(5k − 1 + 2k3) − (6k3 − 3k2 − 8) + (8k3 − 2k2 − 7k)

Answer:

672

Step-by-step explanation:

The mode (15) is not representative of the overall dataset either, as it only accounts for the most frequently occurring value.

The median is probably the best measure of central tendency to use for this dataset.
1. Arrange the dataset in ascending order, which is already done: 1,2,4,6,7,8,10,12,13,14,15,15,15,210,250
2. Since there are 15 values in the dataset, find the middle value by dividing 15 by 2: (15+1)/2 = 8.
3. Locate the 8th value in the dataset, which is the median: 10.
The median is a better choice than the mean and mode in this case because there are extreme values (210, 250) that would significantly affect the mean, making it less representative of the central tendency.

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Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

Step 2: Check if solution is correct.

Therefore, x = 5.

Answer:

Step-by-step explanation:

x+5=10           start with basic equation

-5      -5           subtract 5 from both sides

x=5              left with your answer

:)

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

0.0032

Step-by-step explanation:

We need to compute \(e^{0.4}\) by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

\(e^{0.4}\) < e < 3

Therefore, the Taylor's Error Bound formula is given by :

\($|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$\)   , where \($M=|F^{N+1}(x)|$\)

         \($\leq \frac{3}{(3+1)!} |-0.4|^4$\)

         \($\leq \frac{3}{24} \times (0.4)^4$\)

         \($\leq 0.0032$\)

Therefore, |Error| ≤ 0.0032

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Step-by-step explanation:

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

The expectation of the policy until the person reaches 61 is of -$4.

Step-by-step explanation:

We have these following probabilities:

0.954 probability of a loss of $50.

1 - 0.954 = 0.046 probability of "earning" 1000 - 50 = $950.

Find the expectation of the policy until the person reaches 61.

Each outcome multiplied by it's probability, so:

\(E = -0.954*50 + 0.046*950 = -4\)

The expectation of the policy until the person reaches 61 is of -$4.

Since

Then:

Therefore:

The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

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Answer:

6163.2 years

Step-by-step explanation:

A_t=A_0e^{-kt}

Where

A_t=Amount of C 14 after “t” year

A_0= Initial Amount

t= No. of years

k=constant

In our problem we are given that A_t is 54% that is if A_0=1 , A_t=0.54

Also , k=0.0001

We have to find t=?

Let us substitute these values in the formula

0.54=1* e^{-0.0001t}

Taking log on both sides to the base 10 we get

log 0.54=log e^{-0.0001t}

-0.267606 = -0.0001t*log e

-0.267606 = -0.0001t*0.4342

t=\frac{-0.267606}{-0.0001*0.4342}

t=6163.20

t=6163.20 years

PLEASE MARK BRAINLY

Answer:

24.5

Step-by-step explanation:

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

The most likely reason that Sora lists the activities of customers going through self-checkout is to prove the claim that self-checkout is eliminating jobs.

By observing and documenting the activities of customers using self-checkout, Sora may be gathering evidence to support the argument that self-checkout systems are replacing the need for human cashiers and leading to job loss in the retail industry.

By highlighting the tasks that customers can now perform independently, Sora may be emphasizing the efficiency and convenience of self-checkout systems, which can potentially lead to the reduction of cashier positions.

It's important to note that without more context, we cannot definitively determine Sora's exact intentions or motivations. However, based on the given options and the mention of activities related to self-checkout, the claim that self-checkout is eliminating jobs appears to be the most plausible reason for listing the activities of customers going through self-checkout.

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Answer:

homogeneous Add to list Share. If a group of things are homogeneous, they're all the same or similar, like a room full of identically dressed Elvis impersonators.

Step-by-step explanation:

Hello there. To solve this question, we'll have to remember some properties about rounding numbers.

Given the numbers 37.510, 81.021 and 69.412, we want to fill the gaps in the following table:

First, remember: Rounding to the nearest one is the same as not having the decimal places. For example, rounding 2.10 to the nearest one results in 2.

Rounding to the nearest ten is rounding to the nearest multiple of ten. For example, rounding 46.31 to the nearest ten results in 50 because it is closer to 50 than 40.

Rounding to the nearest tenth and hundreth is well known, just round the number to its first and second decimal places.

Filling the table, we have.

Ordering the sums from least to greatest, we have

187, 187.4, 187.94, 190.

Answer:

4cm I hope this helps

Step-by-step explanation:

The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.

To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.

Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y

Temperature difference = -31°C - (-56°C)

When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.

Temperature difference = -31°C + 56°C

To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

Absolute value of -31°C = 31°C

Absolute value of +56°C = 56°C

Since 56°C > 31°C, the result will have a positive sign.

Temperature difference = 56°C - 31°C = 25°C

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Answer:

what are you trying to say

Step-by-step explanation:

you need to give me more information before I give you an answer.

The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12. Options A and D are correct.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

The given statement is;

-12 ≤ -15

The preceding assertion is untrue since -12 and -15 are not equal, and because -15 is smaller than -12.

Correct statements are as follows;

It is a false statement because -12 is not equal to -15.

It is a false statement because -15 is less than -12.

Hence, options A and D are correct.

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Answer:

ok

Step-by-step explanation:

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

An equation is an expression that shows the relationship between two or more numbers and variables.

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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