10 yd
?
6 yd
13 yd
8 yd
4 yd

The given options are:

A. All customers of the newspaper

B. All visitors to the website

C. All workers who were recently fired

D. All people on the internet

The population in this situation is the group of individuals that the study aims to generalize to. The population can be interpreted as the group of interest or the larger group to which the findings are intended to apply.

In this case, the population would most likely be option B: All visitors to the website. This is because the study is conducted on the website of a certain newspaper, and the responses are collected from the visitors to that specific website.

The sample, on the other hand, is the subset of individuals from the population that is actually surveyed or observed. It is used to gather information about the population.

The given options for the sample are:

A. The people on the internet who approved

B. The customers of the newspaper who responded

C. The visitors to the website who approved

D. The visitors to the website who responded

Based on the information provided, the sample would be option D: The visitors to the website who responded. These are the individuals who actively participated in the survey by providing their response on the website.

Regarding whether to trust a confidence interval for the true proportion based on these data, it would depend on the representativeness of the sample. If the sample is a random and representative sample of the population, then a confidence interval can provide a reasonable estimate of the true proportion. However, if there are concerns about the sampling method, sample size, or potential biases in the sample, it may not be advisable to fully trust the confidence interval.

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Answer:

84°

Step-by-step explanation:

Alternating interior angles are congruent.

Answer:

C

Step-by-step explanation:

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

Answer:

The answer is

\(y = - 5x - 2\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, The is what the slope formula is ☟

\(m = \frac{y_2 - y_1 }{x_2 - x_1}\)

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 2 - 3}{0 - ( - 1)} = \frac{ - 5}{ \: \: \: 1} = - 5\)

➋Second: We find the y-intercept.

\(y = mx + b \\ 3 = - 5( - 1) + b \\ 3 = 5 + b \\ \frac{ - 5 = - 5 \ \ \: \: \: \: \: \: }{ - 2 = b}\)

➌Third: Plug in.

\(y = - 5x - 2\)

Answer:

\(\large \boxed{\mathrm{seven }}\)

Step-by-step explanation:

\(7^2\)

A number squared also means that the number is multiplied by itself twice.

\(7^2 =7 \times 7\)

Answer:

Step-by-step explanation:

fraction

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

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The prime factors of 135 are 3, 5. This can be found out by using prime factorisation method.

An integer that evenly splits a number, leaving no remainder, is referred to as a factor. Using division principles and divisibility rules, one can identify a number's factors.

The numbers that divide 135 without leaving a remainder are known as the factors of 135. In other terms, we can say that it will be completely divided by the factors of 135.

Although 135 can be divided into positive and negative components, it cannot be divided into decimals or fractions. The result of splitting 135 by its factor yields a quotient that is also a factor of 135.

A factor tree can be used to find out the prime factors of 135. It can be written as,

135 = 5 × 27

⇒ 5 × 3 × 9

⇒ 5 × 3 × 3 × 3

⇒ 3³ × 5

Consequently, 3 and 5 are the prime factors of 135.

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The median of the data set is 5.35.

To find the median, we need to first arrange the data set in order from smallest to largest. In this case, the data set is:

0.53, 5.2, 5.3, 5.35, 5.5, 53.

The median is the middle value of the data set. In this case, there are 6 values, so the median is the average of the 3rd and 4th values. In this case, 5.35 is the average of 5.3 and 5.35, so 5.35 is the median.

Therefore, the answer is 5.35 (Option d).

Median is a measure of central tendency and is used to describe a set of numerical values. It is the middle value when the values are arranged in ascending or descending order. It is the midpoint of a distribution and is often used as a measure of central tendency when the data is skewed or has outliers. The median is less affected by extreme values than the mean, making it a more accurate measure of the central location of the data.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

35+90=125

180-125=55

The interior angles of a triangle should always add up to 180 degrees

Answer:

B=55 degrees

Step-by-step explanation:

if the shape is a triangle then the sum of the angles of the triangle is 180

angles :A+B+C=180

35+B+90=180

B=180-125

B=55 degrees

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of logarithms.

Since here the log is on both sides, we take antilog on both sides, so we get as,

==> 2-x = -5x - 18

==> -x + 5x = -18 -2

==> 4x = -20

==> x = -20/4

==> x = -5

hence, x = -5

Let's set these two numbers as 'a' and 'b'

Now, let's set up equations based on the information known:

Equations

Solve:

  (Equation 1) + (Equation 2)

  2a = 80

     a = 40 -- equation 3

  (Equation 3)

     40 + b = 52

       b = 12

So a  = 40 and b = 12

Hope that helps!

To calculate the variances, we need to compare the actual costs and quantities with the standard costs and quantities. Let's calculate each variance step by step:

(a) Direct material price variance:

Actual cost of direct material = 160,000 litres x RM14/litre = RM2,240,000

Standard cost of direct material = 160,000 litres x RM15/litre = RM2,400,000

Direct material price variance = Actual cost - Standard cost

= RM2,240,000 - RM2,400,000

= -RM160,000 (unfavourable)

(b) Direct material usage variance:

Actual usage of direct material = 160,000 litres

Standard usage of direct material = 120,000 cans x 12 litres/can = 1,440,000 litres

Direct material usage variance = Standard cost - Actual cost

= RM2,400,000 - RM2,240,000

= RM160,000 (favourable)

(c) Direct labour rate variance:

Actual cost of direct labour = 55,000 hours x RM12.50/hour = RM687,500

Standard cost of direct labour = 120,000 cans x 4 hours/can x RM12/hour = RM5,760,000

Direct labour rate variance = Actual cost - Standard cost

= RM687,500 - RM5,760,000

= -RM5,072,500 (unfavourable)

(d) Direct labour efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Direct labour efficiency variance = Standard cost - Actual cost

= RM5,760,000 - RM687,500

= RM5,072,500 (favourable)

(e) Variable overhead expenditure variance:

Actual variable overhead = RM828,000

Standard variable overhead = 55,000 hours x RM16/hour = RM880,000

Variable overhead expenditure variance = Actual variable overhead - Standard variable overhead

= RM828,000 - RM880,000

= -RM52,000 (unfavourable)

(f) Fixed overhead efficiency variance:

Actual hours worked = 55,000 hours

Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours

Fixed overhead efficiency variance = Standard fixed overhead - Actual fixed overhead

= RM440,000 - (55,000 hours x RM10/hour)

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(g) Fixed overhead expenditure variance:

Actual fixed overhead = RM440,000

Standard fixed overhead = 55,000 hours x RM10/hour = RM550,000

Fixed overhead expenditure variance = Actual fixed overhead - Standard fixed overhead

= RM440,000 - RM550,000

= -RM110,000 (unfavourable)

(h) Possible cause for favourable direct labour rate and efficiency variances:

One possible cause for favourable direct labour rate and efficiency variances could be improved productivity or efficiency in the production process. It could be due to employees working more effectively, reducing the time required to complete tasks and thus resulting in lower costs. Additionally, the company may have negotiated lower labour rates or implemented cost-saving measures in the labour component.

Note: It's important to consider the given units and values while performing the calculations, and to round the variances appropriately based on the given requirements.

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According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

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Answer:

The answer is D

Step-by-step explanation:

Line them up.

Answer:

Step-by-step explanation:

Option A is correct

10g^3-8g^2+10g^2+5g+12g-14

10g^3+2g^2+17g-14

To convert them into improper Fractions and then subtract them.  the difference between 8 2/3 and 1 7/9 is 62/9 or 6 8/9.

To subtract mixed fractions like 8 2/3 and 1 7/9, we need to convert them into improper fractions and then subtract them.

Converting 8 2/3 to an improper fraction:

8 2/3 = (8 × 3 + 2) / 3 = 26/3

Converting 1 7/9 to an improper fraction:

1 7/9 = (1 × 9 + 7) / 9 = 16/9

Now, we can subtract these fractions by finding a common denominator:

26/3 - 16/9

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 9:(26/3)×(9/9) - (16/9)×(3/3)

Simplifying:234/27 - 48/27

Subtracting the numerators:186/27

Simplifying this fraction by dividing both the numerator and denominator by the greatest common factor, which is 3:62/9

Therefore, the difference between 8 2/3 and 1 7/9 is 62/9 or 6 8/9.

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The general integral is provided by y = C1e-t + C2te-t + (1/2)(t2)e-t.

(m + 1)2 =0 is the characteristic polynomial for the differential equation y" +2y' + y = e-t.

Roots -1, -1. yh = C1e-t + C2te-t is the answer to the homogeneous equation at that point.

Use the method of variation of parameters, taking into account the independent integrals y1 = e-t, y2 = te-t, and Wronskian

W(t) = e-2t, to derive the specific integral related to f(t) = e-t.

Then, use the conventional formula yp = - y1(t)(Integral of Y2(t)f(t)dt/W(t)) +y

Obtain yp = (1/2)(t2)e-t for the given situation.

As a result, the general integral is provided by

y = C1e-t + C2te-t + (1/2)(t2)e-t.

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Answer:

bottem left

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

answer is upper right

Answer:

1hour and 30 minutes each

The amount that the sales tax add to the purchase price is $5992.

Using this formula

Sales price=Purchase price-(Purchase price×Sales tax)

Where:

Purchase price=$5600

Sales tax=7%

Let plug in the formula

Sales price=$5600+($5600×7%)

Sales price=$5600+$392

Sales price=$5992

Inconclusion the amount that the sales tax add to the purchase price is $5992.

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Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

Answer:

y^¼

Step-by-step explanation:

when exponents are negative, it becomes a fraction with the positive exponent, thus having this answer

Answer:

15 ounces

Step-by-step explanation:

0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:

\( \ \frac{1}{100} = \frac{x}{1500} \)

Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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