E) Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got
the receipt and saw that the tax was $42.42. What was the sales tax rate for this
purchase?

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

Answer:

35 degrees celsius

Step-by-step explanation:

,

[tex] \frac{7}{8} = \frac{49}{x} \\ 7x = 392 \\ x = \frac{392}{7} \\ x = 56[/tex]

Answer:

x = 56

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/8-(49/x)=0

Step by Step solution:

Step 1:

Simplify 49/x

Equation at the end of step 1:

7/8 - 49/x = 0

Step 2:

Simplify 7/8

Equation at the end of step 2:

7/8 - 49/x = 0

Step 3:

Calculating the Least Common Multiple :

Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       x  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 0 3

Product of all  

Prime Factors  8 1 8

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

x  0 1 1

     Least Common Multiple:

     8x  

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

Left_M = L.C.M / L_Deno = x

 Right_M = L.C.M / R_Deno = 8

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • x

  ——————————————————  =   —————

        L.C.M              8x  

  R. Mult. • R. Num.      49 • 8

  ——————————————————  =   ——————

        L.C.M               8x  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • x - (49 • 8)     7x - 392

————————————————  =  ————————

       8x               8x    

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  7x - 392  =   7 • (x - 56)  

Equation at the end of step

4

:

 7 • (x - 56)

 ————————————  = 0  

      8x      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 7•(x-56)

 ———————— • 8x = 0 • 8x

    8x    

Now, on the left hand side, the  8x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  7  •  (x-56)  = 0

Equations which are never true:

5.2      Solve :    7   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3      Solve  :    x-56 = 0  

Add  56  to both sides of the equation :  

                     x = 56

One solution was found :

x = 56

Probabilities are used to determine the chances of an event.

Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment

(a) The probability a student passed the course given that they completed their homework?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(C) = 30}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{30}}[/tex]

[tex]\mathbf{Pr = 0.8333}[/tex]

Express as percentage

[tex]\mathbf{Pr = 83.33\%}[/tex]

Hence, the probability a student passed the course given that they completed their homework is 83.33%

(b) The probability a student passed the course given that they didn't complete their homework

From the table, we have:

[tex]\mathbf{n(P\ n\ C'= 7}[/tex]

[tex]\mathbf{n(C') = 25}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7}{25}}[/tex]

[tex]\mathbf{Pr = 0.28}[/tex]

Express as percentage

[tex]\mathbf{Pr = 28\%}[/tex]

Hence, the probability a student passed the course given that they didn't complete their homework is 28%

(c) The probability a student completed their homework given that passed the course?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(P) = 32}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{32}}[/tex]

[tex]\mathbf{Pr = 0.78125}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.125\%}[/tex]

Approximate

[tex]\mathbf{Pr = 78.13\%}[/tex]

Hence, the probability a student completed their homework given that they passed the course is 78.13%

(d) The probability a student didn't complete their homework given that they didn't pass the course

From the table, we have:

[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]

[tex]\mathbf{n(P) = 23}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{18}{23}}[/tex]

[tex]\mathbf{Pr = 0.7826}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.26\%}[/tex]

Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%

Read more about probabilities at:

https://brainly.com/question/11234923

The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)

3 ft x 4 sides = 12 ft.

Perimeter = 12 ft.

Answer:

24 x 40% = 9.6

Step-by-step explanation:

the answer is Lil Debbie™ 9.6 cup used.

Answer:

I did this question for my little brother. and the answer is A. I think.

Answer:

LJ< JK<LK

Step-by-step explanation:

for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)

Answer:

Mean = 8

Variance = 22

Standard deviation = 4.6904

Step-by-step explanation:

To find out Mean the formula is : total sum of data set / number of values

(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8

Mean = 8

Now for variance we will form a table

x                  11     11     3      1      11      11

(x - Mean)    3     3    -5     -7      3      3  

(x - Mean)²   9     9    25    49    9      9

Now we the formula of variance =

Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22

Variance = 22

Now we know Standard deviation = √(variance)

Therefore standard deviation = √22 = 4.6904

Hope this helps!<3

Answer: Mean = 8

Step-by-step explanation:

Answer:

w = 22 in, h = 8 in.

Step-by-step explanation:

Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.

Statement 1 is The width of a triangle is six more than twice the height.

The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).

Equation 1: w = 6 + 2h

Statement 2 is The area of the triangle is 88 in2.

The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.

Equation 2: wh/2 = 88

We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving!  So, we can now move to solving.

Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.

[tex]\frac{wh}{2} = 88[/tex]

[tex]\frac{(6 + 2h)h}{2} = 88[/tex]

[tex]\frac{6h + 2h^2}{2} = 88[/tex]

[tex]6h + 2h^2 = 176[/tex]

[tex]2h^2 + 6h - 176 = 0[/tex]

[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)

Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.

For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].

[tex]w = 6 + 2h[/tex]

[tex]w = 6 + 2(8)[/tex]

[tex]w = 6 + 16[/tex]

[tex]w = 22[/tex]

So, the answer is w = 22 in, h = 8 in.

To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.

[tex]\frac{wh}{2} = 88[/tex]

[tex]\frac{22 * 8}{2} = 88[/tex]

[tex]11 * 8 = 88[/tex]

[tex]88 = 88[/tex]

The solution checks out!

Hello, hope you are having a splendiferous day.

Here are the numbers you can make with these 4 digits:

2596

6952

2965

5629

And so on.

However, the largest number we can make using these digits is

9652

Hope it helps. Glad to help.

Ask me if you have any queries.

Carry On Learning

~An emotional teen who helps others with joy

Good luck.

Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

-5/3 + 2 1/3 =

= 2 1/3 - 5/3

= 2 1/3 - 1 2/3

= 1 4/3 - 1 2/3

= 2/3

Answer:

2/3

Step-by-step explanation:

First, change 2 1/3 into an improper fraction.

2 1/3 --> 7/3

Substitute that value back into the equation

-5/3 + 7/3

At this point, you can rewrite the equation into:

7/3 - 5/3

Since they have the same denominator, just subtract the numerator's values.

2/3

Answer:

maybe 3xz + 4yz + 4x + 2y

Step-by-step explanation:

I tried my best!

Using the binomial distribution, it is found that there is a:

a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.

b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.

For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, the sample has 100 units, hence [tex]n = 100[/tex].

Item a:

3% of the pieces are defective, hence [tex]p = 0.03[/tex].

The probability is:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]

[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]

[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]

[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]

Then:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]

0.3526 = 35.26% probability of rejecting a lot that is 3% defective.

Item b:

4% of the pieces are defective, hence [tex]p = 0.04[/tex].

Lot is accepted if less than 4 units are defective, hence:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]

[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]

[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]

[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]

Then:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]

0.4295 = 42.95% probability of accepting a lot that is 4% defective.

A similar problem is given at https://brainly.com/question/24863377

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

Answer:

  -9

Step-by-step explanation:

  2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)

  2.6×10^-2 = 2.6×10^(7-n)

The mantissas are equal, so we can equate the exponents:

  -2 = 7 -n

  n = 7 +2 = 9 . . . . . . add n+2

The value of n in the equation is 9.

Answer:

refer to the attachment

hope it helps.......

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

[tex]\longrightarrow[/tex] y = mx + c

On putting the respective values ,

[tex]\longrightarrow[/tex] y = 7(x) + (-7)

[tex]\longrightarrow[/tex] y = 7x - 7

For the graph see attachment .

x=1 becuase when 1x is it

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

Answer:

proportion of ratio will be used

Answer:

C. 1 4/10 + 9/10 + 6/10

got it right

Answer

f= 1

step by step explanation

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

Answer:

The answer is 10!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi sorry if I’m bugging just trying to help out by getting Them B bye

Answer:

Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1

Part B: Option A:  $9 

Part C: Option B:  $1,771.47

Part D: The eighth bushel picked is when the exponential function exceeds the linear function.

Step-by-step explanation:

Part A: Write a function to model each option.

Option A:  f(x) = 1.50x, where x is the number of bushels of apples picked

Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.

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

Part B: If Rachel picks six bushels of apples, which option should she choose?  

Option A:  $9    Option B:  $2.43   

Option A is better since what the number is would be higher.

1.50x6 = 9. If I were to do the same for option b, option a would end up higher.

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

Part C: If Rachel picks twelve bushels of apples, which option should she choose?  

Option A:  $18 Option B:  $1,771.47

After calculating both of them by multiplying by 12 for each, option B ends up to be much better.

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

Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?

The eighth bushel picked is when the exponential function exceeds the linear function.

Answer:

D or answer choice 4

Step-by-step explanation:

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

Learn more here:

https://brainly.com/question/18910091

Answer: True

Step-by-step explanation: