I am stuck on this maths question. Help please!

Answer:

Step-by-step explanation:

In the given triangle AED,

Points B and D are the midpoints of sides AD and AE.

a). Therefore, AB = \(\frac{1}{2}(AD)\)

   AB = \(\frac{90}{2}\) = 45 ft

b). AE = 2(AC)

   AE = 2(30)

   AE = 60 ft

c). By mid-segment theorem,

   BC = \(\frac{1}{2}(DE)\)

   BC = \(\frac{50}{2}=25\) ft

d). EC = AC = 30 ft

Answer:

four angles

four sides

Step-by-step explanation:

The probability that only fruits appear in the windows is 4/5 or 0.8.

Given that a slot machine has four windows, the wheel behind each window has the same five identical objects: cherry, grape, peach, star, and jackpot. The total number of possible outcomes can be calculated as follows:5 × 5 × 5 × 5 = 625 total outcomes. As there are five fruits, the probability of only fruits appearing is:

P(fruits) = (number of outcomes with only fruits) / (total number of outcomes)

Now, to find the number of outcomes with only fruits, each window has 4 fruits and as there are 5 fruits, it can be filled in 5 ways. Thus, the number of outcomes is:5 × 5 × 5 × 4 = 500. Therefore, the probability of only fruits appearing is:

P(fruits) = (number of outcomes with only fruits) / (total number of outcomes)

P(fruits) = 500/625

P(fruits) = 4/5

The probability that only fruits appear in the windows is 4/5 or 0.8.

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Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore,  the amount available for Peter's child education will be $147,330.55.

Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,

The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.

In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r

where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.

Using the above formula; the future value of Michael's savings is:

FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55

Therefore, the amount available for Peter's child education will be $147,330.55.

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Answer:

Any linear equation with a slope of 1.5

(examples:

Step-by-step explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:

\(y=mx+b\)

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

So, we know that:

27 black socks.

18 grey socks.

9 navy socks.

Probability formula: P(E) = Favouravle events/Total events

Now, insert values in the formula as follows:

P(E) = Favouravle events/Total events

P(E) = 27+18/27+18+9

P(E) = 45/54

P(E) = 15/18

P(E) = 5/6

Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?

The given transformation is a translation of 5 units to the left. So, we have to subtract each x-coordinate with the number of units given in the transformation.

Answer:

AD and BC are congruent, so if AD = 20 then BC = 20

AB and DC are also congruent, so if AB = 13 then DC = 13

DE is one half of DB, so if DB = 22 then DE = 11

AE is one half of AC, so if AE = 18 then AC = 36

Also for the one in the corner...

The 2 angles are also congruent, so if ADC = 115° then ABC = 115°

Hope this helps! :)

Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation\(2^3\) = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line \(\left(10,8\right) and \left(4,12\right)\)

The slope of the line formula is:

\(m = \frac{y₂ - y₁}{ x₂ - x₁}\)

Let's substitute our numbers.

\(m = -\frac{8 -12}{4-10}\)  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Step-by-step explanation:

pi r^2 = circle area

pi r^2 = 149

r^2 = 149 / pi

r = 6.9 cm

Answer:

it would take about 7 1/2 minutes.

Step-by-step explanation:

please give brainliest

Answer:

30 minutes

Step-by-step explanation:

The hiker starts at sea level or 0 feet. He descends 25 feet every minute. This can be written in an equation as so, 0 acting as the starting point, f being feet, and m being minutes:

f = 0 - 25m

This simplifies to:

f = - 25m

We can substitute f in for -750

-750 = - 25m

Now, we divide by - 25 by both sides of the equation

-750 ÷ - 25 = 750 ÷ 25 = 30

30 = m

It would take 30 minutes for the hiker to get to - 750 feet in elevation.

I Hope That This Helps! :)

Answer: $ 1.80 tax, Total price + tax $31.80

Step-by-step explanation:

30 x .06 = 1.8 tax

30 x 1.06 = 31.80

Answer:

Step-by-step explanation:

plug in the points minus the constant for 7=3*4 + x and you will get -5 for your constant  

y=3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

7 = 3(4) + b

---> b = -5

y = 3x - 5

In what form?!?!?!?!?!?!?

Your question has been heard loud and clear.

Answer is option D.

The point (-2,3)  is the solution to the equation of option D.

5(-2)-2(3) = -10+-6 = -16

2(-2)-5(3) = -4+-15 = -19

Here , in the equation , x = -2 and y = 3  ,when we substitute these values in the equation(D) , we get the correct answer.

Answer:

Step-by-step explanation:

If the given is the parallelogram, its opposite sides are parallel.

It means the slopes of those lines are equal:

If the parallelogram is a rectangle, then its adjacent sides are perpendicular.

It means the product of slopes of those lines is - 1:

or

The matching choice is combination of AB ║ CD and CD ⊥ BC.

Correct choice is C

The number of degrees of freedom is large, then the student's T distribution is close to the normal distribution.

The degrees of freedom is the number of observation in a sample that are free to vary when we estimate the statistical data. Degree of freedom will also indicate the independent piece of information in the data.

Basically, the T distribution or student's distribution is a family's of distribution that look identical to the normal distribution.

So, the number of degrees of the freedom is large then it will closely related to normal distribution.

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Answer:

1.26 m^3

Step-by-step explanation:

0.25*0.36*0.14=1.26

The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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This tells us our interest rate needs to be 4% in order to grow $500 to $1600 in 12 years compounded quarterly.

We will use the compound interest formula to solve for our unknown interest rate. Recall the compound interest formula:

\(A(r) =A(1+\frac{r}{n} )^n^t\) where A(r) is the ending dollar amount, A is the starting amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

We know that:

A(r) = 1,600

A = 500

n = 4

t = 12

and our r is unknown.

Using our formula gives us:

\(1600 = 500(1+\frac{r}{4} )^4^.^1^2\)

\(1600 = 500(1+\frac{r}{4} )^4^8\)

Next, we will divide by 500:

\(3.5=(1+\frac{r}{4} )^4^8\)

ln of both sides

In 3.5 = In \((1+\frac{r}{4} )^4^8\)

0.54406804435 = 48  In \((1+\frac{r}{4} )\)

0.0113 = ln (1+r/4)

raise to e power

1.0114 = r/4

4.0456 = r

r = 404.56%

This tells us our interest rate needs to be 4% in order to grow $500 to $1600 in 12 years compounded quarterly.

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Answer:

C

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The best estimate for the population parameters is Option A: "a mean of 4.9 letters and a standard deviation of 1.5 letters", because these values match the estimates for the sampling distribution. 

The mean and standard deviation of the sampling distribution give us an idea of the spread and central tendency of the data. In this case the mean was 4.9 letters and the standard deviation was 0.15 letters. This suggests that the mean word length for the textbook is 4.9 letters & that the values are tightly clustered around this central value.

Therefore it is more likely that the population parameters would be similar to these estimates.

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Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)

so

\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)

Answer:

1/ Heidi earned $61.20 in commission

2/ The jewelry store makes $618.80 from hers sales

Step-by-step explanation:

9% = 0.09

First, take 680 times 0.09 = $61.20

Heidi earned $61.20 in commission

For the second question

Take 680 - 61.20 = $618.8

The jewelry store makes $618.80 from its sales

Answer:

Step-by-step explanation:

6x-5x+7x=34

x+7x=34

8x=34

x=\(\frac{34}{8}\)

Answer:

X= 5 2/3

Step-by-step explanation:

Combine Like terms

6x=34

Inverse Operation

x=35/6

Simplify

X=5 2/3

The general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

To solve the differential equation x^2y'' + 11xy' + 25y = 0, we can assume the solution to be of the form y = x^r, where r is a constant.

Then, we have:

y' = rx^(r-1)

y'' = r(r-1)x^(r-2)

Substituting these into the differential equation, we get:

x^2y'' + 11xy' + 25y = x^2r(r-1)x^(r-2) + 11xrx^(r-1) + 25x^r = 0

Dividing both sides by x^2, we have:

r(r-1) + 11r + 25 = 0

Simplifying, we get:

r^2 + 10r + 25 = (r+5)^2 = 0

Therefore, r = -5.

Thus, the general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

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Picard's method is a technique used to approximate the solution to a nonlinear problem.

By following an iterative process and substituting previous approximations into an iterative equation, you can obtain successive approximations of the solution

To obtain the next three successive approximations of the solution to a nonlinear problem using Picard's method, follow these

steps: 1. Start with an initial guess for the solution. Let's call this guess "x0".

2. Use the given nonlinear problem to form an iterative equation of the form x = g(x), where g(x) represents a function involving the previous approximation x.

3. Substitute x0 into the iterative equation to obtain the first approximation, x1 = g(x0).

4. Repeat the process by substituting x1 into the iterative equation to obtain the second approximation, x2 = g(x1).

5. Finally, substitute x2 into the iterative equation to find the third approximation, x3 = g(x2).

By following these steps, you can obtain the next three successive approximations of the solution to the nonlinear problem using Picard's method.

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The 90% confidence interval for the sample mean is (13.289, 16.711). This means that we can be 90% confident that the true population mean lies within this interval based on the given sample.

To calculate a 90% confidence interval for a sample mean, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

First, we need to determine the critical value for a 90% confidence level. Since we have a sample size of 25, we can use a t-distribution. Consulting a t-table or calculator, for a 90% confidence level and 24 degrees of freedom (sample size minus 1), the critical value is approximately 1.711.

Next, we calculate the standard error using the formula:

Standard Error = Sample Standard Deviation / √(Sample Size)

Plugging in the values, we get:

Standard Error = 5 / √(25) = 1

Now, we can calculate the confidence interval:

Confidence Interval = 15 ± (1.711 * 1) = (13.289, 16.711)

The 90% confidence interval for the sample mean is (13.289, 16.711). This means that we can be 90% confident that the true population mean lies within this interval based on the given sample.

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