Please solve fast. Q.No. 26 and 29.
26. x²+5x+25/4
27. x²/4y²-2/3+4y²/9x²​

Answer:

I believe the answer would be b

Step-by-step explanation:

Solve equation 1 for the variable  y  

y = -5x  

 Plug this in for variable  y  in equation

4•(-5x) + 12x = 16

- 8x = 16

Solve equation 2 for the variable  x  

8x = - 16  

x = - 2  

so far we know this

y = -5x

x = -2

Use the  x  value to solve for  y  

 y = -5(-2) = 10

which would give us the answer B

Answer:

y- intercept (0, -1.2)

x- intercept (-3, 0)

Step-by-step explanation:

Line is given:

Y- intercept:

When x= 0

Point is (0, -1.2)

X- intercept:

When y = 0

Point is (-3, 0)

For provide normal distribution such that

x ~ n(15, 3), 68.27% of the data lie between the values of x as x= 12 to x= 18 .The range of x-values is centered around the mean of the distribution (that is, 15).

Normal Probability:

This problem uses the Z-score formula to calculate the range such that 68.27% of the data falls within the range. Z-scores are normal scores, plotted on a normal curve with mean 0 and variance 1. The Excel function NORM.S.INV() is used to get the score value.

We have given that

Mean, μ = 15

Standard deviation, σ = 3

P( a <X<b) = 0.6827

P( (a − μ)/(σ < X − μ )/σ <(b− μ)σ) = 0.6827

P ( a- 15) /3 < Z < (b- 15)/3) = 0.6827

P( Z< (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

1 - P( Z > (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

(Symmetrical Property)

We know that,

P( Z> (b-15)/3) = P( Z< ( a - 15)/3) ( symmetric)

2 × P( Z< ( a - 15)/3) = 0.3173

P( Z< ( a - 15)/3) = 0.15865

Now,

Excel function for the value of z score:

=NORM.S.INV(0.15865)

(a − 15)/3 = -1.00

=> a-15 = -3

=> a = 12 and b = 15 + 3 = 18

Hence, the values of x are 12 and 18 where 68.27% data lie.

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The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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The following statements are true:

The red light is reflected.

The blue light is absorbed.

When white light, which consists of a combination of all visible colors, illuminates the book with a red cover, the red light component in the white light is reflected by the book cover. As a result, we perceive the book to be red since that is the color of light being reflected back to our eyes.

On the other hand, the blue light component in the white light is not reflected by the red book cover. Instead, it is absorbed by the cover, which means the material of the book cover absorbs the blue light and does not reflect it back. Consequently, we do not see the blue light, and the book still appears to be red.

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The dimensions of the rectangle are width = 6 cm and length = 18 cm.

Let's begin by putting variables on the rectangle's measurements.

Let's call the width "w" and the length "l".

From the problem statement, we know that:

l = 4w - 6 (since the length is 6 centimeters less than 4 times the width)

We also understand that the following formula determines a rectangle's perimeter:

perimeter = 2(length + width)

So, for this rectangle, we have:

perimeter = 2(l + w)

perimeter = 2((4w - 6) + w)

perimeter = 2(5w - 6)

perimeter = 10w - 12

We are given that the perimeter is 48 centimeters, so we can set up an equation and solve for "w":

10w - 12 = 48

10w = 60

w = 6

Now that we know the width is 6 centimeters, we can use the equation we derived earlier to find the length:

l = 4w - 6

l = 4(6) - 6

l = 18

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Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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Answer:

53.6, 53.61, 53.77, 54

Step-by-step explanation:

That's the right order

Answer:

77.00

Step-by-step explanation:

the price is going by 1.50 a year so it would be 77.00 in 2020

Answer:

3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.

Step-by-step explanation:

Answer:

-5.2, -5.6, and  -5.8.

Step-by-step explanation:

3 rational numbers between -5 and -6.

-5 > x > -6

Where x is a rational number, that can be expressed in p/q form.

The numbers can be -5.2, -5.6, and -5.8.

-5.2 = -26/5

-5.6 = -28/5

-5.8 = -29/5

The numbers can be expressed in p/q form, so they are rational.

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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The proportions of parts produced within specifications by the two shifts at a 4% significance level with the help of an equation.

A formula exists in every equation. Some equations do not have formulae. Equations are designed to be solved for a variable.

(a) To estimate the difference in proportions of parts produced within specifications by the two shifts, we need to calculate the confidence interval.

First, we can calculate the sample proportions of parts produced within specifications for each shift:

For the day shift, the sample proportion is:

p1 = 188/200 = 0.94

p2 = 180/200 = 0.90

p1 - p2 = 0.94 - 0.90 = 0.04

To calculate the confidence interval, we can use the following formula:

(point estimate) ± (critical value) x (standard error)

We will use a 96% confidence level, so our critical value is z* = 2.05 (from the z-table).

The standard error can be calculated as follows:

SE = sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2))

where n1 and n2 are the sample sizes.

Substituting in our values, we get:

SE = sqrt((0.94*(1-0.94)/200) + (0.90*(1-0.90)/200))

SE = 0.040

Now we can calculate the confidence interval:

0.04 ± 2.05(0.040)

The confidence interval is (0.003, 0.077).

Therefore, we are 96% confident that the true difference in proportions of parts produced within specifications by the two shifts is between 0.003 and 0.077.

(b) To determine whether the difference in proportions of parts produced within specifications by the two shifts is significantly different from 0, we need to check if 0 is within the confidence interval we calculated.

Since the confidence interval does not include 0, we can conclude that the difference in proportions of parts produced within specifications by the two shifts is significantly different from 0 at a 96% confidence level.

(c) The hypotheses of interest for the significance test are:

H0: p1 - p2 = 0 (There is no difference in proportions of parts produced within specifications by the two shifts)

Ha: p1 - p2 ≠ 0 (There is a difference in proportions of parts produced within specifications by the two shifts)

We will use a significance level of α = 0.04.

To perform the significance test, we need to calculate the test statistic:

z = (p1 - p2 - 0) / SE

where p1, p2, and SE are the same as calculated in part (a).

Substituting in our values, we get:

z = (0.94 - 0.90 - 0) / 0.040

z = 1.00

Using a z-table, we find that the p-value for a two-tailed test with z = 1.00 is approximately 0.317.

Since the p-value is greater than our significance level of 0.04, we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that there is a difference in proportions of parts produced within specifications by the two shifts at a 4% significance level.

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Assuming that the height of Dutch men follows a normal distribution with a mean of 183 cm and a standard deviation of 10.5 cm, we can calculate probabilities and expectations related to their height.

To calculate the probability of a Dutch male being shorter than 175 cm (question a), we can use the standard normal distribution table or standardize the value using the z-score formula and then find the corresponding cumulative probability. Similarly, for the probability of being taller than 195 cm (question b), we can calculate the complementary probability of being shorter than 195 cm.

To find the probability of a Dutch male being between 173 and 193 cm (question c), we need to calculate the difference between the cumulative probabilities of being shorter than 193 cm and being shorter than 173 cm.

For question d, we can use the normal distribution properties to estimate the expected number of Dutch men taller than 190 cm in a random sample of 1000 individuals. We can do this by multiplying the probability of being taller than 190 cm by the sample size.

By performing these calculations, we can provide probabilities and estimates related to the height distribution of Dutch men based on the given mean and standard deviation.

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The standard error of the proportion decreases as the sample size increases. This means that larger sample sizes provide more accurate estimates of the population proportion.

To calculate the standard error of the proportion, we can use the formula:
SE = √(p(1-p)/n)
Where:
SE = standard error
p = proportion of the population
n = sample size
For each sample size, we can plug in the values and calculate the standard error:
A. For a sample size of 30:
SE = √(0.39(1-0.39)/30) = 0.088
B. For a sample size of 60:
SE = √(0.39(1-0.39)/60) = 0.062
C. For a sample size of 90:
SE = √(0.39(1-0.39)/90) = 0.051

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Answer:

Step-by-step explanation:

-5/2

To find the slope you need to use rise/run which is basically difference of y coordinates over difference of x coordinates

so first, pick 2 coordinates that you know in that linear relationship like in this case

(0,3) and (2,-2)

do rise/run which will look like this

=(y2-y1)/(x2-x1)

=(3-(-2))/(0-2)

=-5/2

Answer:

The answer is 15 - p = k

Answer:

Text Answer

y = 5x -24

Picture Answer

A = -8
B = 4
C = -24

Text Step-by-Step

Find the equation of the straight line that passes through (5, 6) and (8, 21). Give answer in y-intercept form.

slope = \(\frac{21-6}{8-5} = \frac{15}{3} = 5\)

y = 5x + b

Substitute the first point into my equation with unknown y-intercept.

6 = 5(5) + b

6 = 30 + b

b = -24

Equation of the line is:  y = 5x -24

Picture Step-by-Step

Find the y-value for each respective x-value.

y = -x³ - 5x² +4

A = y(-2)

   = -(-2)³ - 5(-2)² + 4

   = 8 - 20 + 4

   = -8

B = y(0)

   = -(0)³ - 5(0)² + 4

   = 0 - 0 + 4

   = 4

C = y(2)

   = -(2)³ - 5(2)² + 4

   = -8 - 20 + 4

   = -24

Answer:

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The factored forms of the equations and the intercepts would be:

g(x) = x² - 4x - 21:

h(x) = x² + 8x + 12:

For g(x) = x² - 4x - 21:

To find the factored form, we need to factor the quadratic expression:

g(x) = (x - 7)(x + 3)

To find the x-intercepts, we set g(x) = 0 and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

To find the y-intercept, we set x = 0 and evaluate g(x):

g(0) = (0 - 7)(0 + 3) = -21

Therefore, the y-intercept of g(x) is (0,-21).

For h(x) = x² + 8x + 12:

h(x) = (x + 2)(x + 6)

To find the x-intercepts, we set h(x) = 0 and solve for x:

(x + 2)(x + 6) = 0

x = -2 or x = -6

To find the y-intercept, we set x = 0 and evaluate h(x):

h(0) = (0 + 2)(0 + 6) = 12

Therefore, the y-intercept of h(x) is (0,12).

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Answer: 18 mins

Step-by-step explanation

there is 3600 secs in an hour so do the same for this.

6 mins is 360 secs and times 360 by 3 is 1080 and then double it they figure out how many mins is 2160 im sorry if thats confusing.

There are 7 people in Mr. Wilson's class, as Zach is the second person and Mary is the seventh person.

To calculate the total number of people in the class, we can use the formula 2x = 7, where x is the total number of people. Solving for x, we get x = 7.

To determine the number of people in Mr. Wilson's class, we can use the formula for the number of people in a circle, which is N = 2(n-1), where n is the number of people standing opposite each other in the circle. In this case, n is 2 (Zach and Mary). Therefore, N = 2(2-1) = 2 people. However, since there are 7 people in total in the circle, we can conclude that the number of people in Mr. Wilson's class is 7. To explain further, based on the given information, we can say that Zach is the second person, which means there are 2 people before him in the circle. Therefore, there are 7 people in Mr. Wilson's class. To further explain, we can break down the equation as follows: The person opposite of Zach is the seventh person, or 7th, so we can say that 7 is equal to the number of people in the class multiplied by 2, or 2x. Then, solving for x, we get x = 7. This means that the total number of people in the class is 7.

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Answer:

fr

Step-by-step explanation:

fr

In classification analysis, we are determining the probability of an observation belonging to a specific class or category.

In classification analysis, we aim to assign observations to predefined classes or categories based on their features or characteristics. This analysis involves training a model on a labeled dataset, where each observation is associated with a known class.

During the training phase, the classification model learns patterns and relationships in the input data to make predictions about the class labels of unseen observations. The model estimates the probability of an observation belonging to each class based on the learned patterns.

To determine the probability of an observation belonging to a specific class, the classification model calculates a score or probability value for each class. These scores indicate the model's confidence in the prediction. The probability values are often derived from a probabilistic algorithm or a mathematical function such as logistic regression or a decision tree.

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Answer:

4\(m^{3}\) +13m² + 4m - 12

Step-by-step explanation:

Use FOIL type method:

(4m^2 +5m - 6)(m+2)

= (4m^2)(m) + (5m)(m) - (6)(m) + (4m^2)(2) + (5m)(2) - (6)(2)

= 4m^3 +5m^2 +8m^2 -6m +10m -12

combine like terms:

= 4m^3 +13m^2 + 4m -12

the variable expensive in Luis's spreadsheet are groceries and fuel.Variable expenses are those that can change from month to month based on usage or consumption.

Looking at the given expenses, the variable expenses in Luis's spreadsheet would be:

1. Groceries: The amounts for groceries vary from month to month. In January, the expense is $315.43, in February it is $367.25, and in March it is $341.04. These amounts indicate that the grocery expenses are not fixed and can fluctuate.

2. Fuel: The amounts for fuel also differ for each month. In January, the expense is $72.18, in February it is $152.74, and in March it is $0.00. The varying amounts suggest that fuel expenses are dependent on usage and can vary.

On the other hand, the following expenses appear to be fixed or consistent:

1. Rent: The rent expense remains the same throughout the three months at $1,250.00.

2. Utility bill: The utility bill expenses also remain consistent in each month at $124.11, $108.72, and $121.69.

3. Car loan payment: The car loan payment remains unchanged at $384.00 for each month.

4. Insurance payment: The insurance payment is also consistent in each month at $97.18.

Therefore, the variable expensive in Luis's spreadsheet are groceries and fuel.

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The value of x that satisfies the given conditions is approximately 7.

Given that KLMN is similar to PQRS. This means that the corresponding sides of these two angles are proportional. We can use this property to set up a proportion between the sides of the two angles.

Let LM and RQ be corresponding sides in the two triangles, and let KN and SP be the other corresponding sides. Then we have:

LM/RQ = KN/SP

Substituting the given values, we get:

(4x + 4)/48 = (7x - 9)/60

To solve for x, we cross-multiply, which gives us:

(4x + 4) * 60 = (7x - 9) * 48

Expanding both sides, we get:

336x - 432 = 240x + 240

Simplifying and solving for x, we get:

96x = 672

x = 7

Therefore, the value of x that satisfies the given conditions is approximately 7.

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Answer:

Step-by-step explanation:

Given that :

Number of teams = 14

Each team plays every other team twice ;

Using the combination formula :

nCr = n! ÷ (n-r)! r!

14C2 = 14! ÷ (14 - 2)! 2!

14C2 = 14! ÷ (12)! 2!

14C2 = (14 * 13) ÷ 2 * 1

14C2 = 182 / 2

14C2 = 91

Hence, since they are going to be playing each other twice :

2(14C2)

2 * 91 = 182games