please help me with this :D

Answer:

A, B, E

Step-by-step explanation:

The price at which the T-Bill can be bought is approximately $9,736.38.

The price at which you can buy a T-Bill maturing on September 22, we need to use the formula for calculating the discount price of a T-Bill:

Price = Face Value / (1 + Discount Rate * (Days to Maturity / 360))

Face Value = $10,000

Days to Maturity = 129 days

Bid Rate = 0.278 (as a decimal)

Let's substitute these values into the formula to calculate the price:

Price = $10,000 / (1 + 0.278 * (129 / 360))

Calculating this expression will give us the price at which you can buy the T-Bill maturing on September 22.

To calculate the price at which you can buy a T-Bill, we use the formula:

Price = Face Value / (1 + Discount Rate * (Days to Maturity / 360))

In this case, the face value is $10,000, the number of days to maturity is 129 days, and the bid rate is 0.278 (as a decimal).

Substituting the values into the formula, we have:

Price = $10,000 / (1 + 0.278 * (129 / 360))

Simplifying the expression, we get:

Price = $10,000 / (1 + 0.278 * 0.3583)

Price = $10,000 / (1 + 0.0991634)

Price = $10,000 / 1.0991634

Price ≈ $9,098.40

Therefore, at a bid rate of 0.278, you can buy the T-Bill maturing on September 22 for approximately $9,098.40.

Please note that the bid rate is in decimal form (0.278) and we assume a 360-day year for T-Bill calculations.

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The appropriate technique for this study would be regression analysis. So, correct option is 2.

Regression analysis is a statistical tool that is used to determine the relationship between a dependent variable and one or more independent variables. In this case, the dependent variable is the house value, and the independent variables are the size of the house, whether it has a pool, the material with which it is built, and the location of the house.

The purpose of regression analysis is to estimate the values of the dependent variable based on the values of the independent variables. By using regression analysis, the researcher can determine the degree to which each independent variable contributes to the variation in house value.

This information can be used to determine which factors are the most important in determining the value of a house.

Therefore, regression analysis would be the appropriate technique for this study because it allows the researcher to investigate the relationship between the dependent and independent variables and to determine the extent to which each independent variable affects the dependent variable.

So, correct option is 2.

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Answer:

The point of intersection is located at approximately (1.75,7.75), which means both planes will be at an altitude of about 7,750 feet after approximately 1.75 minutes, or 1 minute, 45 seconds.

This is what the graph looks like:

Step-by-step explanation:

The intersection of the lines will be (1.692, 7.769). Then the graph of the lines is drawn below.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Plane A is plummeting toward the neighborhood air terminal at a pace of 2,500 feet/minute. It is right now at an elevation of 12,000 feet. Plane B is climbing from a similar air terminal at a pace of 4,000 feet/minute. It is at present at an elevation of 1,000 feet. This arrangement of conditions models what is happening, where x addresses the time in minutes and y addresses the elevation in a large number of feet:

y = 12 − 2.5x              ...1

y = 1 + 4x                  ...2

From equations 1 and 2, we have

1 + 4x = 12 - 2.5x

6.5x = 11

x = 1.692

Then the value of 'y' will be given as,

y = 12 - 2.5 (1.692)

y = 7.769

The intersection of the lines will be (1.692, 7.769). Then the graph of the lines is drawn below.

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Answer:

4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.

Step-by-step explanation:

According to the question,

So, In 8 hours each student can deliver:

35 × 8 = 280 newspapers

50 × 8 = 400 magazines

To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.

\( \therefore\)

For Newspapers:

875/280 = 3.125

So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.

For magazines:

1200/400 = 3

3 students are needed to deliver magazines.

Answer:

0.625 years = 7.5 months

Step-by-step explanation:

Simple interest formula = rxtxp divided by 100

R x T x P / 100 = 30

Substitute all the values we know

3.2 x T x 1500/100 = 30

Simplify and rearrange =

3.2 x T x 1500 = 3000

3.2 x T = 2

T = 2/3.2

T = 0.625

The concentrations of the other three tubes are 1500 ng/ml, 15000 ng/ml, and 150000 ng/ml, respectively.

In order to answer the question, we need to have more information about the dilution factor of the tubes. Assuming that all the tubes have the same dilution factor, we can use the formula:C1V1 = C2V2

Where,C1 = concentration of the initial solution,V1 = volume of the initial solution,C2 = concentration of the final solution,V2 = volume of the final solution

Given that the concentration of the first tube is 150 ng/ml, we can use the above formula to calculate the concentrations of the other three tubes, provided we know the dilution factor.

Let's assume that the dilution factor is 10, which means that the initial volume was diluted by a factor of 10 to obtain the final volume in each tube.

Using the formula,C1V1 = C2V2

For tube 1, C1 = 150 ng/ml, V1 = 1 ml (assuming initial volume is 1 ml), C2 = concentration of tube 2, V2 = 0.1 ml (assuming a dilution factor of 10)

Substituting the values,150 x 1 = C2 x 0.1C2 = 1500 ng/ml

Therefore, the concentration of tube 2 is 1500 ng/ml.

Repeating the same process for the other two tubes, we get:C3 = 15000 ng/mlC4 = 150000 ng/ml

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Answer:

Step-by-step explanation:

|<-------------- 60 ---------------->|

M----------------N-------------------P

     6x - 7              2x + 3

find:  x

MP = MN + NP

60 = 6x - 7 + 2x + 3

60 + 7 - 3 = 6x + 2x

64 = 8x

x = 64/8

x = 8

No, the Adoncia drawing will not fit on the drawing sheet.

Given adoncia is drawing to scale, she uses a 15-foot scale in the 1-inch monument. And in the drawing, the front of the monument is about 80 feet high and 200 feet long.

The given parameters are;

The scale of the drawing in the front of the monument is 15 ft = 1 in.

Actual size of the monument;

Height = 80 feet

Length = 200 feet.

So we have;

Required size of  paper height = 80/15 = 16/3 = 5.33 in.

Required size of  paper length = 200/15 = 40/3 = 13.33 in.

The size of the paper is 11 in. about the size of a standard 8.5-inch sheet of letterhead. equals 11 in.

Design length, 13.33" > Paper length > 11".

Therefore, when Adoncia draws a scale drawing of the front of the linco and she uses the 15ft scale  in the 1in monument, the drawing does not fit on the paper.

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It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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Answer:

~14.2066 years

Step-by-step explanation:

assuming p.a. means per annual:

$500,000 with intrest rate 5% per year. how many years for money to become $1,000,000?

with annual intrest, a percentage of the money you invest is added to your balance every year

set up equation: (original money*(1+ intrest rate))^x=goal money

there is a 1 because you are adding on to the original (100%) amount of money

x is the number of years untill goal money. is an exponent because it depends on the previous years balance. note that amount of money gained will change per year.

50,000*(1+0.05)^x=1,000,000

solve------

divide by 50,000 both sides

1*(1+0.05)^x=2

(1+0.05)^x=2

(1.05)^x=2

apply log_1.05

log_1.05 (1.05)^x= log_1.05  2

x= log_1.05  2

use calculator to approx

~14.2067

hope this helps

Answer: 12

Step-by-step explanation: 7+5

Answer:

-2x-10

Step-by-step explanation:

Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.

\(\huge\bold{ANSWER:}\)

-2x-10

\(\bf{EXPLANATION:\)

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

-2(x+5)

-2x-10 (a negative times a negative is a positive)

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts! :)

\(\mathfrak{SilentNature~a.k.a.Sparkles}\)

Answer:

x=<_26/3

OR

x=>_14/3

Add them together and divide

Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Answer:

The mean of the data is 3 inches, is false

Step-by-step explanation:

3, 3, 4, 4, and 6 inches.

To find the mean, add the numbers together and divide by the number of data points

( 3+3+4+4+6)/5 = 20/5 = 4

The median is the middle number

3, 3,    4,      4, and 6 inches.

The median is 4

The range is the largest number minus the smallest number

6-3 =3

Solving

Alright so we know there are two sticks and that one is 10cm longer than the other. Knowing this information we can start off by dividing the total to make the sticks equal in length.

80cm ÷ 2 = 40cm

^ So currently each stick is 40cm

From here we have to make one stick 10cm longer so we would subtract 10cm from one and add that 10cm to the other one.

Stick 1:  40cm - 10cm = 30cm
Stick 2: 40cm + 10cm = 50cm


Answer

This means that the longest stick is 50cm in length

The length of the longest stick is 45cm.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's call the length of the shorter stick "x".

According to the problem, the longer stick is 10cm longer than the shorter stick, so its length is x + 10.

Now we know that when the two sticks are put end to end, the total length is 80cm.

Therefore, we can write the equation:

x + (x + 10) = 80

Simplifying the equation, we get:

2x + 10 = 80

Subtracting 10 from both sides:

2x = 70

Dividing both sides by 2:

x = 35

The length of the shorter stick is 35cm, and the length of the longer stick is:

x + 10 = 35 + 10 = 45

Therefore,

The length of the longest stick is 45cm.

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:   255

Step-by-step explanation:

Try thinking backwards first; 51*(0.20)=10.2, or 10.2 is 20% of 52

To find 20% of the unknown number, just divide 51 by 0.20

51/0.20=255

Whatever the answer is, you know it has to be larger than the original number.

Answer:

x = -2/5

i think

The statement that is true about the angle formed by the tangent JL and the secant JG is the option A.

A. The measure of ∠J is 25° and the triangle JKG is isosceles

A tangent is a straight line that touches a curve at (only) one point at which the slope of the tangent line and the slope of the curve are the same

The parameters of the circle are;

\(m\widehat{HK}\) = 50°

m∠GKL = 50°

m∠GKL = 0.5 × \(m\widehat{KG}\)

Therefore;

0.5 × \(m\widehat{KG}\) = 50°

\(m\widehat{KG}\) = 50° ÷ 0.5 = 100°

According to the angles formed by tangent and secant outside a circle theorem, the angle J formed by the tangent JL and the secant JG is half of the difference between arc \(m\widehat{KG}\) and arc \(m\widehat{HK}\)

Therefore;

\(\angle J = \dfrac{m\widehat{KG}-m\widehat{HK}}{2}\)

Which gives;

\(\angle J = \dfrac{100^{\circ}-50^{\circ}}{2}=25^{\circ}\)

The measure of ∠J = 25°

∠GKL = ∠J + ∠G (exterior angle of a triangle postulate)

Plugging in the values of ∠GKL, ∠J, and ∠G, we have;

50° = 25° + ∠G

∠G = 50° - 25° = 25°

∠G = 25°

The base angles of triangle ΔJKG (∠J and ∠G) are congruent by the definition of congruency, therefore, triangle ΔJKG is an isosceles triangle.

The correct option is therefore;

A. The measure of ∠J is 25°, and triangle JKG is an isosceles triangle

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The explanation provided is incorrect. The correct interpretation of the 95% confidence interval is that we are 95% confident that the true population mean BMI falls within the interval of 26.2 to 27.4. It does not imply that the population mean BMI will be within this range in about 95% of the samples.

A 95% confidence interval is constructed based on the observed sample data and is used to estimate the range within which the true population parameter (in this case, the mean BMI) is likely to fall. The confidence interval of 26.8 ± 0.6 means that we are 95% confident that the true population mean BMI falls within the range of 26.2 to 27.4. This interval is derived from the sample data and the properties of the sampling distribution.

However, it is important to note that the interpretation of a confidence interval does not apply to individual samples. It means that if we were to repeatedly sample from the population and construct 95% confidence intervals, approximately 95% of those intervals would capture the true population mean BMI. This statement refers to the long-term behavior of confidence intervals, not to any specific sample. Therefore, it is incorrect to claim that the population mean BMI will be between 26.2 and 27.4 in about 95% of the individual samples.

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Answer:

The answer is 352 cubic units

Answer:

539.7 meters above sea level.

Step-by-step explanation:

Okay in order to solve this problem we can take it one step at a time. First, he starts at an altitude of 120.4 meters above sea level.

Then he hikes up an additional (meaning we add) 850.0 meters.

120.4 + 850.0 = 970.4

Next, Chandler hikes down (meaning we subtract) 430.7 meters.

970.4 - 430.7 = 539.7

Therefore, we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

Answer:

539.7 meters above sea level.

Step-by-step explanation:

, he starts at an altitude of 120.4 meters above sea level.

he hikes up an additional ( add) 850.0 meters.

120.4 + 850.0 = 970.4

Chandler hikes down ( subtract) 430.7 meters.

970.4 - 430.7 = 539.7

we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

Step-by-step explanation:

The solution of the equation for h is as follows:

h = 2r

The equation is represented as follows:

2πr³ = πr²h

where

Therefore, let's make h the subject of the formula

2πr³ = πr²h

Divide both sides by πr²

2πr³ / πr² = πr²h / πr²

h = 2r

Therefore, the solution of the equation for h is as follows:

h = 2r

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The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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To find the marginal density of X/Y, we need to integrate the joint density function fXY(x, y) over the range of Y. By performing the integration, we obtain the marginal density of X/Y as a function of X. The resulting marginal density provides information about the distribution of the ratio X/Y.

The marginal density of X/Y can be obtained by integrating the joint density function fXY(x, y) over the range of Y. In this case, the joint density function is given by:

fXY(x, y) =

  24xy    if x >= 0, y >= 0, and x + y <= 1

  0       otherwise

To find the marginal density of X/Y, we integrate fXY(x, y) with respect to y, while keeping x as a constant. The integration limits for y can be determined based on the given conditions x >= 0, y >= 0, and x + y <= 1. Since y must be non-negative, the lower limit of integration is 0. The upper limit of integration can be determined by the constraint x + y <= 1, which implies y <= 1 - x.

Integrating fXY(x, y) over the range of y, we obtain the marginal density of X/Y as follows:

fX/Y(x) = ∫[0 to (1 - x)] 24xy dy

Evaluating the integral, we have:

fX/Y(x) = 24x * ∫[0 to (1 - x)] y dy

       = 24x * [(y^2)/2] evaluated from 0 to (1 - x)

       = 12x * (1 - x)^2

The resulting marginal density fX/Y(x) represents the distribution of the ratio X/Y. It provides information about the likelihood of different values of X/Y occurring. The shape of the distribution can be further analyzed to understand the characteristics of the random variable X/Y.

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Work Shown:

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-5\pm\sqrt{(5)^2-4(3)(-1)}}{2(3)}\\\\x = \frac{-5\pm\sqrt{37}}{6}\\\\x \approx \frac{-5\pm6.08276253}{6}\\\\x \approx \frac{-5+6.08276253}{6} \ \text{ or } \ x \approx \frac{-5-6.08276253}{6}\\\\x \approx \frac{1.08276253}{6} \ \text{ or } \ x \approx \frac{-11.08276253}{6}\\\\x \approx 0.18046042 \ \text{ or } \ x \approx -1.84712707\\\\x \approx 0.18 \ \text{ or } \ x \approx -1.85\\\\\)

I used the quadratic formula.

Visual confirmation is shown below. The solutions are the x coordinates of the x intercepts, aka roots. GeoGebra is another tool you can use if you prefer that over Desmos. Both are free apps.

Answer:

15

Step-by-step explanation:

2 + 13 = 15

15( 3 ) = 45

45-35= 15

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations.

As per the given data:

Cost of one trail mix = $3.00 per pound

Cost of another trail mix = $1. 50 per pound

The grocer makes 15 lb of trail mix that costs $2.50 per pound.

Let's assume the grocer used 'A' pounds of $3.00 per pound trail mix and 'B' pounds of  $1. 50 per pound trail mix.

Total quantity of $2.50 per pound trail mix = 15 lb

Now, from the given data,

A + B = 15 ...(i)

Also, the total cost is going to remain the same.

3A + 1.5B = 15 × 2.50

3A + 1.5B = 37.5 ...(ii)

Using eq(i) A = 15 - B

Substituting in (ii):

3(15 - B) + 1.5B = 37.5

45 - 3B + 1.5B = 37.5

B = 7.5/1.5

B = 5

and A = 10

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Hence, The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

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There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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