The rectangular frame is made from 5 straight pieces of metal.
6 m
8 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.

Answer:

4/8=1/2 but it can't be written as a whole number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

cannot be written as a whole number because it can be simplified down.

Step-by-step explanation:

its decimal form is 0.5 and if you simplify it down to its least you get 4/8=2

The conclusion results in a Type I error.

To determine whether the conclusion results in a Type I error, a Type II error, or a correct decision, we need to analyze the given information.

In this scenario, the test is conducted to compare a hypothesized population mean, denoted as μ, with a specific value of 58. The null hypothesis (H₀) states that μ is equal to 58, while the alternative hypothesis (H₁) suggests that μ is not equal to 58.

A significance level, denoted as α, is set at 0.05, which means that the researcher is willing to accept a 5% chance of making a Type I error - rejecting the null hypothesis when it is actually true.

The test statistic, z, is calculated to assess the likelihood of the observed data given the null hypothesis. In this case, the test statistic value is z = -2.14.

Since the test statistic is negative and falls in the rejection region of a two-tailed test, we can compare its absolute value to the critical value for a significance level of 0.05.

Looking up the critical value in the standard normal distribution table, we find that for a two-tailed test with α = 0.05, the critical value is approximately 1.96.

Since |z| = |-2.14| = 2.14 > 1.96, we have sufficient evidence to reject the null hypothesis.

Now, if the true value of μ is actually 58, and we reject the null hypothesis that μ = 58, it means we have made a Type I error - concluding that there is a difference when, in reality, there is no significant difference.

Therefore, the conclusion in this case results in a Type I error.

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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Answer: False

Step-by-step explanation:

The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.

The $50,000 should therefore be recorded in the Investing section as a Cash outflow.

The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.

Answer:

your answer is 0.4

Step-by-step explanation:

you can look for persentage calculators in

Answer:

Let the percentage be x%

\(x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}\)

Out of the given dotplots, the correct dotplot that displays Roger's recorded data accurately is the one where each dot represents one mile and the numbers are correctly represented.

To determine the correct dotplot that displays Roger's recorded data accurately, we need to analyze the given data and compare it to the dotplots provided.

From the data provided, we have 20 values representing the number of miles Roger runs each day. We need to ensure that the dotplot accurately represents these values.

Examining the dotplots provided, we look for the one that correctly represents the data points and their frequencies. Each dot in the dotplot should represent one mile, and the values should be correctly displayed.

Upon careful analysis, we find that one of the dotplots accurately displays the data with each dot representing one mile, and the numbers are correctly represented. This dotplot will have the corresponding number of dots for each value recorded by Roger.

Therefore, the dotplot that correctly displays Roger's recorded data is the one where each dot represents one mile and the numbers are correctly represented.

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Answer:

Step-by-step explanation:

50-40= 20%

50*20%= 10

50-10=40

Answer:

The y-intercept is 5, and the slope is -3/2, y=5

Step-by-step explanation:

Answer:

x= 6

x= 1

Step-by-step explanation:

First we must factor the equation by finding two numbers which when multiplied equal 6, and when added equal -7

-6 * -1 = 6 and -6 - 1 = 7, so our numbers are -6 and -1.

We will then write this factored form as (x - 6)(x - 1)=0

Because of the zero product property (anything multiplied by zero will equal zero), we know that either x - 6 equals zero, or x - 1 equals zero.

This means there will be two solutions.

First, we will do x - 6 = 0. We can simply move the 6 to the other side by adding 6 to both sides. This gets x = 6.

Then, we will do x - 1 = 0. By adding 1 to both sides, we will get x = 1

So finally, we know that x = 6 and x = 1

The distribution is skewed negatively in this instance. Pearson's coefficient of skewness in this instance is -1.65.

Skewness is a descriptive statistic that may be used to describe the data or distribution along with the histogram and the normal quantile plot. The degree to which a distribution deviates from the normal distribution is described by its skewness. Skewness and kurtosis are used to more accurately assess the possibility of events occurring in a probability distribution's tails.

Given,

The mean number of gallons is 13.6, with a standard deviation of 3.0 gallons. the median is 15.25 gallons.

The skewness evaluates the set's shape by comparing it to a normal distribution. The set of data distribution deviates from a normal distribution if the coefficient is high.

The formula for the person's skewness coefficient is:

Sk = 3  (Mean-Median) (standard deviation)

Regarding this issue:

Sk= 3*(13.6-15.25)/3

Sk= 3*(-1.65)/3

Sk= -1.65

The distribution is skewed negatively in this instance.

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The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.

It should be noted that degree of freedom is calculated as:

= k - 1

where k = variable in a data

k = 3.

Degree of freedom = 3 - 1 = 2

The degree of freedom for numerator is 2.

The degree of freedom for denominator is:

n - k

= 70 - 3

= 67

The degree of freedom for denominator is 67.

Note that the complete question is attached.

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Answer: 6 boys

Step-by-step explanation:

To find the number of boys in the class, we start by dividing the number of girls (18) by the first number in the ratio (which is 3):

This tells us that there are 6 sets of 3 girls in the class.

Since the ratio of girls to boys is 3:1, we know that for every 3 girls, there is 1 boy. So, for the 6 sets of girls we just found, there must be 6 sets of boys as well:

So, there are 6 boys in the class.

________________________________________________________

Answer:

After step 5, you will add 32 branches to get to step 6

Step-by-step explanation:

let's solve this question using geometric sequence;

\( {a \times r}^{n - 1} \)

since step 1, we will add 2 branches to get to step 2. we call as well as say

\( {a \times r}^{1 - 1} = {a \times r}^{0} = a\)

T1 = a = 2

to get step 2 we will need to add 4 branches to get step 3

T2 = 4

\(t2 = {a \times r}^{2 - 1} = a \times r = 4\)

since a = 2. we will just substitute for the values

2 × r = 4

2r = 4

\( \frac{2r}{2} = \frac{4}{2} \)

r = 2

Therfore:-

a = 2

r = 2

now lets solve the question

in order to get to step 4 we need to go through step 3

\(t3 = {a \times r}^{3 - 1} = {a \times r}^{2} \)

By substituting

\( {2 \times 2}^{2} = 2 \times 4 = 8\)

so in order to get to step 4 we will add 8 branches

in order to get to step 5 we need to go through step 4

\(t4 = {a \times r}^{4 - 1} = {a \times r}^{3} \)

by substituting

\( {2 \times 2}^{3} = 2 \times 8 = 16\)

in order to get to step 5 we need to add 16 branches

To get to step 6 we need to go through step 5

\(t5 = {a \times r}^{5 - 1} = {a \times r}^{4} \)

by substituting

\( {2 \times 2}^{4} = 2 \times 16 = 32\)

in order to get to step 6 we need to add 32 branches

i hope this helps

Answer:

?

Step-by-step explanation: Sorry what am I supposed to answer here? I will edit this to the answer when you tell me.

Answer:

constitution of the nation

Step-by-step explanation:

Steps to solve:

v/7 = 8

~Simplify

1/7v = 8

~Multiply 7 to both sides

v = 56

Best of Luck!

Answer:

v=56

Step-by-step explanation:

multiply bothe sides of the equation by 7

7x v/7= 7x8

simplify

v=7x8

therefore v=56

Answer:

If your going to graph it , it would be x=3/2y+ -9/2

Step-by-step explanation:

Answer: none of them

Step-by-step explanation:

they are not equal and dont look right i dont think im sorry if i get it wrong

Answer:

Two pairs of corresponding angles Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Step-by-step explanation:

y/x is equivalent to a constant and is equal to [m].

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}

x/a + y/b = 1                                        {intercept form}

x cos(β) + y sin(β) = L                          {Normal form}

We have a relationship that is proportional when the ratio of [y] over [x].

The equation of a straight line -

y = mx + c

can be used to represent proportional relationship when [c] = 0. Now -]

y = mx

m = y/x

Now, y/x is equivalent to a constant and is equal to [m].

Therefore, y/x is equivalent to a constant and is equal to [m].

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Answer:

from my understanding of math, yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

You didn't post any answer choices, but the answer should be:

y = x + (0.28)x = 1.28x

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

ANSWER

P(3) = 0

Step-by-step explanation:

Factor Theorem is a consequence of Remainder Theorem.

Remainder Theorem states that if polynomial f(x) is divided by a binomial (x - a) then the remainder is f(a).

Factor Theorem states that if f(a) = 0, then the binomial (x - a) is a factor of f(x).

We have the polynomial

P(x) = x^5-3x^4+5x^3-15x^2-6x+18P(x)=x

5

−3x

4

+5x

3

−15x

2

−6x+18

To prove that x-3 is a factor of P, we calculate P(3):

P(3) = 3^5-3*3^4+5*3^3-15*3^2-6*3+18P(3)=3

5

−3∗3

4

+5∗3

3

−15∗3

2

−6∗3+18

P(3) = 243-243+135-135-18+18P(3)=243−243+135−135−18+18

P(3) = 0P(3)=0

Thus, x-3 is a factor of P(x)

1. The skaters are approximately 2.53 feet apart.

2. The adjusted equation using the Law of Cosines would be:

(5 - x)² + (7 - y)² - 2 * (5 - x) * (7 - y) * cos(15°) = 2²

Q1: The distance between Jackie and Peter can be found using the Law of Cosines. Let's denote the distance between them as d. According to the Law of Cosines, we have:

d² = 5² + 7² - 2 * 5 * 7 * cos(15°)

Calculating the cosine of 15 degrees, we find:

cos(15°) ≈ 0.9659

Plugging in the values, we get:

d² = 25 + 49 - 70 * 0.9659

d² ≈ 25 + 49 - 67.613

d² ≈ 6.387

d ≈ √6.387

d ≈ 2.53 feet

Therefore, the skaters are approximately 2.53 feet apart.

Q2: The given distance between the skaters is 2 feet, and we have found that they are currently 2.53 feet apart. Hence, they are unable to complete the trick at their current positions because they are farther apart than the allowed distance.

To adjust the distances skated by one or both skaters, we can decrease their individual distances so that their total distance is 2 feet. Let's assume that Jackie reduces her distance by x feet and Peter reduces his distance by y feet.

The adjusted equation using the Law of Cosines would be:

(5 - x)² + (7 - y)² - 2 * (5 - x) * (7 - y) * cos(15°) = 2²

By solving this equation, we can find the values of x and y that satisfy the condition. To do so, we would need to substitute the value of cos(15°) and solve for x and y using algebraic methods.

Once we find the values of x and y, we can determine the adjusted distances for Jackie and Peter. These adjustments will allow them to complete the trick while being 2 feet apart.

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Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

In conclusion, Y represent the dependent variable or response variable in a linear regression.

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Answer:

a. Tax liability using Tax Tables $8,579

b. Tax liability using Tax Rate Schedule $8,576.80

Step-by-step explanation: