(8) This is part of Dafydd's homework.
a )Explain what Dafydd has done wrong.
b )Write the correct answer.


Question
Round 39.47 to the nearest whole number.
Solution :
The 7 rounds the 4 up to a 5 so 39.47 = 39.5
Then the 5 rounds the 39 up to 40.
So, 39.47 40 (to the nearest whole number)

Answer:

A, D, E, and F are all equivalent expressions.

Step-by-step explanation:

A. 1:

1 is already a simplified fraction, so there is nothing to do.D. 4:

4 is already a simplified fraction, so there is nothing to do.E. 1.

28.:

This expression is not a fraction, but rather a mixed number. To convert it to a fraction, we first need to rewrite it as an improper fraction. To do this, we take the whole number (1) and multiply it by the denominator (28), and then add the numerator (0):1.28 = 1 * 28 + 0 = 28Then we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:28/4 = 7F. 1

22:

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1:1/22 = 1/22

I hope this helps! Let me know if you have any questions.

The null hypothesis asserts that the data are well described by both your model and the model without independent variables.

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average rate of change from 4 to 9 minutes is 2.25 min . division of the y-value change by the x-value change.

It represents the average change in the function's per-unit value during that time period. On the function's graph, it is generated from the slope of the line connecting the interval's ends.

the difference between the y- and x-values is divided. Calculating the average rate of change is very helpful for tracking changes in measurable parameters like average speed or average velocity.

Given that

the change in y value occurred in 9 minutes and the change in x value occurred in 4 minutes, the average rate of change was 9 minutes by 4 minutes, or2.25 minutes.

9 min / 4 min

= 2.25 min

average rate of change from 4 to 9 minutes is 2.25 min . division of the y-value change by the x-value change.

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Answer:

Chemical energy is changed to heat energy.

Step-by-step explanation:

On solving the provided question, we go to know that There really Is no substantial difference mostly in proportions. The range of 95% confidence is (-0.1809,0.0549)

An alternative hypothesis is one in which the researcher asserts that he anticipated a distinction (or impact) between two or more variables and that the pattern in the data is not a coincidence.

α=0.05

Test Stat, z = -1.0366

Critical Values = 1.96

P-Value = 0.2999

[tex]Fail to reject the Null Hypothesis because the p-value is greater than 0.05.[/tex]

There really Is no substantial difference mostly in proportions.

The range of 95% confidence is (-0.1809,0.0549)

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The required simplified equivalent fraction of 0.32 is 8/25. Option A is correct.

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,
Given the terminating decimal value,
= 0.32
= 32/100
= 8/25

Thus, the required simplified equivalent fraction of 0.32 is 8/25. Option A is correct.

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Answer:

The figure below shows the graph of rational function f; It has vertical asymptotes x 2 andx = 4, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (~3,-1). The equation for f (x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation: You can assume that f (x) is in simplest form_ 0 f() f() f ()

The correct hypothesis relation is  is H₀ : μ ≥ 2,412. and Ha : μ < 2,412

According to the United States Census Bureau, the average area = 2, 412 square feet

Then the null hypothesis is

H₀ :μ ( mean ) area is greater than or equal to 2,412

H₀ : μ ≥ 2,412.

But, according to Jane, in her area, still families want a small home comparison to average.

Alternative hypothesis is that, mean area is less than 2,412 .

Ha : μ < 2,412.

Therefore,  H₀ : μ ≥ 2,412. and Ha : μ < 2,412

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Answer: 12 attendee

Step-by-step explanation:

Take 48 divided by 4 = 12 attendee

So there are 12 atteded

Answer: 12

Step-by-step explanation:

12 x 4 = 48

By using property of similar triangle and speed, the answer is 4.2ft/sec

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Similar triangles always have comparable sides that are in the same ratio.

We can compare the ratio of sides of similar triangle for the calculations.

x= shadow length at 35feet away.

Using the property of Similar Triangle we get,

[tex]\frac {16}{35+x} = \frac {6}{x}[/tex]

x=21 feet

Velocity of shadow= 21/5

=4.2 feet/sec

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Answer: (y,x)

Step-by-step explanation:

smth like that and it is the y-axis and x-axis

Answer:

Year 1:

Lawson; 14+3=17

Ezra; 8+5=13

Year 2:

Lawson; 17+3=20

Ezra; 13+5=18

Year 3:

Lawson; 20+3=23

Ezra; 18+5=23

Answer:

Step-by-step explanation:

4/14

Divided both by 2

2/7

The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.

here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y   - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800

Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

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To express 2log 4 + 3log 2 as a single logarithm, you can use the property of logarithms that states that loga(mn) = logam + logan. This property can be used to rewrite the given expression as follows:

2log 4 + 3log 2 = log 4^2 + log 2^3

= log 16 + log 8

= log 16 * 8

= log 128

here  2log 4 + 3log 2 equals to log 128

Therefore, 2log 4 + 3log 2 = log 128, which is answer choice (D) log 128.

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A general term for a sample selected in accordance with probability theory, which ensures that every person in the population has an equal chance of being selected for the sample, is known as Probability sampling.

A probability sampling method is an any method of sampling that utilizes some from of random selection. Probability sampling refers to the selection of a sample from a population, when the selection is based on the principle of randomization, that is random selection or chance.

In simple random sampling each sampling unit of a population has an equal chance of being included in the sample. Consequently, each possible sample also has an equal chance of being selected.

The advantage of simple random sampling is that it does not require any information on the survey frame other than the complete list of units of the survey population along with contact information. In a simple random sample, every number of the population has an equal chance of being selected.

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The surd expression 1 + [√2 / (3 - √2)²]  can be simplified as (61 + 11√2/ 49) where a is 61/49 and b is 11/49

When evaluating an expression, the first step is to identify the operators and operands in the expression. The operators are the symbols that direct the operation. The operands are the values or variables that the operators act upon. Once the operators and operands are identified, the expression can be evaluated by applying the order of operations to the expression. This includes performing operations inside parentheses first, then multiplication and division, followed by addition and subtraction.

In the case of a surd expression, the same process should be followed. However, it is important to note that surds can be simplified using the rules of indices. This means that surds with the same base value can be combined using addition and subtraction.

In the give problem, we have

1 + [√2 / (3 - √2)²] can be written in the form a + b√2

1 + [√2 / (3 - √2)²] can be simplified using a calculator to give us a value of;

1 + [√2 / (3 - √2)²] = (61 + 11√2/ 49)

In this expression, a = 61/49, b = 11/49

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The width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.

The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

A rectangle has an area of 24 cm²

The function of the area can be written as,

F(A) = l × b, b = A / l

Put l = 3

then b = 24 / 3 = 8 cm

Put l = 0.5

then b = 24 / 0.5 = 48 cm

Put l = 48

then b = 24 / 48 = 0.5 cm

Put l = -6

then b = 24 / -6 = -4 cm

Put l = 0

then b = 24 / 0  = non defined

Therefore, the width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.

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All three statement parametric equation are true so option D. all three are true is the correct option of the given statement.

In parametric form, the x and y coordinates are defined as functions of t, which represent angles in this form: x = r cos t and y = r sin t, and so map the whole circle. These parametric equations are known as polar equations.

The position of a point on a Ferris wheel, for instance, can be represented graphically using parametric equations. The parametric equations can be used to model every aspect, including height above the ground, spin direction, and speed.

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As per the given probability, the two action that the base station would takes are, 1) increasing the transmission power, and 2) reducing the transmission rate.

Probability:

In statistics, probability refers the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Given,

Here we need to find the two actions that a base station could take to ensure that the loss probability of a transmitted frame does not increase.

Here we have given that, a mobile node gets farther and farther away from a base station,

And the two actions that a base station could take to ensure that the loss probability of a transmitted frame does not increase will be solve by  increased transmission power and then reduce the rate.

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The total cost with sales tax would be $ 96.30

On solving the provided question, we got to know that - 40/155 adults will not have hypertension (70%),

The probability is calculated by dividing the total number of outcomes by the total number of possible ways an event may occur. Probability and odds are two different ideas. The chances are calculated by dividing the likelihood that a certain event will occur by the likelihood that it won't.

Probabilities are mathematical explanations of the chance that an event will happen or that a proposition is true. The probability of an occurrence is a number between 0 and 1, where 0 often indicates impossibility and 1 normally indicates certainty.

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The solution of the given equation is:

[tex]\frac{log 9}{Log 2} - 1[/tex]  = 2.16992500144

Logarithm:

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8. Similarly, 2 = log10 100 because 102 = 100. The latter kind of logarithm (that is, the base 10 logarithm) is called the ordinary logarithm or the Briggs logarithm and simply write log n.

Invented in the 17th century to speed up calculations, logarithms greatly reduced the time required to multiply large numbers. These were the basis of numerical computation for over 300 years until the mechanical calculator of the late 19th century and his 20th century computer sophistication made it obsolete for large-scale calculations. However, the natural logarithm (with base e ≅ 2.71828 and written ln n) continues to be one of the most useful functions in mathematics, being applied to mathematical models in the physical and biological sciences.

According to the question:

2ˣ=4.5

Take the logarithm of both sides of the equation

log2ˣ = log9 / 2

x . log2 = log9 − log2

divide both sides of the equation by log 2:

          [tex]\frac{x Log 2}{Log 2} = \frac{Log 9 - Log 2}{Log 2}[/tex]

⇒  x = [tex]\frac{log 9}{Log 2} - 1[/tex]

⇒ x = 2.16992500144.

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2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

Given that,

TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.

We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

We know that,

Let

Population proportion (p)= 0.40

Margin of error = 2% = 0.02

Confidence level = 95% = 0.95

α = 1- 0.95 = 0.05

α/2 = 0.025

Let's find out the Z critical value using excel for the 95% confidence level,

Use the following excel command.

= ABS(NORMSINV(α/2))

= ABS(NORMSINV(0.025))

We will get, Z critical value = 2.17009

Sample size (n) = p(1-p)×(Zα/2)/E

n = 0.40(1-0.40)({2.17009}÷{0.05})²

Sample size (n) = 2327

Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

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The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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4/7 is probability a two-way table to model this chance process.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                                The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

No events getting thick crust pizza and getting pizza with mushrooms are not disjoint as we can have pizza that has thick crust and mushroom both.

No events are not independent as

P(thick and having mushroom) is not equal to P(thick crust)*P(having mushroom)

P( thick and having mushroom) = 2/7

P(thick crust) = 3/7

P( having mushroom) = 4/7

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The credit card holder paid an additional D. $559.56 over the 12 months versus paying the balance in full before the end of the first month.

The additional payment made by the credit card holder results from paying installments instead of clearing the balance in the first month.

Installment plans attract finance charges at an annual percentage rate (APR), which increases the total amount paid.

Therefore, the additional payment is the difference between the total installment payments and the credit card balance at the beginning of the first month.

N (# of periods) = 12 months

I/Y (Interest per year) = 11.99%

PV (Present Value) = $6,299.59

PMT (Periodic Payment) = $-350

Results:

FV = $3,009.15

Sum of all periodic payments = $3,850 ($350 x 11)

Total Interest = $559.57

The total amount paid over the 12 months = $6,859.15 ($3,009.15 + $3,850)

The total amount paid in full in the first month = $6,299.59

Additional payment made via installments = $559.56 ($6,859.15 - $6,299.59)

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

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The equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

The four methods for solving a quadratic issue are factoring, using square roots, completing the square, and the quadratic formula.

Form of a quadratic equation: ax²+bx+c=0

(A) 8k-3=12

Not in form of ax²+bx+c=0.

(B) 9r2 -25 =0

In form of ax²+bx+c=0.

(C) x2 - 5x + 3 = 0

In form of ax²+bx+c=0.

(D) (2x + 5) (x - 1) = - 6​

In form of ax²+bx+c=0.

Therefore, equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

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Answer:

From A you go down to E, then to the right to F, down to J, to the right to K, up to G, up to C, right to D, down to H, and then the escape box dsvfhwvhvwhr,vhf