Robin purchased a $160,000 182-day T-bill discounted to yield 1.96%. When he sold it 45 days later, yields had dropped to 1.82%. How much did Robin earn?

Create a 90% confidence interval for the percentage of people the company contacts who may buy something.

Answer:

CI = (8.84%, 11.92%)

We are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.

Step-by-step explanation:

We are given;

n = 1060

x = 110

Confidence level = 90%

Sample proportion; p^ = x/n = 110/1060

p^ = 0.1038

DF = n - 1 = 1060 - 1 = 1059

From the table attached, the critical value for a confidence level of 90% at a DF greater than 1000 is 1.645

Formula for CI is;

CI = p^ ± t√(p^(1 - p^)/n)

CI = 0.1038 ± 1.645√(0.1038(1 - 0.1038)/1060)

CI = 0.1038 ± 0.0154

CI = (0.0884, 0.1192) or

CI = (8.84%, 11.92%)

Thus, we are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.

Answer:

Step-by-step explanation:Your table is filled in below. Step-by-step explanation: The scale factor is the ratio of image size to original size.

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

56.8

Step-by-step explanation:

Answer:

56.8

Step-by-step explanation:

10 / 3 = 3.3333333

  3.3333333

x 17.040000

------------------

            56.8

Answer:

Step-by-step explanation:

I'll do the first part for you:

The number of 3/4 in 2 is \(=2/\frac{3}{4}\)

That is the division equation.  Rearrange it to make the multiplication equation.  keep...change...flip.  Change the division to a multiplication and flip the fraction:

The number of 3/4 in 2 =\(=2.\frac{4}{3}\)

Answer: AB> AC> BC

Step-by-step explanation:

A+B= 134

A+C= 124

B+C= 102

Therefore, the sides from greatest to least are AB>AC>BC.

Answer: sin(0) = 40.804/41

Step-by-step explanation:

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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Answer:

6(3x-1)

Step-by-step explanation:

They both have a common factor of 6

So divide 6 and take it out to give:

6(3x-1)

Answer:

b = 4

Step-by-step explanation:

4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions

Answer:

Hey there i see that you are doing scientific notation things well i will help you

Step-by-step explanation:

so 5.2 X 10 to the 5th power = 520000

3.9 X 10 to the 8th power = 390000000

and 4.7 X 10 to the 5th power  = 470000

so on that info the answer is

4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)

hope you have a nice day

Answer and work is all shown in the provided screenshot! I hope this helps! :)

Answer:

$45.84

Step-by-step explanation:

if you buy an item at $65.49 with 30% discount, you will pay 65.49 - 19.647 = 45.84 dollars.

hope this helps

Answer:

Step-by-step explanation:

$45.84 is the discount

The distance (segment SD) from the ship to the shore and  Gilligan sees a ship coming close to the shore he's standing on.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.

As a result, Gilligan may deduce that triangles ABC and SDC are comparable.

How to Determine SD Distance

To do this, we employ the corresponding ratio shown below.

90 should be substituted for AB.

Calculate as a fraction

Make SD the topic.

As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.

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Answer:  The answer is:  " 72 words per minute. "

___________________________

Step-by-step explanation:

___________________________

This is a "unit rate" problem.

We want to solve for/ find the number of words PER single minute.

___________________________

Given 48 words per (2/3) minute;

How many words per (one) minute?

__________________________

The answer is {48 ÷ (2/3) } words per minute:

 Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:

Hence:

__________________________

The answer is {48 * (3/2) } words per minute:

__________________________

 Write as:

  " \(\frac{48}{1} *\frac{3}{2}\) " ;

__________________________

  The "48" can be changed to "24" ; and the "2" can be changed to "1" ;

   → {Since: "48 ÷ 2 = 24 "} ;

___________________________

And we have:

___________________________

  " \(\frac{24}{1} *\frac{3}{1} = 24 * 3 = 72\) " ;

___________________________

The answer is:  " 72 words per minute ."

___________________________

Hope this is helpful to you!

___________________________

Answer:

sh.345

Step-by-step explanation:

The difference between the price selling with profit and price selling at a loss is 420-320 = 100

Profit is thrice the loss says we can take the difference in prices and divide it into 4 parts, x and 3x, representing the loss and thrice the loss, or profit margin.

x + 3x = 100

4x = 100

x = 25

loss would be 25,

profit would be 75

--------------------

sold at a profit: 420 -75 = sh.345

----------------

Does this exercise seem similar to what you're doing in class?

Given:

8 + 3x = -13

To solve for x:

First step:

Subtract 8 from both sides of the equation

8 - 8 + 3x = -13 - 8

3x = -21

Next step:

Divide both sides of the equation by 3

ANSWER:

x = -7

Answer:

B C D

Step-by-step explanation:

Answer:

fgh(x)=4\(\sqrt{x}\) -14

Step-by-step explanation:

when solving composite fuctions we go from the right to the left

meaning we replace the x in the g function with the entire h function

then replace the x in the f function with the entire new g function

h(x)=\(\sqrt{x}\)

g(\(\sqrt{x}\))=\(\sqrt{x}\) -5

f(\(\sqrt{x}\)-5)=4(\(\sqrt{x}\) -5)+6

f(\(\sqrt{x}\)-5)=4\(\sqrt{x}\) -20+6

fgh(x)=4\(\sqrt{x}\) -14

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Answer:

D.

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting

a) 0 defective resistors: 0.3164

b) 1 defective resistor: 0.4219

c) 3 defective resistor: 0.0469

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Probability

First step is to calculate the probability for a defective resistor and non-defective resistor:

Probability=3/12

Probability =0.25

Non-defective resistor:

Probability=(1-0.25)

Probability=0.75

Now  let find the probabilities for defective resistors from 0 to 3

P(0)=1(0.75)^4 ×(0.25)^0

P(0)=0.3164

P(1)=4(0.75)^3× (0.25)^1

P(1)=0.4219

P(2)=6(0.75)^2× (0.25)^2

P(2)=0.2109

P(3)=4(0.75)^0×(0.25)^3

P(3)=0.0469

P(4)=1(0.75)^0 × (0.25)^4

P(4)=0.0039

Hence,

a. P(0)=0.3164

b. P(1)=0.4219

c. P(3)=0.0469

Therefore If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting 0 defective resistors: 0.3164, 1 defective resistor: 0.4219, 3 defective resistor: 0.0469.

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If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer: x=4

Step-by-step explanation:

Simplify the left side of 9x-3x-5=19 by combining like terms:

6x-5=19

Add 5 to both sides:

(6x-5)+5=19+5

Simplify:

6x=24

Divide both sides by 6:

(6x)/6=24/6

Simplify:

x=4

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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