Can someone please help me on this problem step by step thanks!

5(5b - 12) = 6(4b - 6)

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

The value of the annuity in year 3 is $29,425.34 and the current value of this stream of cash flows is $247,206.56.

To calculate the value of the annuity in year 3, we need to find the present value of all the payments from year 3 onwards. We can use the formula for the present value of an annuity:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, the annual payment is $27,000, the interest rate is 12.00% (or 0.12 as a decimal), and the number of periods is 21 - 3 = 18 (since we're calculating the value in year 3). Plugging in these values, we get:
PV = 27000 * (1 - (1 + 0.12)^(-18)) / 0.12 ≈ $29,425.34

To find the current value of the stream of cash flows, we need to discount each payment to its present value. The first payment is made 4 years from now, so we discount it by (1 + r)^4. The second payment is made 5 years from now, so we discount it by (1 + r)^5, and so on until the 21st payment.
Using the same formula as before, we can calculate the present value of each payment and sum them up:
PV = 27000 / (1 + 0.12)^4 + 27000 / (1 + 0.12)^5 + ... + 27000 / (1 + 0.12)^21 ≈ $247,206.56
Therefore, the value of the annuity in year 3 is $29,425.34 and the current value of this stream of cash flows is $247,206.56.

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Answer:

\(y=2x-1\)

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The question provides both the slope m=2 and the y-intercept b=-1.

Thus, substituting:

\(\boxed{y=2x-1}\)

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

Answer:

HII

1

Step-by-step explanation:

Since A is symmetric, we have A = A^T. Therefore,

PRP^-1 = (PRP^-1)^T = (P^-1)^TR^TP^T

Multiplying both sides by P, we get:

ARP = RPP^-1

Multiplying both sides by P^-1, we get:

AR = RP^-1

This means that R is similar to A and hence has the same eigenvalues. Since A is symmetric, its eigenvalues are real. Therefore, the eigenvalues of R are also real.

Since R is upper triangular, its eigenvalues are given by its diagonal entries. Therefore, R is symmetric and hence is actually a diagonal matrix.

To solve for R, we can multiply both sides of the equation A = PRP^-1 by P on the left and P^-1 on the right to get:

PAP^-1 = R

Since P is orthogonal, P^-1 = P^T. Therefore,

R = P^TAP

This gives the expression for R in terms of P and A.

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When talking about a limit of a function at a particular point, it's significant to note that this means evaluating the function as the input approaches that point. It's worth noting that the point in question must be a limit point of the domain of the function for the function to have a limit.

An isolated point is one that doesn't have any other points near it in the domain of the function. Because of this, it makes no sense to consider the limit of a function at an isolated point of the domain of the function.

A limit is defined as the value that a function approaches as the input (x) approaches a certain point (c). This definition is simple enough, but it necessitates the function having values near that point in the domain. That is to say, there must be a sufficient number of points near the point c in the domain such that we can talk about the input approaching c without going out of the domain.

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The rate at which the distance is changing is calculated to be 14.42 miles per hour.

Consider the east direction to be denoted by x and the north direction to be denoted by y, therefore;

dx / dt = 12 mph

dy / dt = 8 mph
x is equal to 4 miles

Consider the distance between them to be s

Time taken by you to travel 4 miles = distance / speed

Time taken by you to travel 4 miles = 4/12 hour

Distance traveled by the friend in that time = speed × time

Distance traveled by the friend in that time = 8 × (4/12) = 2.67 miles

Now we use the Pythagorean theorem,

x^2 + y^2 + s^2 ...... (1)

Substitute, x = 4 miles and y = 2.67 miles

s^2 = 16 + 7.1289 = 23.1289

s = 4.81

Now differentiate equation 1 with respect to t as follows;

2x (dx/dt) + 2y (dy/dt) = 2s (ds/dt)

2(4) (12) + 2(2.67) (8) = 2 (4.81) (ds/dt)

96 + 42.72 = 9.62 (ds/dt)

138.72 = 9.62 (ds/dt)

ds/dt = 138.72/9.62 = 14.42 miles per hour

Thus the distance is changing at the rate of 14.42 miles per hour.

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Answer:

This is what I always did

1. Order the data from least to greatest

2. Find the median

3. Find the lower quartile

4. Find the upper quartile

And that is how I always found the ranges

Answer: $ 27.50

Step-by-step explanation:

We know that $24.75 is (100%-10%) = 90% of the original price.

24.75/90 = 0.275 (to find one percent)

0.275 x 100 = 27.5 (100%, the original price)

Answer:

\(\bar x = 260.1615\)

\(\sigma = 70.69\)

The confidence interval of standard deviation is: \(53.76\) to \(103.25\)

Step-by-step explanation:

Given

\(n =20\)

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}\)

\(\bar x = \frac{5203.23}{20}\)

\(\bar x = 260.1615\)

\(\bar x = 260.16\)

Solving (b): The standard deviation

This is calculated as:

\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}\)

\(\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\)\(\sigma = \sqrt{\frac{94938.80}{19}}\)

\(\sigma = \sqrt{4996.78}\)

\(\sigma = 70.69\) --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

\(c =0.95\)

So:

\(\alpha = 1 -c\)

\(\alpha = 1 -0.95\)

\(\alpha = 0.05\)

Calculate the degree of freedom (df)

\(df = n -1\)

\(df = 20 -1\)

\(df = 19\)

Determine the critical value at row \(df = 19\) and columns \(\frac{\alpha}{2}\) and \(1 -\frac{\alpha}{2}\)

So, we have:

\(X^2_{0.025} = 32.852\) ---- at \(\frac{\alpha}{2}\)

\(X^2_{0.975} = 8.907\) --- at \(1 -\frac{\alpha}{2}\)

So, the confidence interval of the standard deviation is:

\(\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }\) to \(\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }\)

\(70.69 * \sqrt{\frac{20 - 1}{32.852}\) to \(70.69 * \sqrt{\frac{20 - 1}{8.907}\)

\(70.69 * \sqrt{\frac{19}{32.852}\) to \(70.69 * \sqrt{\frac{19}{8.907}\)

\(53.76\) to \(103.25\)

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Answer:

36

Step-by-step explanation:

-4(-4d-5)

-4x-4=16 (-x-=+)

-4x-5=20

16+20=36

hope this helps

Answer:

16d+20

Step-by-step explanation:

Answer: 3a

Step-by-step explanation: 4a - 1a = 3a

Answer:

31.5  centimetre

Step-by-step explanation:

126/4 = 31.5

   Value of \(10^x\) will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

\(10^0=1\)

\(10^1=10\)

  Therefore, value of \(10^x\) will vary between 1 and 10.

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The 95% confidence interval for the mean birth weight of girls, based on a sample of 12 observations, is estimated to be approximately 29.627hg to 32.707hg.

A confidence interval provides an estimate of the range within which the true population parameter (in this case, the mean birth weight of girls) is likely to fall. To construct a 95% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value) × (standard deviation / square root of sample size)

Given the sample statistics, n = 12, = 31.167hg, and s = 3.157hg, we can compute the standard error by dividing the standard deviation by the square root of the sample size: s / sqrt(n) = 3.157 / sqrt(12) = 0.910hg.

To find the critical value corresponding to a 95% confidence level, we need to determine the degrees of freedom (n-1) and refer to the t-distribution table or use statistical software. Assuming a t-distribution with 11 degrees of freedom, the critical value for a 95% confidence level is approximately 2.201.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 31.167 ± (2.201) × (0.910) = 31.167 ± 2.004 = (29.627hg, 32.707hg).

Therefore, we can be 95% confident that the true mean birth weight of girls lies within the range of approximately 29.627hg to 32.707hg, based on the given sample data.

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Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

In this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.

First, we need to calculate the mean distance of Malia's first 7 throws.

Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14

Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.

The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8

To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:

(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14

Multiplying both sides by 8 gives us:

2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12

Simplifying gives us:

x < 25.12 - 23

x < 2.12

Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

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Answer:

15

Step-by-step explanation:

Answer:

25% of 60 is 15

Step-by-step explanation:

let me know if it's correct

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

3

Step-by-step explanation:

15*13=195

10.5*3=31.5

195+31.5=226.50

Relative frequencies can be used to estimate probabilities occurring in a sampling distribution through the concept of the Law of Large Numbers.

Define the event of interest Determine the specific event or  outgrowth for which you want to estimate the probability in the  slice distribution.   Conduct repeated trials Perform a large number of independent trials or  compliances. Each trial should be done under the same conditions.   Count  circumstances Record the number of times the event of interest occurs within the total number of trials.  

Calculate relative  frequence Divide the count of  circumstances by the total number of trials to  gain the relative  frequence. This represents the proportion of times the event of interest  passed relative to the total number of trials.   reprise  way 2- 4 Repeat the process of conducting trials, counting  circumstances, and calculating relative  frequentness multiple times. The  further trials you perform, the more accurate your estimates will come.  

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Answer:

$526.3 is the monthly payment

Step-by-step explanation:

We use the compound interest formula to calculate the total amount payable on the loan.

Mathematically;

A = P(1 + r/n)^nt

Where A is the amount to pay

P is amount borrowed = 22,000

r is interest rate = 7.25/100 = 0.0725

t is years = 5 years

n is the number of times we compound lee year = 12 times since it’s monthly

Substituting these values, we have

A = 22,000(1 + 0.0725/12)^(12)(5)

A = 22,000(1 + 0.006041666666667)^60

A = $31,578

Monthly payment is total amount/ number of months

There are sixty months in 5 years

So monthly payment is 31578/60 = $526.3

Answer:

x=2

Step-by-step explanation:

Answer:

\(yes \\ 1 : 3 = 3 : 9\)

Step-by-step explanation:

yes.

\(1 : 3 = 3 : 9\)

Let see how is it possible,

\(3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9\)

Also,

\(1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3\)

hope this helps

brainliest appreciated

good luck! have a nice day!

In an ANOVA question, the option that is not a required assumption is (a) equal sample sizes. ANOVA assumes normality, homogeneity of variance, and independence of observations for accurate results.

The option that is not a required assumption for an ANOVA question is d) independence of observations. ANOVA (Analysis of Variance) is a statistical test used to compare the means of two or more groups. The assumptions of ANOVA include normality (the data follows a normal distribution), homogeneity of variance (the variances of the groups being compared are equal), and equal sample sizes (the number of observations in each group is the same). However, independence of observations is not a required assumption for ANOVA, although it is a desirable one. This means that the observations in each group should not be related to each other, and there should be no correlation between the groups being compared. However, it is robust to unequal sample sizes, especially when the variances across groups are similar, though equal sample sizes can improve statistical power.

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In the given equation r = 2/5 t "r" is the dependent variable.

In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.

An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.

A dependent variable is a variable whose value depends on the value of one or more other variables in the equation

Here we have

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups.

She writes the equation r = 2/5 t to describe the relationship.

In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.

Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.

The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.

Therefore,

In the given equation r = 2/5 t "r" is the dependent variable.

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Complete Question:

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.