Which tables could be used to verify that the functions they represent are the inverse of each other? select two.

Answer:

no

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: The rational numbers include all positive numbers, negative numbers, and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals, and repeating decimals are all rational numbers.

How do you reconcile a bank statement?

Step 1: Adjust the bank statement balance. All your transactions for the month may not be on your bank statement. ...

Step 2: Adjust the check register balance. Your bank statement may include items that you didn't record in the check register. ...

Step 3: Compare the adjusted balances.

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: WHATS THE ANSWER???!?!

Step-by-step explanation:

Answer:

thanks for the free points. btw it is 18

Step-by-step explanation:

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

picture05

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

Step-by-step explanation:

The probability that the married couple will have adjacent desks is 0.22.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible arrangements where the married coupe has adjacent desks is 80640.

= 8 x 7! x 2

= 80640

Ans the total number of possible arrangements is 362880.

= 9!

= 362880

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 80640/362880

probability = 0.22

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Answer:

24.28%

Step-by-step explanation

percent saved(p)/100 (net income)(weeks needed) = (total needed)

p/100 ($123.56)(9) = $270

p/100 (1112.04) = $270

1112.04p/100 = $270

p = 24.279%

p = 24.28%

If a = \(\left[\begin{array}{ccc}1&0&-4\\0&3&-2\\-2&6&3\end{array}\right]\) , b = \(\left[\begin{array}{ccc}4\\1\\-4\end{array}\right]\) and we denote the columns of A by a₁, a₂, a₃, and let W = Span {a₁, a₂, a₃,} , then b is not in {a₁, a₂, a₃} .

The Span of set of vectors is set of all linear combinations of those vectors. In other words, it's the set of all possible vectors that can be created by taking a weighted sum of the original vectors.

The span of a set of vectors is a subspace of the vector space in which the vectors lie, and it's the smallest subspace that contains all of the original vectors.

The vector b is not in {a₁,a₂,a₃} because "b" is not equal to any of the column vectors of A. Clearly, there are only 3 vectors in {a₁,a₂,a₃}.

The given question is incomplete , the complete question is

a = \(\left[\begin{array}{ccc}1&0&-4\\0&3&-2\\-2&6&3\end{array}\right]\) , b = \(\left[\begin{array}{ccc}4\\1\\-4\end{array}\right]\) . Denote the columns of A by a₁, a₂, a₃, and let W = Span {a₁, a₂, a₃,}.  Is b in {a₁, a₂, a₃} ?

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Answer:

2,228

Step-by-step explanation:

Each unit will make 13.25 in profit before incorporating the one time cost. This means that 29,521/13.25= the amount needed to break even.

Step-by-step explanation:

YELLOW TRIANGLE:

\( \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6\)

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

\( \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6\)

PINK TRIANGLE:

\( \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} \)

Answer:

sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont  want to read that  its D

hope it helped anyone :)

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right.

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

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Answer:

x= 2/3

Step-by-step explanation:

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Answer:

Mr. Brown was speeding at around 59 miles per hour.

Explanation:

If 1 kilometer = 0.62 mile, then:

95 km/h = 59.03 mph

55 < 59

Mr. Brown was going 4 mph over the speed limit.

Grammar's fundamental building blocks are words. Words are collections of letters and sounds, and spaces are used to divide each word. Hyphenated words and other compound words are examples of words with several parts. Even though they are pronounced similarly, some words have diverse meanings. A word's pronunciation or definition may change drastically throughout time, from the time it was first used to the present.

Phrases can be created by combining words. Over time, several expressions gain popularity and are used in contexts beyond their original intent. These expressions acquire an idiomatic connotation and stop having a literal meaning. If a term or idiom only gains popularity in a certain area or among a particular demographic.

To determine the meaning of words and phrases as they are stated in a text means to understand the intended meaning of those words and phrases in the context in which they are used in the text. This can involve looking at the definitions of the words, the context in which they are used, and the broader themes or ideas being discussed in the text. It is important to consider the language and terminology used in a text, as well as the perspective of the author and the intended audience, in order to fully understand the meaning of the words and phrases as they are stated in the text.

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Answer:

Tara can make 14 smaller bags.

Step-by-step explanation:

The resulting fraction is 35/12..Converting the fraction back to a mixed number, we find that 35/12 is equal to 2 and 11/12.Comparing this result to 2 and k/12, we can see that k = 11.5 and 2/3 minus 2 and 3/4 equals 2 and 11/12, where k = 11.

To prove that 5 and 2/3 minus 2 and 3/4 is equal to 2 and k/12, we'll perform the necessary operations to determine the value of k.

First, let's convert the mixed numbers into improper fractions:5 and 2/3 can be written as (3*5 + 2)/3 = 17/3.

2 and 3/4 can be written as (4*2 + 3)/4 = 11/4.

Now, subtracting these fractions: (17/3) - (11/4).

To find the common denominator, we multiply the denominators: 3 * 4 = 12.Rewriting the fractions with the common denominator, we have: (68/12) - (33/12).Subtracting the numerators, we get: 68 - 33 = 35.

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Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.

In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.

The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.

By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.

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\(Prove\ that\ the\ assumption \is \true for\ n=1\\1^3=\frac{1^2(1+1)^2}{4}\\ 1=\frac{4}{4}=1\\\)

Formula works when n=1

Assume the formula also works, when n=k.

Prove that the formula works, when n=k+1

\(1^3+2^3+3^3...+k^3+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k+1)^2}{4}+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k^2+2k+1)}{4}+(k+1)^3=\frac{(k^2+2k+1)(k^2+4k+4)}{4} \\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+4k^3+4k^2+2k^3+8k^2+8k+k^2+4k+4}{4}\\\\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+2k^3+k^2}{4}+\frac{4k^3+12k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+6k^3+13k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\)

Since the formula has been proven with n=1 and n=k+1, it is true. \(\square\)

In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (Ha) are used to assess the validity of a claim or statement about a population parameter.

Here are the answers to the given questions:

12. The null and alternative hypotheses divide all possibilities into:

b. Two non-overlapping sets

The null hypothesis and the alternative hypothesis are mutually exclusive and collectively exhaustive.

They represent two distinct possibilities or explanations regarding the population parameter being tested.

These sets do not overlap, meaning that an observation or outcome can only fall into one of these two categories.

13. Which of the following is true of the null and alternative hypotheses?

d. It is possible for neither hypothesis to be true

In hypothesis testing, the null hypothesis represents the default position or the status quo. It assumes that there is no significant difference or effect present in the population.

The alternative hypothesis, on the other hand, contradicts the null hypothesis and suggests that there is a significant difference or effect.

It is important to note that the null hypothesis is either rejected or failed to be rejected based on the evidence provided by the data.

The alternative hypothesis is not proven or accepted; instead, it is typically accepted by default when the null hypothesis is rejected.

Therefore, it is possible for neither hypothesis to be true if there is insufficient evidence to support the rejection of the null hypothesis. In such cases, no strong conclusion can be made based on the available evidence.

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Answer:

see below

Step-by-step explanation:

The cost to care care for the lawn in terms of h hours is

c(h) = 15 + 9h  where h is the number of hours

c(3) means that for 3 hours the cost is 42 dollars

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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sSlope means the inclination of the line

Intercept is the point where the line touches the Y axis.

The area of the segment is 210.25π - 420.5

A segment is an interior region of a circle. It is the space between a chord and an arc.

The area of segment is expressed as;

area of segment = area of sector - area of triangle

The shaded part is a segment.

A sector is a region between two radii and an arc.

Area of triangle = 1/2 × 29 × 29

= 841/2

= 420.5

The area of the sector is given as 210.25

Therefore the area of the segment = 210.25π - 420.5

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The theorem that justifies why triangles ABC and DEF are congruent is: HL.

The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.

Given that:

angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)

AC = FD (a pair of congruent hypotenuse)

AB = DE (a pair of congruent legs)

Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.

Thus, the theorem that justifies why both triangles are congruent is: HL.

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Answer:

its 17

Step-by-step explanation:

Answer:

85%×20 is 17 Goodluck.

should be right

The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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Answer:

He rides 9 miles a day

Step-by-step explanation:

72(miles) divided by 8(days) would equal 9 miles per day.