PDF over its entire range should equal 1, we need to find a constant C that scales the PDF to satisfy this condition. We can do this by dividing the PDF by the integral we just calculated:

f(x) = (x^3)/3 * (4/5)

Now, let's find P(x > 1), which represents the probability that x is greater than 1. Since the PDF is zero for x less than or equal to 1, we can integrate the PDF from 1 to infinity to calculate this probability:

P(x > 1) = ∫[1,∞] f(x)dx

Integrating the scaled PDF from 1 to infinity:

P(x > 1) = ∫[1,∞] (x^3)/3 * (4/5) dx

To solve this integral, we can find the antiderivative using the power rule of integration:

P(x > 1) = [(x^4)/12 * (4/5)] evaluated from 1 to ∞

Now, as x approaches infinity, the value of (x^4)/12 diminishes, so we have:

P(x > 1) = (4/5) * lim┬(t→∞)⁡〖[(t^4)/12] - [(1^4)/12]〗

Simplifying this expression:

P(x > 1) = (4/5) * [(∞^4)/12 - 1/12]

Since (∞^4) represents infinity, we can say that (∞^4)/12 is also infinity. Therefore:

P(x > 1) = (4/5) * ∞ = ∞

Hence, the probability that x is greater than 1 is infinity.

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Answer:

I-11I

Step-by-step explanation:

To find the distance between two numbers, find the absolute value of each number and add them together.

I-11I = 11

I0I = 0

11 + 0 = 11

Answer:

Hope this helps!

Step-by-step explanation:

The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.

Answer: $1.95

Step-by-step explanation:

Old Cost price = $19.50

Discount Percent = 10%

Discount = 10% × $19.50

= 10/100 × $19.50

= 0.1 × $19.50

= $1.95

Therefore, Alex will save $1.95

Answer:

Since the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has also shown significant change.​

the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has shown significant change. The number of bluegill fish has decreased from 2,465 in 2016 to 1,094 in 2021.

Answer:

Step-by-step explanation:

The required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system. which is the correct answer would be an option (A).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The video game system will cost at least $450.

He earns $6 per hour babysitting and $10 per hour tutoring.

Let x be the number of hours babysitting and y be the number of hours of tutoring.

According to the given situation, we can write the inequality would be as:

⇒ 6x + 10y ≥ 450

Rearrange the terms of variables in the above inequality,

⇒ 10y ≥ 450 - 6x

Divided by 10 into both sides of the above inequality,

⇒ 10y/10 ≥ 450/10 - 6x/10

⇒ y ≥ 45 - 0.6x or

⇒ y ≥ - 0.6x + 45

Thus, the required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system.

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Answer:

Step-by-step explanation:

Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.

If x = 1;

y = 2(1)

y = 2

Hence when x = 1, y = 2

If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.

y = 2(3)

y = 6

Hence when x = 3, y = 6

when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.

If y = x-3

y = 0-3

y = -3

Hence when x = 0, y = -3

when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero

If y = x-3 for x≤0

y = -2-3

y = -5

Hence when x = -2, y = -5

Answer:

y = 5/3

x = 8/3

Steps:

y = x - 1

2x + y = 7

Substitute y = x-1

(2x + x - 1 = 7)

Simplify: 3x - 1 = 7

Isolate x: 3x - 1 = 7:  x=8/3

Plug the valuse of x into the other equation (y = x- 1):    y = 8/3 - 1

8/3 - 1 = 5/3

y = 5/3

y = 5/3, x = 8/3

Answer:

-17.6,-13.8,-9.4,-3.6,-3.2,13.8

From number line the closer a decimal number is to zero the greater it is

Answer:

Step-by-step explanation: it is x=x

Answer:

x=x

Step-by-step explanation:

The quotient of two integers can be positive, negative, or zero depending on the signs of the dividend and divisor.

When dividing two integers, the quotient can be positive, negative, or zero. The sign of the quotient depends on the signs of the dividend and the divisor. If both the dividend and divisor have the same sign (both positive or both negative), the quotient will be positive.

If they have opposite signs, the quotient will be negative. If the dividend is zero, the quotient is zero regardless of the divisor.

For example, when we divide 12 by 4, we get a quotient of 3, which is positive because both 12 and 4 are positive integers. However, when we divide -12 by 4, we get a quotient of -3, which is negative because the dividend (-12) is negative and the divisor (4) is positive.

Finally, if we divide 0 by any integer, the quotient is always 0.

Therefore, the quotient of two integers can be positive, negative, or zero depending on the signs of the dividend and divisor.

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The student who has the highest relative score among the three students is: Steph.

A relative score is also referred to as a z-core or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, the relative score can be calculated by using this formula:

\(z=\frac{x\;-\;u}{\sigma}\)

Where:

For Ted, the relative score is given by:

z = (74 - 61)/9

z = 1.44

For Christina, the relative score is given by:

z = (192 - 170)/17

z = 1.29

For Steph, the relative score is given by:

z = (324 - 285)/26

z = 1.5

Therefore, Steph has the highest relative score.

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Answer:

The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8

Step-by-step explanation:

Perimeter for rectangle:

2(x+4) + 2x

2x + 8 + 2x

4x + 8

Perimeter for the square:

4(x+2)

4x + 8