If a new movie is selling for $20, and the local city charges 8% sales tax, how much tax will be charged? $_____

Answer:

1. Estimate the product.

2. Multiply to find the product. Multiply the decimals as if they were whole numbers. Ignore the decimal point.

3. Compare your estimate with your product to verify that your answer makes sense.

Answer:

95/4

Step-by-step explanation:

Given,

a/b =2/3

Therefore, 2a²+3b²/a²+b² = ?

We get,

a/b = 2/3

So, we can write

a = 2 and b = 3

Now,

2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]

= 2×4 + 3×9/4 + 9

= 8 +27/4 + 9

= (32+27+36)/4 [ Taking L.C.M, we get 4]

= 95/4

Answer:

  $9918.30

Step-by-step explanation:

The total tax is ...

  6.2% × $128,400 + 1.45% × $135,000 = $7960.80 +1957.50

  = $9,918.30

Answer:

probability of lasting longer = 1.7%

Step-by-step explanation:

We are given:

x' = 14 years

μ = 12.3 years

s = 0.8 years

Thus, let's use the formula for the Z-score value which is;

z = (x' - μ)/s

Thus;

z = (14 - 12.3)/0.8

z = 2.125

From the z-distribution table attached, the p-value is ;

P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%

Thus,probability of lasting longer = 1.7%

Answer:

0.0228

Step-by-step explanation:

Given that:

mean (μ) = 75, Standard deviation (σ) = 3.5

The z score is a score used in statistics to measure by how many standard deviations the raw score is above or below the mean. If the z score is positive, it means that the raw sore is above the mean and if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\For\ a\ sample \ n, the\ z\ score\ is:\\ \\z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

For x > 76 and a sample (n) = 49:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\z=\frac{76-75}{\frac{3.5}{\sqrt{49} } }=2[/tex]

From the normal distribution table, the probability that the average score of the 49 players exceeded 76 = P(x > 76) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228

Answer:

41

Step-by-step explanation:

step 1. first, you should plug in all the x's.  x² is 49, 2x is 14. The

equation would then be 49-14+6 which is 41

2x would be 2 x 7 because when 2 numbers are touching, they are to be multiplied.

x² would be 7 x 7 because, when you have a number to the power of 2, you multiply it by itself.

and finally you would get, 49-14+6 and according to PEMDAS, the eqaution hsould go left to right leaving us with the answer of 41.

i hope you understand this. :)

Answer:

41

Step-by-step explanation:

x²-2x+6

Let x = 7

7^2 -2*7 +6

49 -14 +6

41

Answer:

-18 if youre asking about simple subtraction

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

its like saying (-45)+27.

you have to add the 27 to 45 to get to 0 and them see how much you have left

Answer:

94

Step-by-step explanation:

sum of all angles in a triangle=180

total angle=3

sum of two angles=86

3rd angle=180-86=94

Answer:

Step-by-step explanation:

Hello, please consider the following.

First of all, we need to complete the squares, then move the constant to the right side, as below.

[tex]x^2+y^2+4x-10y-7=0\\\\(x+2)^2-4+(y-5)^2-25-7=0\\\\(x+2)^2+(y-5)^2=36=6^2[/tex]

And then, we can read the answers from the rearranged equation.

(a) The centre is then (-2,5)

(b) The radius is 6

Thank you.

Answer:

64,186,300

Step-by-step explanation:

Six-four million - 64 million.

One hundred eighty six thousand - 186,000

You won't have space for the zeros, so you remove them.

And last, three hundred - 300.

So, now combine all of the numbers.

Your answer is 64,180,300.

Hope it helps!

Answer:

5+2x

Step-by-step explanation:

Answer:

Let X= Additional Amount

Equation= 5+2x=17

                     -5       -5

                   __________

                     2x=12

                    _______

                     2     2

                      X=6 is the answer, Hope that helped ya.

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Both the numbers are negative so you add them together and keep the negative sign

Answer:

-8

Step-by-step explanation:

when negative and positive meet, the negative dominates the positive thereby making it negative.

-5 + (-3)

-5 - 3

-8

Answer:

1.9 gallons of 80% and 5.7 gallons of 20%

Step-by-step explanation:

x gallons of 80% alcohol solution is mixed with y gallons of 20% alcohol to make 7.6 gallons of 35% alcohol solution.

Based on the given, we get two equations:

Let's substitute y with y = 7.6 - x:

Then we find the value of y:

So the answer is:

Answer:

1.9 gallons of the 80% solution.

5.7 gallons of the 20% solution,

Step-by-step explanation:

Let the volumes of the 80% and 20 % solutions be x  and y gallons.

Then:

x  +  y = 7.6.

Also, using amounts of pure alcohol:

0.8x + 0.2y = 7.6 * 0.35

0.8x + 0.2y = 2.66           Multiplying this equation by -5:

-4x - y = - 13.3                   Adding this to the first equation:

-3x = -5.7

= 1.9 gallons.

y = 7.6 - 1.9

=  5.7  gallons.

Answer:

57,095,800 mi (= 5.71 x 10⁷ mi )

Step-by-step explanation:

given :

Distance from Mercury to Sun = 35,904,200 mi

Distance from Earth to Sun = 9.3x10⁷ = 93,000,000 mi

Distance between mercury and earth

= 93,000,000 - 35,904,200

= 57,095,800 mi

= 5.71 x 10⁷ mi (rounded to 3 sig. figures)

Answer:

The coordinate of point Q' is (3 , 4).

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

Answer:

for more appropriate it would be 0-2.5, and the max is 15

Step-by-step explanation:

The domain of a graph is the possible x-values of the graph, while the range is the possible y-values.

From the attached graph (see attachment), we have the following observations.

Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.

Hence, the proper domain of Noah's graph should be 0 to 2.5

And the maximum of the graph is at y = 15

Read more about domain and graphs at:

https://brainly.com/question/1982148

Answer:

125 cm

Step-by-step explanation:

Ratio of pieces of the rod:

In total, the rod is equal to:

Since the shortest peace:

Length of the rod:

Answer:

9333/10000

Step-by-step explanation:

To write .9333 as a fraction you have to write .9333 as the numerator and put 1 as the denominator. Then you multiply the numerator and the denominator by 10.

Answer:

Step-by-step explanation:

Given that:

[tex]x^2 + z^2 \leq 36[/tex]

if we assume that x is zero, then [tex]z^2 = 36[/tex] , [tex]z = \pm \sqrt{36}[/tex] [tex]z = \pm 6[/tex] i.e the radius of the circle goes from -6 to +6, Similarly, if we assume that z is zero, then [tex]x^2 = \pm 36[/tex] , [tex]x = \pm \sqrt{36}[/tex] , [tex]x = \pm 6[/tex] . This implies that [tex]x^2 + z^2[/tex] describes the circle with radius 6

[tex]x^2 + z^2 \leq 36[/tex] is an equation at region which consist of those points whose distance  from the centre is at least with radius -6 and at most 6.

Therefore, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.

Answer:

5,608

Step-by-step explanation:

The total monthly pay of Karen is given by the equation A = $ 5,608

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total monthly pay of Karen be = A

Now , the equation will be

Let the annual pay of Karen be B = $ 67.3 K

1 K = 1000

The value of B = 67.3 x 1000

The value of B = $ 67300

So , annual pay of Karen B = $ 67300

Now , the monthly pay of Karen = annual pay of Karen / 12

Substituting the values in the equation , we get

The monthly pay of Karen A = $ 67300 / 12

The monthly pay of Karen A = $ 5,608.33

Rounding to the nearest dollar , we get

The monthly pay of Karen A = $ 5,608

Therefore , the value of A is $ 5,608

Hence ,

The total monthly pay of Karen is given by the equation A = $ 5,608

To learn more about equations click :

https://brainly.com/question/19297665

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This question is incomplete, the complete question is;

A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24. Use the TI-84 calculator Part 1 of 2

Find the probability that x will be more than 89. Round the answer to at least four decimal places. The probability that will be more than 89 is Part 2 of 2 Find the 60 percentile of x. Round the answer to two decimal places. The 60 percentile is

.

Answer:

part 1) the probability that x will be more than 89 is 0.6517

part 2) the 60 percentile of x is 90.65

Step-by-step explanation:

Given that;

u = 90, α = 24, n = 86

Part 1 says Find the probability that x will be more than 89

p ( x > 89 ) = p (( x - u)/α√n > (89-90)/24/√86 ))

= p ( z > - 0.39 ) = 1 - p (z ≤ - 0.39  )

from z table, 0.39 → 0.3483

= 1 - 0.3483 = 0.6517

∴ the probability that x will be more than 89 is 0.6517

part 2 says  Find the 60 percentile of x

p( Z < z ) = 0.60

now from the z-table, p(Z < 0.25 ) = 0.60

and we that  x = u + z(α/√n)

x = 90 + 0.25( 24 / √ 86

x = 90.64699 ≈ 90.65

∴  the 60 percentile of x is 90.65

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = [tex]\sum Xi/N[/tex]

[tex]\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156[/tex]

b) The formula for calculating the deviation from the mean for each value is expressed as [tex]Xi - \overline X[/tex] where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations [tex]\sum Xi - \overline X[/tex] = (-9-2+0+5+6)

[tex]\sum Xi - \overline X[/tex] = -11+11

[tex]\sum Xi - \overline X[/tex] = 0

Hence the sum of deviation from the mean is 0

Answer:  195.5 or 12 7/32

Step-by-step explanation:

There is no letter tetha in the table so I use α instead. However it is not sence to final result.

The expression is:

(sinα+cosα)/(cosα*(1-cosα))

Lets divide the nominator and denominator by cosα

(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=

=(8/15+1)/(1-cosα)= 23/(15*(1-cosα))    (1)

As known cos²α=1-sin²α   (divide by cos²α both sides of equation)

cos²a/cos²α=1/cos²α-sin²α/cos²α

1=1/cos²α-tg²α

1/cos²α=1+tg²α

cos²α=1/(1+tg²α)

cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=

=+-sqrt(225/289)=+-15/17   (2)

Substitute in (1) cosα  by (2):

1st use cosα=15/17

1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5

2-nd use cosα=-15/17

2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32

Answer: z = 7 or z=-5

Step-by-step explanation:

First you need to factor the polynomial.

To factor [tex]z^{2}[/tex]  - 2z -35       You will need to find two numbers that their product is -35 and their sum is -2  and the numbers -7 and 5  works out.

Rewrite the polynomial as,

[tex]z^{2}[/tex] - 7z + 5z - 35  = 0   factor the left by grouping

([tex]z^{2}[/tex] -7z) (5z -35)  = 0

z(z -7)  5(z - 7) = 0      Factor out z-7

(z-7)(z+5) = 0        Now apply the zero product by setting each of them equal 0.

z-7= 0      or  z+5=0

 +7  +7             -5  -5

z = 7     or  z= -5  

Answer:

the answer is -4 I think

Answer:

−4

Step-by-step explanation:

(26 ÷ 13) ⋅ (−7) + 14 − 4 =

= 2 ⋅ (−7) + 14 − 4

= −14 + 14 − 4

= 0 − 4

= −4

Answer:

Image below

Step-by-step explanation:

Hey there!

Well lets graph the given inequality,

y < 3x + 1

Look at the image below.

So the right graph should look like the image below.

Hope this helps :)

Answer:-3 over 7

Step-by-step explanation:

rise over run

Step-by-step explanation:

P(green AND 4)

= P(green) × P(4)

= (4/8) × (1/5)

= 1/10

Using probabilities of independent events, it is found that there is a 0.1 = 10% probability that she draws a green ball and a tile numbered with 4.

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

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

The probability of both events is given by:

[tex]P(A \cap B) = P(A) \times P(B) = 0.5(0.2) = 0.1[/tex]

0.1 = 10% probability that she draws a green ball and a tile numbered with 4.

A similar problem is given at https://brainly.com/question/24174994