The price of a visit to the dentist is $ 50 $50dollar sign, 50. If the dentist fills any cavities, an additional charge of $ 100 $100dollar sign, 100 per cavity gets added to the bill. If the dentist finds n nn cavities, what will the cost of the visit be? Write your answer as an expression. $ $dollar sign .

Answer:

Principal

Step-by-step explanation:

Given

[tex]Debt = \$500[/tex]

[tex]Spent = 29\ cents[/tex]

Required

Determine what the given parameters describe

Literally, the principal amount is the starting amount of anything and as seen in the given parameters, the starting amount is the debt which amounts to $500

Taking the options one after the other;

We can conclude that the given parameters do not talk about Interest, Rate of interest and Time constraint;

Hence, D. Principal answers the question.

The given parameters do not relate to interest

Answer:

There is not enough evidence to support the mangers claim.

Step-by-step explanation:

We are given;

Sample Size; n = 1600

Sample proportion; p^ = 0.26

Population Proportion; p = 0.24

The hypotheses are;

Null Hypothesis: H0: p = 0.24

Alternative Hypothesis: Ha: p ≠ 0.24

The z-formula for this is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values, we have;

z = (0.26 - 0.24)/√(0.24(1 - 0.24)/1600)

z = 0.02/0.01067707825

z = 1.87

From online p-value from z-score calculator, with 2 tail attached, we have;

p = 0.061484

This p-value is less than the significance level of 0.1. Thus, we will reject the null hypothesis and conclude that there is not enough evidence to support the managers claim.

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

Answer:

2,000 children attended and 1,250 adults attended.

The equations needed to solve these problems are:

[tex]x+y=3250\\2.00x+4.50y=9625[/tex]

Step-by-step explanation:

First, set up a system of equations.  Let "x" equal the number of children who attended the class and let "y" equal the number of adults who attended the class.

Our two equations to use to solve this problem are:

[tex]x+y=3250\\2.00x+4.50y=9625[/tex]

Then, I took the first equation and I isolated the x-variable:

[tex]x+y=3250\\x+y-y=3250-y\\x=3250-y[/tex]

Then, I substituted (3250-y) in for the x-variable in the second equation and I solved for "y":

[tex]2.00x+4.50y=9625\\2.00(3250-y)+4.50y=9625\\6500-2.00y+4.50y=9625\\6500+2.50y=9625\\6500-6500+2.50y=9625-6500\\2.5y=3125\\\frac{2.5y}{2.5}=\frac{3125}{2.5}\\ y=1250[/tex]

Next, I substituted the y-value that I got in for the y-variable in the first equation:

[tex]x+y=3250\\x+1250=3250\\x+1250-1250=3250-1250\\x=2000[/tex]

Finally, now that I have found both the x-value and the y-value, I will use the values to check  in both of my equations:

Equation 1:

[tex]x+y=3250\\2000+1250=3250\\3250=3250[/tex]

It works for Equation 1.

Equation 2:

[tex]2.00x+4.50y=9625\\2.00(2000)+4.50(1250)=9625\\4000+5625=9625\\9625=9625[/tex]

It works for Equation 2.

Therefore, the values work.

That means that 2000 children attended the class and 1250 adults attended the class.

Answer:

false... the person said i wasnt sure so i had to put a solid answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

False.  Sample size has direct bearing on the size of the confidence interval being calculated.

Answer:

He will have 12 small shirts and 18 large shirts.

Step-by-step explanation:

How I know this is because to get from 4 to 24 you have to multiply by 6, so I multiplied 6x2 and got 12, and I also multiplied 6x3 and got 18.

The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that a manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered.

The manager plans to order 24 medium shirts.

We need to get from 4 to 24.

So we have to multiply by 6,

so multiplied 6 x 2 = 12,

and multiplied 6 x 3 = 18.

Therefore, The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

Learn more about the unitary method;

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#SPJ2

Answer:

a= about 2.7 pounds of apples

Step-by-step explanation:

2.14=0.99a-0.50

2.64=0.99a

Answer:

-4x-7

Step-by-step explanation:

Add like terms, aka the Xs and the normal numbers

Answer:

35.71%

Step-by-step explanation:

So, let's determine the number of jobs the industry will have in 2030.

So, in 2020, the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

[tex]PC=\frac{New-Old}{Old}\cdot100\%[/tex]

The new value is 79200 and the old value is 123,200. Substitute them:

[tex]PC=\frac{(79200)-(123200)}{123200}\cdot100\%\\[/tex]

Use a calculator. Simplify:

[tex]PC=\frac{-44000}{123200}\cdot100\%\\ PC\approx-0.3571\cdot100\%\\PC\approx-35.71\%[/tex]

If the result is negative, then it's a decrease. Therefore, the percentage change from 2020 to 2030 is approximately 35.71%

Answer:

The answer is 35.71%

Step by step explanation

In 2020 the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

New−Old

⋅100%

The new value is 79200 and the old value is 123,200. Substitute

123200

(79200)−(123200)

⋅100%

Simplify:

PC≈−0.3571⋅100%

PC≈−35.71%

the percentage change from 2020 to 2030 is 35.71%

Answer: Yes, this is a linear function between P and M.

Step-by-step explanation:

We can define a function as a relation between two or more variables, like y = f(x).

This function, maps the elements x (the input) into elements y (the output).

We have a rule for a function: Each input x can be mapped into only one output y.

In this case, we have:

P = 0.15*M + 20.

Let's prove that each value of M is related to only one value of P.

Suppose that, for a given M0, we have:

0.15*M0 + 20 = p1

and also for M0, we have:

0.15*M0 + 20 = p2

This means that p1 = p2, so we can not have different outputs for the same input.

This is a linear relation, so each value of M is related to only one value of P.

Then this is a function P(m) = 0.15*M + 20.

Answer:

a

normal approximation not appropriate in this instance because  

    [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]

b

  The probability is  [tex]P(X = 3300) = 0.52[/tex]

c

 The probability is  [tex]P(X = 3287) = 0[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n = 3300[/tex]

    The  chance of liking blueberry pie is  [tex]p = 0.9998[/tex]

    The  chance of not  liking blueberry pie is [tex]q = 0.0002[/tex]

For normal approximation is possible if  

       [tex]np > 5[/tex] , [tex]nq > 5[/tex]

Now let test

      [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]  

The  probability that all 3300 people will say they like blueberry pie is mathematically represented as

       [tex]P(X = 3300) = p^{3300}[/tex]

       [tex]P(X = 3300) = (0.9998)^{3300}[/tex]

        [tex]P(X = 3300) = 0.52[/tex]

The probability that 3297 of the people will say that they like blueberry pie is  mathematically represented as

         [tex]P(X = 3287) = \frac{(np)^{3297! } * e^{-np}}{3297}[/tex]

          [tex]P(X = 3287) = \frac{0}{\infty}[/tex]

          [tex]P(X = 3287) = 0[/tex]

Answer:

12.25

Step-by-step explanation:

There are 36 outcomes in a throw of 2 dice throws here.

The amount we would be willing to pay is computed here as the expected product value for the 2 dice as we are risk neutral, therefore we would be using the expected value.

The expected values here are computed as:

X P(X = x) xP(X =x)

1 1 1

2 2 4

3 2 6

4 3 12

5 2 10

6 4 24

8 2 16

9 1 9

10 2 20

12 4 48

15 2 30

16 1 16

18 2 36

20 2 40

24 2 48

25 1 25

30 2 60

36 1 36

36 441

Using the above table, the expected amount here is computed as:

[tex]E(X) = \frac{441}{36} = 12.25 [/tex]

Therefore 49/4 is the required expected value here.

The expected value represents the amount you are willing to pay.

The amount you are willing to pay is #12.25

Let the dice be A and B.

So, we have:

[tex]A = \{1,2,3,4,5,6\}[/tex]

[tex]B = \{1,2,3,4,5,6\}[/tex]

The sample space of the product of the outcomes of the dice is:

[tex]S = \{1,2,3,4,5,6\\2,4,6,8,10,12\\3,6,9,12,15,18\\4,8,12,16,20,24\\5,10,15,20,25,30\\6,12,18,24,30,36\}[/tex]

The sample size is:

[tex]n(S) = 36[/tex]

The amount you are willing to pay is the expected value of the sample space.

This is calculated using:

[tex]Expected = \frac{\sum(S)}{n(S)}[/tex]

[tex]Expected = \frac{1+2+3+4+5+6+.......+36}{36}[/tex]

[tex]Expected = \frac{441}{36}[/tex]

[tex]Expected = 12.25[/tex]

Hence, the amount you are willing to pay is #12.25

Read more about expected values at

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Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = [tex]\sigma[/tex] = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

[tex]n = (\frac{z\times \sigma}{E})^2[/tex]

[tex]= (\frac{1.96\times 840}{150})^2[/tex]

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

Work Shown:

47 + 3x + 10 = 9x - 39

3x + 57 = 9x - 39

3x - 9x = -39 - 57

-6x = -96

x = -96/(-6)

x = 16

Answer: D

Step-by-step explanation:

they shouldn’t be two different sentences they should blend together. “Until the train comes to a complete stop in the station.” is not a complete sentence making it a dependent clause which means it needs its independent clause to complete that sentence

Answer:

All natural numbers are also whole numbers.

Step-by-step explanation:

Natural numbers are called counting numbers. They are numbers you can count. Although, Zero is not among them. Neither are negative numbers. Succinctly put, Natural numbers are numbers you can count with the exception of negative numbers and Zero.

Whole numbers are an extension of natural numbers. Unlike Natural numbers although, whole numbers contain Zero. Yet, like natural numbers, that do not contain negative numbers. As a result, we can call them counting numbers that includes Zero.

Now from the above definitions, we can see that

1, whole numbers and natural numbers have many numbers in common. So then, 1 is wrong.

2, all natural numbers are whole numbers, not some. So then, 2 is wrong

3, all whole numbers are not natural numbers, because Zero is a whole number, yet, it's not a natural number.

4, all natural numbers are whole numbers, and this is our answer.

Answer:  Alice has the prize

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}[/tex]

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Answer:

Stacey wanted to build a model airplane to display in her room. The scale ratio she planned to use was for every 4 feet the airplane was, the model airplane would be 1 inch. If the plane was 250 feet long, how long would the model airplane be?

Here, I used the ratio 4 : 1 as a scale in the problem.

Answer:

can you explain the question better

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1: Solve

We can divide 3 from both sides to get "x" by itself

[tex]3x=1\\\frac{3x}{3} =\frac{1}{3} \\x = \frac{1}{3}[/tex]

Therefore x = [tex]\frac{1}{3}[/tex]

Answer:

[tex]\large \boxed{x=\frac{1}{3} }[/tex]

Step-by-step explanation:

[tex]3x=1[/tex]

We need to solve for the x variable. It is best to isolate the variable on one side of the equation to find the value that makes the equation true.

Divide both sides of the equation by 3.

[tex]\displaystyle \frac{3x}{3} =\frac{1}{3}[/tex]

Simplify the equation.

[tex]\displaystyle x=\frac{1}{3}[/tex]

Answer:

5/12

Step-by-step explanation:

We know that Santos flipped the coin a total of 300 times. Out of the 300 times, he flipped 125 heads. We need to find a simplified ratio equivalent to:

125/300

First, a common factor is 5, so we can divide both sides by 5 to get:

25/60

We can divide it by more to simplify it down, so we can try another 5 to get:

5/12

5/12 would be the simpliest form

So 125/300 is equal to 5/12

Other forms: 5:12, 0.42, %42

Answer:

It's a negative number and ig you can say it's a whole number

Step-by-step explanation:

Answer:

C)It is impossible.

Step-by-step explanation:

According to the situation, the three different points should not be on the same line as it is possible that the circle would possibly a radius of infinite which reflects the impossible as it is nothing but infinite true. So, it is impossible that three different picked points on a line could be on a circle.

There is no straight section across a curvature of a circle as the points cannot be the same distance from the middle as it is the definition of a circle.

So, the correct answer is C

Answer:

Step-by-step explanation:

[tex]-7.1h-(-2k-1)\\-\left(-2k-1\right):\quad 2k+1\\=-7.1h+2k+1[/tex]

Answer:

The temperature at midnight is 100°F.

Step-by-step explanation:

We are given that early this morning the temperature was 54°F, around noon the temperature increase by 45°, at 5 PM a north wind made the temperature fall by 49°F but just before midnight the wind started to blow for from the south making the temperature in rise by 50°F.

Firstly, the early morning temperature was = 54°F

Now, it is stated that around noon the temperature increase by 45°, so the temperature around noon will be = 54°F + 45°F = 99°F

At 5 PM a north wind made the temperature fall by 49°F, this means there will be a decrease in the temperature level = 99°F - 49°F = 50°F

Finally, just before midnight; there is an increase in the temperature level of  50°F, so the temperature at midnight would be = 50°F + 50°F = 100°F

Hence, the temperature at midnight is 100°F.

Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

                              Z  =   ~ N(0,1)

where,  = population mean GPA = 3.2

           = standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

       P(2.9 < X < 3.8) = P(X < 3.8) - P(X  2.9)

       P(X < 3.8) = P(  <  ) = P(Z < 2) = 0.97725

       P(X  2.9) = P(    ) = P(Z  -1) = 1 - P(Z < 1)

                                                        = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

Answer:

Hey there!

February has 28 days on a non leap year.

Valentine's day is February 14th.

Thus, in the 28 days, you can be born on any day between day 1 and day 13.

You have a 13/28 probability to be born before Valentine's day.

Let me know if this helps :)

Step-by-step explanation:

Sin(30)=0.5

Sin(60)=0.866

Sin(30)*sin(60)=0.433

Answer:

18432

Step-by-step explanation:

The first term is 9 and the common ratio is -18 / 9 = 2, therefore the explicit formula is aₙ = 9 * 2⁽ⁿ⁻¹⁾. Therefore, a₁₂ = 9 * 2¹¹ = 18432.

Answer:

-18432

Hey! I got this Answer STRAIGHT OFF OF DeLTA MATH! This answer is correct because it states it is. I think we can trust a Math software more then just some rando dude on the internet! I hope this helped! Also I noticed people put answers online but purposefully make it wrong. Like the answer is 24 but they purposefully put -24. Just a random fact! Anyways hope this helped! Put the heart and your rating on this answer to help other people find it! Let me know if this worked! Bye my loves!