Help, please. I really need help one this

Answer:

14x + 36 = 15

Step-by-step explanation:

To remove the fractions, multiply the entire equation by the LCM of 9 and 6.

LCM of 9 and 6 = 18

Multiply the entire equation by 18,

    \(18*\dfrac{7}{9}x+*18*2=18*\dfrac{5}{6}\)

           2*7x + 36 = 3 *5

              14x + 36 = 15

Let's consider what the question asks for:

--> equation without fractions:

To get rid of fractions, we must multiply a common multiple of 9 and 6 to get rid of the bottom denominator:

 --> common multiple of 9 and 6: 54

Let's multiple:

  \(\dfrac{7}{9}x+2=\dfrac{5}{6} \\\\54*(\dfrac{7}{9}x+2} )=54*\dfrac{5}{6} \\\\6*7x+108=9*5\\\\42x+108=45\)

Answer: 42x + 108 = 45

Answer:

y=1/2x-1

Step-by-step explanation:

(a) The probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability of having at least one girl can be calculated by finding the probability of having no girls and subtracting it from 1.

Assuming that the probability of having a boy or a girl is equal (0.5), the probability of having no girls is (0.5)^4 = 0.0625.

Therefore, the probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability that all the children will be of the same gender can be calculated by finding the probability of having all boys and adding it to the probability of having all girls.

The probability of having all boys is (0.5)^4 = 0.0625, and the probability of having all girls is also 0.0625.

Therefore, the probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

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Answer:

The lines are parallel

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

If the lines are parallel then there is no point of intersection thus no solution.

There is no exact way to determine the probability of a child inheriting a skin condition such as peeling skin syndrome, as it is dependent on various genetic factors.

Unfortunately, the exact probability of a child inheriting a skin condition is difficult to determine due to various factors. It is possible that the child could inherit the skin condition, but the likelihood of this happening depends on a variety of genetic factors. It is best to speak to a genetic counselor for more information about the chances of the child inheriting the skin condition.

There is no exact way to determine the probability of a child inheriting a skin condition such as peeling skin syndrome, as it is dependent on various genetic factors. It is recommended to speak to a genetic counselor to get more information.

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Answer:

Step-by-step explanation:

We begin with m(x) = 3^x.

Then -m(x + 1) = -3^(x + 1).  Here we've inserted the ' - ' sign and replaced x with (x + 1).

A 95% confidence interval estimate for the variance of service times for all their new automobiles is (9.29, 31.95).

The 95% confidence interval estimate for the variance of service times for all their new automobiles is calculated as follows:

Lower limit of the confidence interval = (n - 1)S² / χ²₀.₀₂₅

Upper limit of the confidence interval = (n - 1)S² / χ²₀.₉₇₅

Where, n is the sample size, S is the sample standard deviation, and χ² is the chi-square distribution value with degrees of freedom (df) = n - 1. Here, n = 15 and df = n - 1 = 15 - 1 = 14.

So, the chi-square distribution values with df = 14 and α/2 = 0.025 and 1 - α/2 = 0.975 are χ²₀.₀₂₅ and χ²₀.₉₇₅, respectively.

From the chi-square distribution table, we get:

χ²₀.₀₂₅ = 5.632 and χ²₀.₉₇₅ = 25.996.

Now, substituting the given values in the above formula, we have:

Lower limit of the confidence interval = (15 - 1)(4²) / 5.632 = 31.95

Upper limit of the confidence interval = (15 - 1)(4²) / 25.996 = 9.29

Hence, the 95% confidence interval estimate for the variance of service times for all their new automobiles is (9.29, 31.95). Therefore, the answer is  (9.29, 31.95).

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The Chi-Square is denoted by χ2 and the formula is-

\(\sum\frac{(o-E)^2}{E}\)

The Chi-square test compares two sets of statistical data by using the

Chi-square formula. One of the most helpful non-parametric statistics is the chi-square. The Chi-Square test is used to determine whether a population's distribution across categories differs from what would be predicted by chance.

A very low Chi-Square test score indicates that your observed data and predicted data match each other very closely.

The data does not suit the data very well if the Chi-Square test score is quite high. If the chi-square value is high, the null hypothesis can be disproved.

One method for displaying the relationship between two category data is the Chi-Square. In statistics, there are two different sorts of variables: numerical variables and non-numerical variables.

The Chi-Square is denoted by χ2 and the formula is-

\(\sum\frac{(o-E)^2}{E}\)

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We have to factorized this polynomial.

To do that we can look for common factors between the two terms.

We decomposed each term as:

So only the factor 2 is common to both terms, so we can write the polynomial as:

Answer: 2*(11m^6-6n^6)

The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

5, 6, 7 and 8

Step-by-step explanation:

3(x+2) ≤ 30

(x+2) ≤ 10

x ≤ 8

4x+3 > 21

4x > 18

x > 4.5

Therefore 4.5 < x ≤ 8, round 4.5 to nearest interger

SOLUTION

The triangle in the picture has two sides to be equal. This means that the triangle is an isosceles triangle.

The base angles of an isosceles triangle are equal.

This implies that angle C = B = 49 degrees

So both angles B and C are 49 degrees each.

Now let's find angle A

A + B + C = 180 degrees (sum of angles in a triangle)

Then

The line bisects angle A into two equal triangles, that is angle y and the angle at the other side

This means that

Now let's find x.

Angles x, y, and B make up a triangle. This means that

Therefore, x = 90, and y = 41

Answer:

$12,760.13 (nearest cent)

Step-by-step explanation:

The formula to calculate the monthly payment for a loan with an APR is:

\(\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}\)

where:

Given values:

Substitute the given values into the formula to find the monthly payment:

\(\implies \sf PMT=\dfrac{10000 \cdot 0.006(1+0.006)^{84}}{(1+0.006)^{84}-1}\)

\(\implies \sf PMT = \dfrac{60(1.006)^{84}}{1.006^{84}-1}\)

\(\implies \sf PMT=151.9063658\)

To find the total paid, simply multiply the found monthly payment (PMT) by the term of the loan (in months):

\(\implies \sf Total\:paid=PMT \times 84\)

\(\implies \sf Total\:paid=151.9063658 \times 84\)

\(\implies \sf Total\:paid=12760.13473\)

Therefore, the total paid is $12,760.13 (nearest cent).

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The function f is continuous on the closed interval (1,7). If 7 to 1 f(x) dx= 42 and 3 to 7 f(x) dx= -32, then 3 to 1 2f(x) dx=-148 is not correct. The correct answer is option a.

We can use the linearity property of definite integrals to evaluate 3 to 1 2f(x) dx as follows:

3 to 1 2f(x) dx = 2 times the definite integral of f(x) from 1 to 3

+ 2 times the definite integral of f(x) from 3 to 7

- 2 times the definite integral of f(x) from 7 to 1

(Note that we have reversed the limits of integration for the last term.)

Using the given values, we have:

3 to 1 2f(x) dx = 2 times the definite integral of f(x) from 1 to 3

+ 2 times the definite integral of f(x) from 3 to 7

- 2 times (7 to 1 f(x) dx)

= 2 times (-32) + 2 times 42 - 2 times 42

= -64

Therefore, the answer is A. -148 is not correct.

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Answer:

Answer:

Since the calculated value of t=  -1.340 does not fall in the critical region , so we accept H0 and may conclude that the data do not provide sufficient evidence to indicate hat there is difference in mean carbohydrate content between "meals with potatoes" and "meals with no potatoes".

Step-by-step explanation:

Potatoes :   No Potatoes :           Difference           Difference (d)²

                                                   (Potatoes- No Potatoes)

29                 41                        -12                            144

25                 41                          -16                           256  

17                  37                        -20                            400

36                  29                       -7                              49

41                 30                          11                              121

25                 38                        -13                              169

32                39                        -7                                49

29                 10                          19                             361

38                29                          9                              81

34                 55                       -21                              441

24                29                         -5                              25

27                 27                         0                               0

29                 31                         -2                              4                    

∑                                                 -64                           2100              

H0 : μd= 0     and Ha:  μd≠0

2. The significance level alpha is set at α = 0.01

3. The test statistic under H0 is

t= d`/sd/√n

which has t distribution with n-1 degrees of freedom.

4. The critical region is t > t (0.005,12) = 3.055

5. Computations

d`= ∑d/n = -64/ 13= -4.923

sd²= ∑(di-d`)²/ n-1 = 1/n01 [ ∑di² - (∑di)²/n]

    = 1/12 [2100- ( -4.923)] = 175.410

sd= √175.410 = 13.244

t = d`/sd/√n= - 4.923/13.244/√13

t= - 4.923/3.67344

t= -1.340

6. Conclusion :

Since the calculated value of t=  -1.340 does not fall in the critical region , so we accept H0 and may conclude that the data do not provide sufficient evidence to indicate hat there is difference in mean carbohydrate content between "meals with potatoes" and "meals with no potatoes".

Answer:

Non of these.

Step-by-step explanation:

Answer:

comparing given quadratic eqn 4x²+15x+9=0 with ax²+bx+C=0,we get

a=4,b=15 and c=9

Now,sum of roots=-b/a=-15/4

and, product of roots=c/a=9/4

Answer:

The sum of its root is -15/4 and the product of its root is 9/4

STEP BY STEP EXPLANATION :

To find the sum of the root -b/a gonna help us

so let's substitute the numbers.

4x^2+15x+9, from the equation

then -b/a => -15/4.

to find the product of the root we use c/a then,

c/a => 9/4.

I hope it help you a lot thank you guys

Answer:

The slope is 1.

Step-by-step explanation:

Answer:

After 2 1/3 hours.

Step-by-step explanation:

For this you have to calculate how much hours is 1/3 of 7 hours. The word 'of' implies a multiplication function.

1/3 * 7 = 7/3 = 2 1/3

r+6  is the expression  represents the number of marbles that  conrad  has

Conrad has 6 more marbles than rory.

If r represents the number of marbles that rory has,

r = marbles that Rory has

r+6 = marbles that Conrad has

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In this analysis, we examine a time series and utilize three forecasting techniques: time series plot, three-quarter moving average, and exponential smoothing. We also explore the use of a multiple regression model to account for various patterns in the data. Forecasts are generated for the spring semester of year 4 using all three techniques, and the best forecasting method is determined by calculating the Mean Squared Error (MSE) for each approach.

A) A time series plot is constructed to visualize the pattern in the data. The type of pattern that exists can be identified from the plot.

B) To develop a three-quarter moving average forecast for the time series, we calculate the average of the current quarter and the two previous quarters. This moving average is then used to forecast future values.

C) Exponential smoothing with a smoothing factor (α) of 0.4 is used to compute the exponential smoothing values for the time series. This involves taking a weighted average of the current observation and the previous smoothed value. The forecasted values are obtained using the exponential smoothing formula.

4) A multiple regression model can be used to develop an equation that accounts for all types of patterns in the data. This involves identifying relevant predictor variables and fitting a regression model to the data. The equation would include coefficients for each predictor variable, allowing for the prediction of future values based on the values of the predictors.

5) Using the three techniques mentioned above (time series plot, three-quarter moving average, and exponential smoothing), forecasts can be generated for the spring semester of year 4. Each technique provides a different approach to forecasting based on the available data.

6) To determine the best forecasting method for this time series, the Mean Squared Error (MSE) is calculated for each technique. The MSE measures the average squared difference between the forecasted values and the actual values. Comparing the MSE values obtained from each technique allows us to identify the method that provides the smallest forecasting errors and, therefore, the best fit for the time series data.

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We will have the following:

So, its zeros are x = -3, x = 0 & x = 3.

Answer:

x= 45

I hope it's helps you

The limit of the given expression, lim √(1-x^(-1))/(3x), as x approaches 0, does not exist.

In the given expression, as x approaches 0, the denominator (3x) approaches 0, while the numerator (√(1-x^(-1))) approaches √1 = 1. This results in an indeterminate form of 1/0, which indicates that the limit does not exist. It means that the expression does not approach a specific finite value as x approaches 0.

To explain further, let's consider the behavior of the function as x approaches 0 from the right and left sides.

When x approaches 0 from the right (x > 0), the expression simplifies to √(1-x^(-1))/(3x). As x gets closer to 0 from the right, the denominator (3x) becomes smaller, resulting in the function values becoming larger and larger, approaching positive infinity.

On the other hand, when x approaches 0 from the left (x < 0), the expression remains the same, but the denominator (3x) becomes negative. As x gets closer to 0 from the left, the denominator (3x) becomes larger in magnitude, and the function values become smaller and smaller, approaching negative infinity.

Since the function approaches different values (positive infinity and negative infinity) from different sides as x approaches 0, the limit does not exist.

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Step-by-step explanation:

\( \frac{1}{u} + \frac{1}{v} = \frac{1}{f} \)

\( \frac{1}{v} = \frac{1}{f} - \frac{1}{u} \)

\( \frac{1}{v} = \frac{u - f}{uf} \)

\(v = \frac{uf}{u - f} \)

Answer: The selling price will be $1.68  

Step-by-step explanation:

If the magazine is marked-up by 12% , then you will multiply 12% by the amount of money then add it to the same amount of money.

1.50 * 12% = 0.18

1.50 + 0.18 = 1.68

18 ft is equal to 6 yards. A yard is one linear yards. "Yd" is the yard symbol. It is equivalent to three feet or 36 inches.

The majority of cloth is now sold by the linear yard. A linear yard is 36" long, with a width that varies depending on the cloth roll. Only the length of the material is considered when measuring in linear yards. To calculate square yards, multiply the length and width in yards. In a yard, there are 36 inches. The length of a yard of fabric is 36 inches. Calculating the amount of fabric required for a sewing job is a little more difficult than that, though. A yard of fabric is always one yard long, however the breadth varies depending on where you get it. Between 33 and 44 inches are the typical widths.

Add the conversion factor "0.33333333333278" to the number in feet.

So, 18 feet

= 18 × 0.33333333333278

= 5.99999999999 yards.

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The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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