A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there

Answer:

The mean is  [tex]\mu = 2.1[/tex]

Step-by-step explanation:

The mean number of employees calling sick per day can  be mathematically represented as

       [tex]\mu = 0* 0.05 + 1 * 0.40 + 2 * 0.3 + 3 * 0.3 + 4*0.05[/tex]

      [tex]\mu = 2.1[/tex]

Answer:

676,000 possible license plate

Step-by-step explanation:

Each letter has 26 possible values (from A to Z), and each digit has 10 possible values (from 0 to 9).

So to find the number of license plates we can have, we just need to multiply the number of possible values for each letter and each digit, We have 2 letters and 3 digits, so we have:

Number of plates = 26 * 26 * 10 * 10 * 10 = 676000

We have 676,000 possible licence plates in this state.

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:

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:

(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:

D. No comma because the total probability is not equal to 1.

Step-by-step explanation:

Given the distribution:

[tex]\left|\begin{array}{c|cccccc}x&0&1&2&3&4&5\\ P(x)&1/25&1/5&1/2&3/4& 1/50&1/100\end{array}\right|[/tex]

The sum of the probabilities

[tex]\sum P(x)=1/25+1/5+1/2+3/4+ 1/50+1/100\\\sum P(x) =1.52 \neq 1[/tex]

Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.

The correct option is D.

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:

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

#SPJ2

Answer:

Let's simplify step-by-step.

[tex]4x^4-2x^3-(8x^4+3x^3+5x^2)[/tex]

Distribute the Negative Sign:

[tex]4x^4-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]

[tex]4x^4+-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]

[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]

Combine Like Terms:

[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]

[tex](4x^4+-8x^4)+(-2x^3+-3x^3)+(-5x^2)[/tex]

[tex]-4x^4+-5x^3+-5x^2[/tex]

Answer:

[tex]-4x^4-5x^3-5x^2[/tex]  This is the answer

I hope this help you :)

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:

U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped

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:

Step-by-step explanation:

pls find below

hope this helps

Answer:

C

Step-by-step explanation:

took the test

Answer:

$6,259,057.84

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

[tex]e^{0.0938*t}[/tex]

t is the number of years

so the account balance in 42 years is

[tex]57,500e^{0.0938*42}=6,259,057.84....\\[/tex]

so it gives

$6,259,057.84

hope this helps

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 same

Step-by-step explanation:

Answer:

The two solutions can be +10 and -10

Step-by-step explanation:

b^2 - 100 = 0

b^2 = 100

Take the root of both sides

b = +- 10

b = +10 , b = -10

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

Answer:

ACE = 80

Step-by-step explanation:

ACD and ACE form a straight line so they add to 180 degrees

ACD + ACE = 180

100 + ACE = 180

Subtract 100 from each side

100-100 + ACE = 180-100

ACE = 80

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:

The population of interest is all the students at the University, to find their parking times.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

Here, the population of interest is all New York state residents.

An administrator inconspicuously followed 250 students and carefully recorded their parking times.

Sample of 250 students at the University.

So the population of interest is all the students at the University, to find their parking times.

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:

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 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:

[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:

[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: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:

[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 the answers below. Thanks!

Step-by-step explanation:

(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."

(b). P(X=15) = 0.1702

(c). P(X<15) = 0.0673

(d). P(X>=15) = 1 - P(X<15) = 0.9327

(e). P(13<=X<=15) = 0.1482

Best Regards!

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:

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