graph y = 1/4 x I dont know how to do

The statement that knowing the value of x tells you nothing about the value of y can be explained by several scenarios. One possible scenario is when the values of x and y are not related in any way. In other words, there is no mathematical or logical connection between them.

Another scenario where knowing the value of x tells you nothing about the value of y is when there are multiple possible values of y for a given value of x. This occurs when the relationship between x and y is not one-to-one. For instance, if x represents a person's age and y represents their height, knowing someone's age does not determine their height since there are different heights for different ages.

Furthermore, it is possible that there is a relationship between x and y, but the value of y is affected by other factors besides x. For example, if x represents the amount of time a student spends studying and y represents their grade on a test, knowing the value of x does not completely predict the value of y because other factors like natural ability and test-taking skills may also play a role in determining the grade.

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The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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Answer:

20

Step-by-step explanation:

Answer:

-16450

Step-by-step explanation:

Remove parentheses:

=4.7 * 10^3(2.35 * 10 - 27)

Multiply the numbers: 2.35 * 10 = 23.5

=10^3 * 4.7(23.5 - 27)

Subtract the numbers: 23.5 - 27 = -3.5

= 10^3 (-3.5) * 4.7

Remove parentheses:

= -4.7 * 10^3 * 3.5

Multiply the numbers: 4.7 * 3.5 = 16.45

= -10^3 * 16.45

Multiply the numbers: 16.45 * 1000 = 16450

= -16450

Answer:

b=-4

Step-by-step explanation:

-3b+6=18

-3b=12 (subtracted 6 from both sides)

b=-4 (divided both sides by -3)

The THREE true statements regarding the graph of B(w) are;

A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

We are given the graph represented by the quadratic function;

B(w) = 120w/(150 + w²) for w ≥ 0 that models;

the number of boxes, B, in thousands, of the cereal sold after w weeks

From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct

Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct

Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.

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There are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

To find the number of unique 4-digit integers (excluding leading zeros) where the sum of the digits is 6, we can use a combinatorial approach.

Let's consider the four digits as four distinct positions: A, B, C, and D. The sum of the four digits is 6, so we need to distribute these six units among these four positions.

We can solve this problem using stars and bars. Imagine we have six stars (representing the six units) and three bars (representing the three dividers between the positions). The bars help us separate the units into four distinct positions.

For example, if we have the configuration "* | * * | * * | *," it represents the digits 1, 2, 2, and 1. The sum of these digits is 6.

The number of ways to arrange the six stars and three bars is given by the binomial coefficient (6 + 3 choose 3). Using the formula for combinations, we have:

(6 + 3) C 3 = (9 C 3) = 9! / (3! * (9 - 3)!) = 84.

So, there are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

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It should be noted that a reflection is known as a flip and it's a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

Reflecting around x = 1 never touches the y coordinate, and the x coordinate transforms.

In other words, if a point were at x=π, it's distance to x=1 was π−1 so the new location is π−1 to the left of x=1.

The reflection is attached.

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The Bayesian multiple linear Regression model can better predict glucose level of residents as it has a higher credibility.

1. Multiple linear regression model using glucose as dependent variable and the rest of the variables as independent variablesVariables such as hypertension, age, and education significantly predict the glucose level of residents.

The multiple linear regression model is:y= b0 + b1x1 + b2x2 + b3x3 + b4x4 + b5x5 + b6x6 + e

Where:y= glucose level

b0 = constant

b1, b2, b3, b4, b5, and b6= Coefficient of each independent variable

x1= Education

x2= Age in years

x3= Gender

x4= BMI (Body Mass Index)

x5= Hypertension

x6= Family history of diabetes

Hence, the predictive model is:y = 77.7082 + (-2.5581) * Education + (0.2578) * Age + (5.7549) * Gender + (0.7328) * BMI + (2.9431) * Hypertension + (2.3017) * Family history of diabetes2.

Bayesian multiple linear regression model using glucose as dependent variable and the rest of the variables as independent variables

.Variables such as hypertension, gender, and age significantly predict glucose levels of residents.

The Bayesian multiple linear regression model:y= b0 + b1x1 + b2x2 + b3x3 + b4x4 + b5x5 + b6x6 + eWhere:y= glucose levelb0 = constantb1, b2, b3, b4, b5, and b6= Coefficient of each independent variable

x1= Education

x2= Age in years

x3= Gender

x4= BMI (Body Mass Index)

x5= Hypertension

x6= Family history of diabetes

Hence, the predictive model is:y = 77.6804 + (-2.4785) * Education + (0.2491) * Age + (5.7279) * Gender + (0.7395) * BMI + (2.9076) * Hypertension + (2.2878) * Family history of diabetes3.

The department should depend on the Bayesian multiple linear regression model in predicting the glucose level of residents.

This is because the Bayesian multiple linear regression model has a 95% credible interval, which is tighter compared to the 5% significant level of the multiple linear regression model.

Therefore, the Bayesian multiple linear regression model can better predict glucose level of residents as it has a higher credibility.

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One liter is 61.0237 cubic inches.

Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most basic mathematical methods that we employ on a daily basis. Multiplication in mathematics needs the addition of equal groups. The number of items in the group grows as we multiply. A multiplication issue includes both the two components and the product. The numbers 6 and 9 are factors in the multiplication problem, and the answer is 54. Multiplication is the process of computing the outcome of multiplying an integer by itself numerous times in elementary mathematics. Each integer is referred to as a product factor, and the outcome of multiplication is the product of and.

Here,

1 liter is equivalent to 61.0237 cubic inches.

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Answer:

C

Step-by-step explanation:

30+0.05n=40

0.05n=40-30=10

n= 10÷0.05

n=200

Answer:

Step-by-step explanation:

80

Answer:

80

Step-by-step explanation:

To find 125% of 64, you can multiply 64 by 1.25.

125% of 64 = 64 x 1.25 = 80

So, 125% of 64 is 80.

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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Answer:

√-48=4i√3

Step-by-step explanation:

because negative number never has a real root so 1st and 2nd option r out . i^2= -1 so root and Square cuts out eachother so i should be out of the root hence option 4th is also cut out. so 3 rd is correct.

Answer:

B

Step-by-step explanation:

The sections of the parallel roads split by the transversals are in proportion, that is

\(\frac{350}{300}\) = \(\frac{first}{1650}\) ( cross- multiply )

300 first = 577500 ( divide both sides by 300 )

first = 1925 ft

Thus

Elm st → Maple st = 1925 + 350 = 2275 ft → B

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

(a) The limit of [f(x) + g(x)] as x approaches c is 25/16.

(b) The limit of [f(x) ⋅ g(x)] as x approaches 4 is 25/64.

(c) The limit of g(x)/f(x) as x approaches e is 4/5.

(a) To find the limit of [f(x) + g(x)] as x approaches c, we add the limits of f(x) and g(x) separately. The limit of f(x) as x approaches c is 5/16, and the limit of g(x) as x approaches c is 5/4. Therefore, the limit of [f(x) + g(x)] as x approaches c is (5/16) + (5/4) = 25/16.

(b) To find the limit of [f(x) ⋅ g(x)] as x approaches 4, we multiply the limits of f(x) and g(x) separately. The limit of f(x) as x approaches 4 is 5/16, and the limit of g(x) as x approaches 4 is 5/4. Therefore, the limit of [f(x) ⋅ g(x)] as x approaches 4 is (5/16) ⋅ (5/4) = 25/64.

(c) To find the limit of g(x)/f(x) as x approaches e, we divide the limit of g(x) by the limit of f(x). The limit of g(x) as x approaches e is 5/4, and the limit of f(x) as x approaches e is 5/16. Therefore, the limit of g(x)/f(x) as x approaches e is (5/4) / (5/16) = 4/5.

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Answer:

e would equal a half because it's in the middle

The value of the double integral ∫∫\(\frac{y^{2} }{x^{2} +y^{2} }\) dA is 131.95.

We know that in polar coordinates, the circle become r = 4 and r = 16. These are the limits on the radius. Clearly the limits on the angle are

0 ≤ θ ≤ 2π.

Therefore we get,

∫∫ \(\frac{y^{2} }{x^{2} + y^{2} }\) dA = ∫ ∫ r²sin²θ / r² dr dθ

                  = ∫ sin²θ dθ ∫ r dr

                  = [ \(\frac{1}{2}\)θ - \(\frac{1}{4}\)sin(2θ)]₀²ⁿ[ \(\frac{1}{2}\) r²]₄¹⁰

                  = \(\frac{1}{4}\) (2π)(10² - 4²)

                  = 42π

∫∫ \(\frac{y^{2} }{x^{2} + y^{2} }\) dA = 131.95.

What is Polar coordinates?

When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction, it is known as the polar coordinate system.

Polar coordinates are useful in calculating the equations of motion from a lot of mechanical systems. Polar coordinate means the magnitude and direction of a vector.

Polar coordinate system of locating points in a plane with reference to a fixed point O and a ray from the origin usually chosen to be the positive x-axis.

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The correct answer is option D which is the function is even because of its symmetry about the y-axis.

The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.

Given function:-

f(x) = 3x⁴+2x²

Now put the value x = -x in the function

f(-x) = 3( -x⁴)+2(-x²)

f(-x) = 3x⁴ + 2x²

f(-x) = f(x)

here we can see that when we put the value of negative x the function remains unchanged.

Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.

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Answer:

1) 26mm

2) 2mm x (years of age) = 26

Step-by-step explanation:

The distance around the track along its outer edge is 740.4 meters and the area of the track is 2514 meter square.

A racing track consisting of two parallel stretches which are of 119 meters  long and 10 meters wide.

The other two ends are semicircular the inner distance between the two parallel stretches is 70 m.

Radius of Exterior = ( 70 + 10 ) m = 80 m

The circumference formula is given by:

Circumference = 2πr

= 2 (3.14) (80)

= 2 (251.20)

= 502.4

Now we have to calculate the distance around the track

The Distance Around the Track = Circumference + 2 (Length)

= 502.4 + 2 (119)

= 502.4 + 238

= 740.4 meters

The Area of track = The Area of the outer circle - The Area of the inner circle

= π × R square - π × r square

= 6364 - 3850

= 2514 meter square

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Answer:

wsz=23

Step-by-step explanation:

Answer:

a=6x^2

b=-5x

c=9

Step-by-step explanation:

Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

Answer:

3, 11 and 1312

Step-by-step explanation:

To find the three integers, you need to use the given information about the mean, median and range. The mean is the average of all the numbers in the set, and is found by adding all the numbers and dividing by the number of numbers. The median is the middle number in the set, and is found by ordering the numbers from smallest to largest and picking the middle one. The range is the difference between the highest and lowest numbers in the set12

Let x, y and z be the three integers, such that x ≤ y ≤ z. Then, we have:

Mean = 9 Median = 11 Range = 10

Using these facts, we can write three equations:

(x + y + z) / 3 = 9 y = 11 z - x = 10

Solving for x and z, we get:

x + y + z = 27 x + 11 + z = 27 x + z = 16

z = x + 10 x + (x + 10) = 16 2x = 6 x = 3

z = x + 10 z = 3 + 10 z = 13

Therefore, the three integers are 3, 11 and 1312

Answer:

u=47

Step-by-step explanation:

...................

The measure of angle U is 74 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

to determine the measure of angle U:

From the question, we have the following parameters that can be used in our computation:

△PQR ≅ △STU

If m ∠P = 62 degrees and m ∠Q = 45 degrees

The above parameters mean that

P  = S Q = T and R = U

So, we have

U = R = 180 - P - Q -- by the angles in a triangle theorem

So, we have

U = 180 - 61 - 45

   = 74

Evaluate

U = 74

Hence, the value of m ∠U is 74 degrees

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5( x + 1)

I hope this helps:)