By the argument in the last video, if the Xi are i.i.d. with mean μ and variance σ2 , and if Mn=(X1+⋯+Xn)/n , then we have an inequality of the form
P(|Mn−μ|≥ϵ)≤aσ2n,
for a suitable value of a .
a) If ϵ=0.1 , then the value of a is:
unanswered
b) If we change ϵ=0.1 to ϵ=0.1/k , for k≥1 (i.e., if we are interested in k times higher accuracy), how should we change n so that the value of the upper bound does not change from the value calculated in part (a)?

The chef used 4/10 (or 2/5) more packages of sausage than pepperoni. Answer: 2/5.

To solve the given problem, we need to find out how much more pepperoni than sausage the chef used.

We are given that the chef of a popular pizza shop used 5 1/5 packages of pepperoni and 2 8/10 packages of sausage.

Let's write these fractions with a common denominator:

Pepperoni used = 5 1/5 = 26/5

Sausage used = 2 8/10 = 28/10

Now, we can find the difference between the two:26/5 - 28/10

We can simplify 26/5 as follows:26/5 - 56/10

Now, both fractions have a common denominator of

10:52/10 - 56/10= -4/10

So, the chef used 4/10 (or 2/5) more packages of sausage than pepperoni

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Answer:

82

Step-by-step explanation:

10z^2-2z-2

10x3^2-2x3-2

90-6-2

90-8

82

Answer:

82

Step-by-step explanation:

Evaluate 10z² - 2z - 2 where z = 3:

\( \longrightarrow \) 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2

3² = 9:

\( \longrightarrow \) 10 × 9 - 2 × 3 - 2

10 × 9 = 90:

\( \longrightarrow \) 90 - 2 × 3 - 2

-2 × 3 = -6:

\( \longrightarrow \) 90 - 6 - 2

90 - 6 - 2 = 90 - (6 + 2):

\( \longrightarrow \) 90 - (6 + 2)

6 + 2 = 8:

\( \longrightarrow \) 90 - 8

\( \longrightarrow \) 82

Estimates suggest that up to 90% of children with disabilities have some type of nutritional problem.

These children often face unique challenges that can contribute to a higher risk of nutritional deficiencies or imbalances.

Disabilities can affect various aspects of a child's health, including their ability to eat, digest, absorb nutrients, and maintain a healthy weight.

Additionally, certain disabilities may require specific dietary restrictions or specialized nutritional interventions, which can further complicate their nutritional status.

It is crucial to address these nutritional issues and provide appropriate support to ensure the optimal growth and development of children with disabilities.

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Answer:

d. No, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

It doesnt give u measures of some important angles. I also got it right

Answer:

D. no, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

edge2021

Answer:

1 pint of milk

Step-by-step explanation:

1/2 pint -> .52X2=$1.04 for 1 pint

1 quart -> $2.10/2=$1.05 for 1 pint

there is 4 pints in 1/2 gallon so .99 X 4 = 3.96 for 1/2 gallon

hope this helps

Answer:

guest what you need milk

Step-by-step explanation:

Heres your answer 109 +8yt -5x

Answer:

Option 3

Step-by-step explanation:

Reflecting across the x axis will map the compass from Quadrant IV to Quadrant I.

Rotating 180 degrees will map the compass from Quadrant I to Quadrant III.

The only option with the compass in Quadrant III is Option 3

The coordinate of point x is 12

The number line that completes the question is added as an attachment

The ratio is given as:

mx :xj = 3:1.

Also, we have:

M = 2

J = 18

So, we have

x = mx/(mx + xj) * (J - M)

This gives

x = 3/4 * (18 - 2)

Evaluate

x = 12

Hence, the coordinate of point x is 12

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Answer:hope this helps

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

One equivalent expression for the final price that can be used to determined that condition is 0.9095g. On the other hand, you can also write it on formula  $g - ($g x 0.15).

As per given

Before calculating the final price, you have to find the price before the tax. The price before the tax will be:

Price before the tax = Item cost - (Item cost x discount)

Price before the tax = $g - ($g x 0.15)

Price before the tax = $0.85g

Then calculate the final price as follow

Final price = Price before the tax + (Price before the tax x Tax)

Final price = 0.85g + (0.85 x 0.07)

Final price = 0.9095g

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Answer:

k = (-55) / 8

k = (-3005) / 8

k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 510(0.309016^2))) / 2)^2)) / 2)^2)) / 2

k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 1469.59)))))^2)) / 2)

To find the acute angle between two vectors, we can use the dot product formula:

angle = arccos((a * b) / (||a|| * ||b||))

where a and b are the vectors, * is the dot product, and ||a|| and ||b|| are the magnitudes of the vectors a and b, respectively.

In this case, the dot product of a and b is (i - kj) * (i + j) = i^2 - kj * i + kj * i + kj^2 = 2i - k^2j

The magnitudes of the vectors a and b are ||a|| = sqrt(i^2 + (-kj)^2) = sqrt(1 + k^2) and ||b|| = sqrt(i^2 + j^2) = sqrt(2).

Substituting these values into the formula above, we get:

angle = arccos((2i - k^2j) / (sqrt(1 + k^2) * sqrt(2)))

Since the angle is given to be 60 degrees, we can set this equal to 60 degrees and solve for k:

60 = arccos((2i - k^2j) / (sqrt(1 + k^2) * sqrt(2)))

We can use the inverse cosine function to solve for k:

k = sqrt(1 / (cos(60)^2 - (2i / sqrt(1 + k^2) * sqrt(2))^2))

Since cos(60) = 0.5, we can substitute this value in and solve for k:

k = sqrt(1 / (0.5^2 - (2i / sqrt(1 + k^2) * sqrt(2))^2))

k = sqrt(1 / (0.25 - (2i / sqrt(1 + k^2) * sqrt(2))^2))

k = sqrt(1 / (0.25 - (4i^2 / (1 + k^2) * 2)^2))

k = sqrt(1 / (0.25 - (16 / (1 + k^2))^2))

k = sqrt(1 / (0.25 - 256 / (1 + k^2)^2))

k = sqrt((1 + k^2)^2 / (256 - (1 + k^2)^2))

k = sqrt((1 + k^4) / (256 - 1 - 2k^2 - k^4))

k = sqrt((k^4 + 1) / (255 - 2k^2))

We can then solve for the roots of this equation to find the possible values of k:

k = sqrt((k^4 + 1) / (255 - 2k^2))

k^4 - (255 - 2k^2)k^2 + 1 = 0

This is a quartic equation and can be solved using the quartic formula:

k = sqrt((-b +- sqrt(b^2 - 4ac)) / 2a)

where a, b, and c are the coefficients of the polynomial. In this case, a = 1, b = -(255 - 2k^2), and c = 1.

Substituting these values into the quartic formula, we get:

k = sqrt((-(-(255 - 2k^2)) +- sqrt((-(255 - 2k^2))^2 - 4 * 1 * 1)) / 2 * 1)

k = sqrt((255 - 2k^2 +- sqrt((255 - 2k^2)^2 - 4)) / 2)

k = sqrt((255 - 2k^2 +- sqrt(255^2 - 510k^2 + 4k^4)) / 2)

k = sqrt((255 - 2k^2 +- sqrt(255^2 - 510k^2)) / 2)

k = sqrt((255 - 2k^2 +- sqrt(65025 - 510k^2)) / 2)

Solving for the roots of this equation gives us the possible values of k:

k = (-255 + sqrt(65025 - 510k^2)) / 2

k = (-255 - sqrt(65025 - 510k^2)) / 2

The first equation gives us one possible value of k:

k = (-255 + sqrt(65025 - 510k^2)) / 2

Substituting k = (-255 + sqrt(65025 - 510k^2)) / 2 into the second equation gives us the second possible value of k:

k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2

Simplifying this expression gives us the final possible value of k:

k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2)^2)) / 2

Therefore, the possible values of k are:

k = (-255 + sqrt(65025 - 510k^2)) / 2

k = (-255 - sqrt(65025 - 510((-255 + sqrt(65025 - 510k^2)) / 2)^2)) / 2

solve for k in each

To solve for k in the first equation, we can isolate k by moving everything else to the right side of the equation:

k = (-255 + sqrt(65025 - 510k^2)) / 2

2k = -255 + sqrt(65025 - 510k^2)

2k + 255 = sqrt(65025 - 510k^2)

(2k + 255)^2 = 65025 - 510k^2

4k^2 + 1020k + 65025 = 65025 - 510k^2

4k^2 + 1530k + 65025 = 0

This is a quadratic equation, and we can use the quadratic formula to solve for k:

k = (-b +- sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the polynomial. In this case, a = 4, b = 1530, and c = 65025.

Substituting these values into the quadratic formula gives us:

k = (-1530 +- sqrt(1530^2 - 4 * 4 * 65025)) / 2 * 4

k = (-1530 +- sqrt(3080400 - 2601000)) / 8

k = (-1530 +- sqrt(477900)) / 8

k = (-1530 +- sqrt(222725)) / 8

k = (-1530 + 1475) / 8

k = (-55) / 8

k = (-1530 - 1475) / 8

k = (-3005) / 8

Therefore, the solutions to the first equation are:

k = (-55) / 8

k = (-3005) / 8

Answer:

15.56

Step-by-step explanation:

Total flour available=35 cups

Each cake=2 1/4 cups

Find how many cakes Pauline can bake with 35 cups of flour

Let the number of cakes she can bake with 35 cups of flour=x

x=35 cups / 2 1/4 cups

=35÷9/4

=35×4/9

=140/9

=15 5/9 cakes

=15.56 cakes approximately

Answer:

(-1,2)

Step-by-step explanation:

The solutions to the system is where the lines intersect

The lines intersect at the point  (-1,2)

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

The equation of a line is represented as,

y = mx + c                                       equation1

x and y are the coordinates of the point from where the line is passing and m is the slope of the line.

As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).

The slope of the line through the point (-1,6) can also be written as   (y - 6)/(x - (-1))  =  (y-6)/(x+1).

i.e., m = (y-6)/(x+1)

On equating both the values of m, we will get

(y-6)/(x+1) = 1/2

On simplifying, we get

2y - 12 = x +1

or  2y - x = 13

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

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Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Based on the given data, there is evidence to suggest that the mean monthly income of the customers in the store is higher than P20 000.

The null hypothesis is that the mean monthly income of the customers in the store is P20 000, while the alternative hypothesis is that the mean monthly income is not P20 000. With a significance level of alpha = 0.5, a two-tailed t-test will be used to determine if there is sufficient evidence to reject the null hypothesis.

Using a t-test calculator, the calculated t-value is 7.07, which exceeds the critical t-value of 1.645. This indicates that there is sufficient evidence to reject the null hypothesis and accept the alternative hypothesis that the mean monthly income of the customers in the store is not P20 000.

However, it is important to note that this conclusion is only based on a sample of 90 customers and may not necessarily represent the entire population of the store's customers. A larger sample size may be needed to increase the accuracy and reliability of the results.

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False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

5

Step-by-step explanation:

The computation is shown below:

Given that

3(-2m + 5) - 6(-4m - 2)

-6m + 15 + 24m + 12

18m + 27

Divided by 9

2m + 3

Here a = 2

And, b = 3

So, a + b = 2 + 3 = 5

The expected value of your net winnings, x, is $1.39.

To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).

1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.

Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:

E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39

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Based on the calculations, the sample standard deviation is equal to 4.

A z-value is also referred to as a z-score 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, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{\bar x\;-\;u}{\delta}\)

Where:

In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:

Note: Variance, δ² = 16

Taking the square root of the variance, we have:

Standard deviation, δ = √16

Standard deviation, δ = 4.

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Complete Question:

A sample of n=225 scores has \(\bar x\) = 103 and δ² = 16. What is the sample standard deviation?

Answer:

18 : 7

I hope this help I would also appreciate brainliest please :)

The value of x is 4.47 units

In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.

Consider the bottom triangle

Base of the triangle = 6 units

The hypotenuse of the triangle = 9 units

Apply the Pythagorean theorem

The third side of the triangle = \(\sqrt{9^2-6^2}\)

= \(\sqrt{81-36}\)

= \(\sqrt{45}\) units

Similarly consider the top triangle

The base of the triangle = 5 units

The hypotenuse of the triangle = \(\sqrt{45}\) units

The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)

= \(\sqrt{45-25}\)

= \(\sqrt{20}\)

= 4.47 units

Hence, the value of x is 4.47 units

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Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = \(-\frac{7}{5}\)

From the concepts and properties of triangles, m∠BDC is 26°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is equal to 180°.

In the given ΔABD, line segment AD and BD are equal and hence it is an isosceles triangle.

Therefore,

x° + x° + 70° = 180°.

2x° = 110°.

x = 55°.

So, m∠DAB = m∠DBA = 55°.

We know the sum of linear pair of angles is 180°.

Therefore, m∠ABD + m∠DBC = 180°.

55° + m∠DBC = 180°.

m∠DBC = 125°.

Now,

m∠BDC + m∠DCB + m∠CBD = 180.

m∠BDC + 29° + 125° = 180°.

m∠BDC = 26°.

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Answer:

1) x=5, y=5sqrt(2)

2) x=14

3) 7sqrt(2)

Step-by-step explanation:

I will give you a quick lesson.

The formula is a² + b² = c²

The longest line(usually the bottom) is C

If something is squared, multiply it by itself, for example, 6² is 36, multiply 6 by 6(6 x 6).

Do the same thing with a and b.

Then add a and b after you square them.

To make the number smaller, square root it.

Then you will get your answer, don't forget the exponent.

Sorry for not giving you the answer, but I hope this quick lesson helped you, this is how I learned, I hope this makes it easier for you. Have a GOOD DAY!

(2n+7)(n+1)(n-1). So the first one.

A

Step-by-step explanation:

(1.7×8.0)/3.4 ×10^23-14-23

=4×10^-14

Answer: A

Step-by-step explanation: I did this on paper so its hard for me to write it done, like I cant copy and paste lol.

Answer:

It’s b I think

Step-by-step explanation:I is big dumb