GIVING 45points What is the measure of angle 1?
129
65
12
36°
086°
0899
094°

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

Answer:

408 widgets

Step-by-step explanation:

Data provided in the question

WP = Total number of widgets produced = 3,400 widgets

DP = Defective percentage = 12%

Based on the above information, the number of widgets that are defective is

[tex]= WP \times DP[/tex]

[tex]= 3,400\ widgets \times 12\%[/tex]

= 408 widgets

We simply multiplied the total number of widgets produced by the defective percentage so that the defective widgets could come

Answer:

The answers are B,D,F

Answer:

1. C

2. A

3. A

Step-by-step explanation:

1. It is the Symmetric Property of Congruence because the definition is literally what it says.

2. Incomplete sentences don't matter as long as you have the right stuff.

3. Step 2 is wrong because it should be Definition of Midpoint.

If Curtis is attempting to defend a step in his proof paragraph. He should apply the symmetric property of congruence so that he can demonstrate that AB=BC and that BC=AB. It's best to choose C.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

A)If Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

B)All of the following would make a formal proof incomplete except Incomplete sentences. Option A is correct.

C)Step 2 in the proof has a flaw Because it is not a symmetric property while they show congruency because it must be a midpoint definition. Option A is correct.

Thus, if Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

Learn more about geometry here:

brainly.com/question/16836548

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Answer:

Probability that exactly one person says he or she enjoys the beach = 80%

Check Explanation for how to get this and which error the studemt that made the 100% claim must have made.

Step-by-step explanation:

The simulation presented is that for a series of two people sample.

Numbers 0 to 6 represents that the beach-goer enjoys going to the beach and numbers 7 to 9 represents that the beach-goer doesn't enjoy going to the beach.

So, the simulation is then obtained to be

(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)

Using the simulation, estimate the probability that exactly one person says he or she enjoys the beach

From the simulation, the ones with exactly one of the two numbers ranging from 0 to 6 to indicate enjoying going to the beach include

(5,8) (2,7) (0,9) (9,0) (1,9) (4,7) (6,7) (7,5)

The probability of an event is defined and expressed as the number of elements in that event divided by the total number of elements in the sample space.

Probabilty that exactly one person says he or she enjoys the beach = (8/10) = 0.80 = 80%

The student claims that this probability is 100%, but the other two simulations that did not satisfy the condition of exactly one person saying that he or she enjoys the beach include

(0,2) and (0,3), which show that in the two cases, the two participants both expressed enjoying going to the beach.

The student's error must have been in counting these two simulations as part of 'exactly one person saying he or she enjoys the beach' which is indeed an error.

Hope this Helps!!!

Answer:

[tex]70^\circ, 250^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan x= 2.7475[/tex]

and  [tex]0^\circ < x < 360^\circ[/tex] i.e. [tex]x[/tex] lies in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] or [tex]0\ to\ 2\pi[/tex].

To find: The possible values for x in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] = ?

First of all, let us learn something about [tex]tan\theta[/tex].

In a right angled triangle the value of [tex]tan\theta[/tex] can be calculated as follows:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

i.e. [tex]tan\theta[/tex]  is equal to the ratio of Perpendicular to Base in a right angled triangle.

We are given that:

[tex]tan x= 2.7475[/tex]

[tex]\Rightarrow x = tan^{-1}(2.7475)\\\Rightarrow x = 70^\circ[/tex]

So, the value of x in first quadrant is [tex]70^\circ[/tex].

It is also known that value of tangent is positive in the first and third quadrant.

We are given a positive value of tangent here,

So, another value of [tex]x = 180^\circ+70^\circ = 250^\circ[/tex]

Hence, the correct answers are:  [tex]x=70^\circ, 250^\circ[/tex]

Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

[tex]2x-3(0)=-19[/tex]

[tex]2x=-19[/tex]

[tex]x=-19/2[/tex]

Answer:

The null and alternative hypothesis are:

[tex]H_0: \mu=40.1\\\\H_a:\mu< 40.1[/tex]

Step-by-step explanation:

If we want to test the claim that there is a reduction in the average work week, the null hypothesis should state:

- The alternative hypothesis should state the claim: there is a reduction in the average work week. This can be written as the true mean is less than 40.1

- The null hypothesis should state the oposite of the alternative hypothesis: that there is no significant reduction in the average work week. This can be written as the true mean is equal to 40.1.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=40.1\\\\H_a:\mu< 40.1[/tex]

Answer:

32

Step-by-step explanation:

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that [tex]p = 0.1[/tex]

Twenty speakers are randomly selected.

This means that [tex]n = 20[/tex]

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

[tex]E(X) = np = 20*0.1 = 2[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34[/tex]

The expected value of X is 2 with a standard deviation of 1.34.

Answer:

Step-by-step explanation:

If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...

  £31 -16 = £15

Each child ticket is then £15/3 = £5.

An adult ticket costs £8; a child ticket costs £5.

Answer:

  5

Step-by-step explanation:

To put the equation in standard form, add 6 to both sides.

  x^2 +4x -1 +6 = -6 +6

  x^2 +4x +5 = 0

The new value of "c" (the constant) is 5.

Answer:

C or 5 for me

Step-by-step explanation:

Answer:

C. 20(1/2)

Step-by-step explanation:

Let's find the value of the expression before looking for the nearest estimate

(19 4/5) (4/6) = 19 *(4/5)(4/6)

(19 4/5) (4/6) = 19(16/30)

(19 4/5) (4/6) = 19(8/15)

(19 4/5) (4/6) = (19*8)/15

(19 4/5) (4/6) = 152/15

(19 4/5) (4/6) = 10(2/15)

A. 16(1/3) =5.33

B. 19(2/3) = 12.667

C. 20(1/2) = 10

D. 20(1)= 20

The nearest to the expression is C. 20(1/2)

Answer:

first blank: 22

second blank: 1

third blank: 7

fourth blank: 18

Step-by-step explanation:

edge 2020

Answer: 22, 1, 7, 18

The results of a survey of common allergies was organized into a Venn diagram.

Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1.

Answer the questions about the following sets:

D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen}

How many people are not allergic to any of the three choices?

✔ 22

How many people are allergic to all three choices?

✔ 1

How many people are allergic to both dogs and cats but not allergic to pollen?

✔ 7

How many people are allergic to cats only?

✔ 18

Answer:2

Step-by-step explanation:

v= is the midpoint of xn and wy

Answer:

Option 1

Step-by-step explanation:

The line XZ and line WY parallelogram have a midpoint or center. That is point V.

The lines are the two diagonals of a parallelogram.

Since the diagonals XZ and WY divide each other into equal segments, the diagonals bisect each other. Since the diagonals XZ and WY bisect each other at point V, point V is the midpoint of each diagonal. That is the definition of midpoint.

Answer:

Step-by-step explanation:

The 50 people might be random, depending on when the question was done.  

The 50 people might be random if there's roughly the same number of men as women, but to accomplish this, Isabella would have to pick a time when men would be out shopping.

The 16 are certainly not random, and the question itself is kind of biased.  I would say the answer should be no.

Answer:

a) Area of a rectangle = length × width

Area = 6138cm²

Width = 62m

length = Area / width

length = 6138/62

length = 99m

b) Perimeter of a rectangle = 2l + 2w

l = length

w = width

perimeter = 338m

length = 98m

338 = 2(98) + 2w

2w = 338 - 196

2w = 142

w = 71m

width = 71m

Hope this helps.

Answer:

[tex]\boxed{\sf \ \ age = 10\ \ }[/tex]

Step-by-step explanation:

Hello,

let's write the mean computation, we note x the age of the additional person

[tex]\dfrac{14+14+18+18+22+x}{6}=16[/tex]

[tex]<=> 14+14+18+18+22+x = 6*16=96\\\\<=> x = 96 - ( 14+14+18+18+22)= 10[/tex]

So the age of the person is 10

hope this helps

Answer:

(a) [tex]E(X) = 0.383[/tex]

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) [tex]P(x = 4) = 0.000169[/tex]

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

[tex]$ E(X) = \frac{n \times r}{N} $[/tex]

[tex]$ E(X) = \frac{10 \times 8}{209} $[/tex]

[tex]$ E(X) = \frac{80}{209} $[/tex]

[tex]E(X) = 0.383[/tex]

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

[tex]$ P(x = 4) = \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $[/tex]

For the given case, we have

N = 209

n = 10

r = 8

x = 4

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{70 \times 84944276340}{35216131179263320}[/tex]

[tex]P(x = 4) = 0.000169[/tex]

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Answer: $8179

Step-by-step explanation:

The principal is the amount of money that is invested at a particular interest rate.

In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.

Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:

= $12979 - $4800

= $8179

Answer:

86.47% probability that there is at least one hit in a 30-second period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean rate of four hits per minute.

This means that [tex]\mu = 4n[/tex], in which n is the number of minutes.

What is the probability that there is at least one hit in a 30-second period

30 seconds is 0.5 minutes, so [tex]\mu = 4*0.5 = 2[/tex]

Either the site doesn't get a hit during this period, or it does. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647[/tex]

86.47% probability that there is at least one hit in a 30-second period

Answer:

1/2

Step-by-step explanation:

There are two sides of a coin, therefor you have 1/2 a chance of getting heads or tails. 1/2=50%

Answer:

50%

Step-by-step explanation:

There are 2 sides of a coin which have an equal chance of landing on the visible side. In other words, they each have half of the chance, or 50%.

Answer:

Step-by-step explanation:

pls find below

hope this helps

Answer:

C

Step-by-step explanation:

took the test

Answer:

[tex](a) f(g(x)) = x\\(b) g(f(x)) = x[/tex]

(c) Yes, the functions f and g are inverses of each other.

Step-by-step explanation:

Given the functions:

[tex]f(x) = -9x+3\\g(x) = -\dfrac{1}{9}(x-3)[/tex]

(a) [tex]f(g(x))=?[/tex]

[tex]put\ x = -\dfrac{1}{9}(x-3)\ in\ (-9x+3):[/tex]

[tex]f(g(x))= -9(-\dfrac{1}{9}(x-3)) +3\\\Rightarrow (-\dfrac{-9}{9}(x-3)) +3\\\Rightarrow (\dfrac{9}{9}(x-3)) +3\\\Rightarrow 1(x-3) +3\\\Rightarrow x-3 +3\\\Rightarrow x\\\Rightarrow f(g(x) )=x[/tex]

(b) [tex]g(f(x))=?[/tex]

[tex]put\ x = (-9x+3)\ in\ -\dfrac{1}{9}(x-3):[/tex]

[tex]f(g(x))= (-\dfrac{1}{9}((-9x+3)-3))\\\Rightarrow (-\dfrac{1}{9}(-9x+3-3))\\\Rightarrow (-\dfrac{1}{9}(-9x))\\\Rightarrow (-\dfrac{-9}{9}x)\\\Rightarrow g(f(x))=x[/tex]

(c) Yes, f and g are the inverse functions of each other.

As per the property of inverse function:

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex] then:

[tex]f(f^{-1}(x)) = x[/tex]

And here, we have the following as true:

[tex]f(g(x)) = x\\ g(f(x)) = x[/tex]

[tex]\therefore[/tex] f and g are inverse functions of each other.

Answer:

140.5 units of work

Step-by-step explanation:

The number of units of work by a worker is given as:

Y = -212 + 1.90X2 + 2.00X3 + 0.25X4

X2 = manual dexterity score=100

X3 = mental aptitude score=80

X4 = personnel assessment=10

Substituting these value for X2,X3 and X4 we have :

Y = -212 + 1.90(100) + 2.00(80)+ 0.25(10)

Y =-212 + 190 +160 +2.5= 140.5 units of work

Answer:

10

Step-by-step explanation:

Let the first number be x, and the second number be y.

x + y = 5

x - y = 2

Solve for x in first equation.

x + y = 5

x = 5 - y

Put x as 5-y in the second equation, and solve for y.

(5-y) - y = 2

5 - 2y = 2

-2y = -3

y = 3/2

Put y as 3/2 in the first equation and solve for x.

x + y = 5

x + 3/2 = 5

x = 7/2

The difference of their squares would be:

(7/2)² - (3/2)²

49/4 - 9/4

40/4 = 10

Note: Check the file attached below for the complete question

Answer:

Betty's monthly take home is $20 less

Step-by-step explanation:

Betty's monthly income = $2300

Betty's monthly savings = $200

Amount left after savings = $2300 - $200

Amount left after savings = $2100

Federal and State Income tax rate = 20% = 0.2

Tax amount paid = $420

Monthly take home = $2100 - $420

Monthly take home = $1680

Compared to $150 per month savings, Betty's monthly take home is $20 less

Answer: -3 2/3x - 1

Step-by-step explanation:

-2/3x + 5(3/5 - 3/5x) - 12 / 6 * 2

First distribute

-2/3x + 3 - 3x - 12 / 6 * 2

Now divide 12 by 6

-2/3x + 3 - 3x -2 * 2

Now multiply -2 by 2

-2/3x + 3 - 3x - 4

Now subtract 3x from -2/3x

-3 2/3x + 3 - 4

Now subtract 4 from 3

-3 2/3x - 1

Answer:

Step-by-step explanation:

L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

(A) Jerry does not have an internet connection

L(x) = 0

Where X represents Jerry

(B) Rachel has not chatted over the internet with Chelsea

C(x,y) = 0

Where X and Y represent Rachel and Chelsea

(C) Jan and Sharon have never chatted over the internet

L(x) + L(y) = 0

Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.

The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.

The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)

Answer:

The 88% confidence interval for the population proportion of full-time employees who favor plan A is (0.208, 0.344).

Step-by-step explanation:

The question is incomplete: it lacks the sample data.

We will work with a sample size n=105 and a count of X=29 that prefer adopting the plan A.

We have to calculate a 88% confidence interval for the proportion.

The sample proportion is p=0.276.

[tex]p=X/n=29/105=0.276[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.276*0.724}{105}}\\\\\\ \sigma_p=\sqrt{0.001903}=0.0436[/tex]

The critical z-value for a 88% confidence interval is z=1.555.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.555 \cdot 0.0436=0.0678[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.276-0.0678=0.208\\\\UL=p+z \cdot \sigma_p = 0.276+0.0678=0.344[/tex]

The 88% confidence interval for the population proportion is (0.208, 0.344).

The 88% confidence interval is given by (0.208,0.344) and this can be determined by using the given data.

Given :

First, determine the sample proportion p:

[tex]\rm p=\dfrac{X}{n}=\dfrac{29}{105}[/tex]

P = 0.276

Now, determine the standard error:

[tex]\rm \sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]\rm \sigma_p=\sqrt{\dfrac{0.276(1-0.276)}{105}}[/tex]

[tex]\sigma_p=0.0436[/tex]

For 88% confidence level the value of z-value is 1.555.

Now, determine the margin of error.

[tex]\rm ME = z\times \sigma_p=1.555\times 0.0436[/tex]

ME = 0.0678

For the confidence interval, the upper and lower bounds are:

[tex]\rm LL = p-z\times \sigma_p=0.276-0.0678= 0.208[/tex]

[tex]\rm UL = p+z\times \sigma_p=0.276+0.0678= 0.344[/tex]

Therefore, the 88% confidence interval is given by (0.208,0.344).

For more information, refer to the link given below:

https://brainly.com/question/10951564

Answer:

  41,850

Step-by-step explanation:

The 4th digit from the left is in the 10s place, so you need to round to that place. This requires rounding up, since the 1s digit is more than 4.

  41,850 . . . . to 4 significant figures