100 POINTS AND BRAINLIST

Answer:

1/2 of a bushel of apples in the compost.

Explanation:

He then added one-third of the spoiled apples to his compost heap.

He put 1/2 of a bushel of apples in the compost.

a. Let \(d\) be the number of daytime calls Eshwa makes, and \(e\) the number of evening calls. Then the cost \(C\) (in pence) of making \(d+e\) calls is

\(C = \boxed{50d + 40e}\)

b. £1 = 100p, so the cost \(C'\) (in £) is 1/100 of the cost found in part (a),

\(C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}\)

c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is

\(C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}\)

c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is

\(C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}\)

d. Let \(e=40\) and \(C'=42\). Solve for \(d\).

\(42 = \dfrac d2 + \dfrac{2\cdot40}5\)

\(42 = \dfrac d2 + 16\)

\(\dfrac d2 = 26\)

\(d = \boxed{52}\)

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

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Answer:

1/6

Step-by-step explanation:

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

A triangle with two angles that measure 34°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔABC, the measure of the third angle is calculated as,

∠C + ∠B + ∠A = 180°

∠C + 112° + 34° = 180°

∠C = 34°

The measure of the two angles of the triangle is identical. Then the triangle will be an isosceles triangle.

A triangle with two angles that measure 34°. Then the correct option is A.

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The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:The transformation is described as a rotation of 180 degrees clockwise around the origin.

Step-by-step explanation:

z-score for value 550 =  0.5

z-score for value 660 = 1.6

z-score for value 500 = 0

z-score for value 440 = -0.6

z-score for value 270 = -2.3

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e.,  µ= 500 and  s= 100

The z score distribution is given by;

             Z =  (X-µ)/s ~ N(0,1)

where X represents the data values;

So, z score for value 550 is;

                z score =(550-500)/100  = 0.5

So, z score for value 660 is;

                z score = (660-500)/100  = 1.6

So, z score for value 500 is;

                z score = (550-500)/100  = 0

So, z score for value 440 is;

                z score =  (440-500)/100  = -0.6

So, z score for value 270 is;

                z score = (270-500)/100  = -2.3

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z-score for value 550 =  0.5

z-score for value 660 = 1.6

z-score for value 500 = 0

z-score for value 440 = -0.6

z-score for value 270 = -2.3

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e.,  µ= 500 and  s= 100

The z score distribution is given by;

            Z =  (X-µ)/s ~ N(0,1)

where X represents the data values;

So, z score for value 550 is;

               z score =(550-500)/100  = 0.5

So, z score for value 660 is;

               z score = (660-500)/100  = 1.6

So, z score for value 500 is;

               z score = (550-500)/100  = 0

So, z score for value 440 is;

               z score =  (440-500)/100  = -0.6

So, z score for value 270 is;

               z score = (270-500)/100  = -2.3

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Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q. Compute Marginal cost and average cost

Step-by-step explanation:

110 square units.

Step-by-step explanation:

Points X6,8 Y3,3 , and Z13,-3 form the triangular outline of a park. What is the area of △ XYZ ？ area of △ XYZ=  110 square units.

Answer:

53%

Step-by-step explanation:

Total voters = 5,800

5,800= 100%

3,074=X

X=3,074*100/5,800= 53%

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Complete question:

If sum of squares due to regression (SSR) is found to be 14,200 and sum of squares error (SSE) is 1525, then what is the value of total sum of squares (SST) ?

Answer:

The value of total sum of squares (SST) is 15,725.

Step-by-step explanation:

Given;

sum of squares due to regression (SSR) = 14,200

sum of squares error (SSE) =  1525

sum of squares (SST) = ?

The total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);

SST = SSR + SSE

Substitute the given values and solve for SST.

SST = 14,200 + 1525

SST = 15,725

Therefore, the value of total sum of squares (SST) is 15,725.

The value of the total sum of square (SST) is the sum of the sum of square Regression (SSR) and the Sum of Square Error (SSE). Hence, the Total sum of Square , SST is 15725

Given the Parameters :

The Total Sum of Square (SST) is defined thus :

SST = 1525 + 14200

SST = 15,725

Therefore, the Total Sum of Square for the analysis of variance relationship ls 15,725.

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The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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A) The first graph

It is indeed correct on Edge

The graph shows (u - v) for the given vectors u and v will be  the one with vectors at (-5, -2).

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

u = (-2, -3) and v = (3, -1)

So,

To subtract two vectors, subtract the corresponding components.

i.e. The difference of u and v  vector = ( u₁ - v₁, u₂ - v₂)

i.e.

u = (-2, -3) and v = (3, -1)

i.e.

u₁ = -2,

u₂ = -3,

v₁ = 3,

v₂ = -1

Now,

(u - v) = ( u₁ - v₁, u₂ - v₂)

i.e.

(u - v) = [( -2 - 3 ), ( -3 - (-1) )]

On solving,

We get,

(u - v) = (-5, -2)

Hence, we can say that the graph shows (u - v) for the given vectors u and v will be  the one with vectors at (-5, -2).

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Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Answer:

y=4x-22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-10)=4(x-3)

y+10=4(x-3)

y=4x-12-10

y=4x-22

Answer: I believe it would be 4

Step-by-step explanation I see that pattern of them being multiplied by four :

All the correct expressions which are equivalent are,

⇒ (a¹² / b²⁰)

⇒ ( b⁻²⁰/a⁻¹² )

⇒ ( b⁵/a³ )⁻⁴

Since, Mathematical expression is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, We have to given that;

Expression is,

⇒ (a³ / b⁵)⁴

Now, We can simplify by the rule of exponent as;

⇒ (a³ / b⁵)⁴

Take reciprocal as;

⇒ ( b⁵/a³ )⁻⁴

Multiply powers as;

⇒ ( b⁻²⁰/a⁻¹² )

And,

⇒ (a³ / b⁵)⁴

Multiply powers as;

⇒ (a¹² / b²⁰)

Therefore, All expressions are,

⇒ (a¹² / b²⁰)

⇒ ( b⁻²⁰/a⁻¹² )

⇒ ( b⁵/a³ )⁻⁴

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Answer:

$7

Step-by-step explanation:

70 / 10 = 7

Answer: $7.00

One container would cost $7 because if you can buy 10 for $70 you would have to solve

\(\frac{70}{10}\)

Which equals $7.00

Please mark brainliest if correct :)

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

Using the normal distribution, we have that:

a) The proportion  of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.

b)

Q1 = 1365.

Q2 = 1635.

IQR = 270.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, N(1500, 200) means that \(\mu = 1500, \sigma = 200\).

Item a:

The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:

X = 1750:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1750 - 1500}{200}\)

\(Z = 1.25\)

\(Z = 1.25\) has a p-value of 0.8944.

X = 1250:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1250 - 1500}{200}\)

\(Z = -1.25\)

\(Z = -1.25\) has a p-value of 0.1056.

0.8944 - 0.1056 = 0.7888 are medium.

1 - 0.7888 = 0.2112.

The proportion  of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.

Item b:

Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.675 = \frac{X - 1500}{200}\)

\(X - 1500 = -0.675(200)\)

\(X = 1365\)

Thus, Q1 = 1365.

Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.675 = \frac{X - 1500}{200}\)

\(X - 1500 = 0.675(200)\)

\(X = 1635\)

Thus, Q3 = 1635.

The IQR is the difference between Q3 and Q1, that is:

\(IQR = Q3 - Q1 = 1635 - 1365 = 270\)

Then, IQR = 270.

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The correct equation is:  5/6 - 1/6 = 4/6

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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Answer: (a)- \(0.99\ \text{units}\)

Step-by-step explanation:

Given

Central angle is \(57^{\circ}\)

The radius of the unit circle is \(1\ \text{unit}\)

Arc length is given by

\(\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r\)

Put the values

\(\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}\)

Answer:

hmmm

Step-by-step explanation:

yeah

Option A and B : This statements is generally false in probability theory.

A. P(A ∪ B) = P(A) + P(B) - This statement is generally false in probability theory. This is known as the inclusion-exclusion principle, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.

B. P(A | B) = P(A) - This statement is generally false in probability theory. In general, P(A | B) is not equal to P(A) because the occurrence of event B affects the probability of event A.

C. P(A ∩ B) = P(A)P(B) - This statement is generally true in probability theory. This is known as the independent events rule, which states that the probability of the intersection of two independent events is equal to the product of their individual probabilities.

D. P(A | B) + P(A' | B) = 1 - This statement is generally true in probability theory.

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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1                                                                                                                                    

A. P(A ∪ B) = P(A) + P(B)

B. P(A | B) = P(A)

C. P(A ∩ B) = P(A)P(B)

D. P(A | B) + P(A' | B) = 1