Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?O The theoretical probability for selecting a red card in each pick is 0.5. O For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far. O This is an example of the law of large numbers. O The relative frequency of selecting a red card changes with the increase in number of selections.

well, in 2007 it was 12000, so initially that's what it was, and in 2019 it went to 23000, so that's 12 years later, and in 2040, that'll be 33 years later.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 23000\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12\\ \end{cases} \\\\\\ 23000 = 12000(1 + \frac{r}{100})^{12}\implies \cfrac{23000}{12000} =\left(1+ \cfrac{r}{100} \right)^{12} \\\\\\ \cfrac{23}{12}=\left(\cfrac{100+r}{100} \right)^{12}\implies \sqrt[12]{\cfrac{23}{12}}=\cfrac{100+r}{100}[/tex]

[tex]100\sqrt[12]{\cfrac{23}{12}}=100+r\implies 100\sqrt[12]{\cfrac{23}{12}}-100=r\implies \boxed{5.57\approx r} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to 5.57\%\to \frac{5.57}{100}\dotfill &0.0557\\ t=years\dotfill &\stackrel{year~2040 }{33}\\ \end{cases} \\\\\\ A \approx 12000(1 + 0.0557)^{33} \implies \boxed{A \approx 71782}[/tex]

Answer:

It has a Unique solution.

Step-by-step explanation:

The equations are:

y=-2x+1 and y=3x-1

subtracting equation 2 from equation 3

we get,

⇒-5x+2=0

⇒5x=2

⇒x=2/5

substitute x in equation 1, then we get

⇒y=-4/5+1

⇒y=1/5

Hence the equations have a Unique solution.

The equations that explains the process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left, using the addition of fractions are;

(3/8) + (2/8) = 5/8 square yards of fabric will be used

1 - 5/8 = 3/8 square yard of fabric will be left

A fraction is a representation of a part of a whole, consisting of a number in the numerator divided by another number in the denominator expressed as a quotient.

The amount of fabric Diana has = 1 square yard

Amount of fabric to make one pillow = 3/8 square yard

Amount of fabric required to make the other pillow = 2/8 square yard

Therefore, the amount of fabric Diana will use can be found by adding the fractions of the areas of the fabric she uses for each pillow as follows;

The number of square yard of fabric Diana will have left can be found from the difference between the initial number of square yards of fabric Diana has and the amount of square yards of fabric she will use.

Initial number of square yards of fabric = 1

Number of square yards of fabric she will use = 5/8

Therefore;

Number of square yard of fabric Diana has left = (Initial number of square yards of fabric) - (Number of square yards of fabric she will use)

Number of square yard of fabric Diana has left = 1 - 5/8 = (8 - 5)/8 = 3/8

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Answer:

Step-by-step explanation:

The formula for calculating the future value of a continuously compounded investment is:

FV = PV * e^(rt)

where PV is the present value, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.718.

Plugging in the given values, we get:

FV = 5100 * e^(0.08 * 13) = 5100 * e^1.04 = 5100 * 2.856116786 = 14536.86

So, the future value of the investment after 13 years at an 8% interest rate compounded continuously would be approximately $14,536.86. Rounded to 2 decimal places, this is $14,536.86.

Answer:

m∠2=12°

Step-by-step explanation:

some of two angles is 90

90 -78=12

The mean of the data is given by the equation M = 679.3846 and the standard deviation σ = 34.1535

The standard deviation refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Standard Deviation is calculated by

Each number's deviation from the mean must be determined, and then squared.

Next, add up all of these values.

Divide the result by the quantity of numbers.

Then calculate its square root.

σ = √ ( 1/N ) ( ∑₁ⁿ ( x₁ - μ )²

Given data ,

Let the data be represented as Set A

Now , the value of set A is

Set A = { 688 , 711 , 625 ,701 , 688 , 667 , 694, 630, 547, 703, 688, 697, 703, 656, 677, 700, 702, 688, 691, 664, 688, 679, 708, 699, 667, 703 }

The mean of the sample data = Sum of all the values / number of values

The mean M = 17664 / 26

The mean M = 679.3846

Now , the standard deviation is calculated by

σ = √ ( 1/N ) ( ∑₁ⁿ ( x₁ - μ )²

Substituting the values in the equation , we get

The standard deviation σ = √ ( 30328.153846154 / 26 )

The standard deviation σ = √ ( 1166.4674556213 )

The standard deviation σ = 34.1535

Hence , the standard deviation is 34.1535

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Answer:

Yes

Step-by-step explanation:

To find this out. If you divide the denominators by each other, they would need to be the same value as if you divide the numerators by each other

[tex]45 \div 9 = 5[/tex]

^ 45 and 9 were the denominators, we divide and get 5

Now for the numerators

[tex]10 \div 2 = 5[/tex]

^ 10 and 2 we're the numerators, dividing also gave 5

Answer:

yes.

Step-by-step explanation:

let us check. to be a proportion they must be equivalent

however, what do we multiply to get there? let us check..

[tex]\frac{2x}{9x} =\frac{10}{45}[/tex]

cross multiply...

2x * 45 = 9x * 10

90x = 90x

yes, they will be proportional!

you can even do it without the X, i just put x in to make it clearer.

Answer:

Choice B is the closest

Step-by-step explanation:

A-lateral = 2πrh

r = D/2 = 16.5/2 = 8.25

h = 14

A = 2π(8.25)(14) = 725.7 in²

Answer:

c

Step-by-step explanation:

trust me

The domain of f  * g is the set of all real numbers x such that x ≤ 6.

In interval notation, we can write:

Domain of f * g = (-∞, 6].

What is the domain of the function?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The domain of the function f(x) = √(6-x) is the set of all real numbers x such that 6-x ≥ 0, which is x ≤ 6.

The domain of the function g(x) = x² - x is the set of all real numbers x, since there are no restrictions on the input.

To find the domain of the function f * g, we need to consider the values of x for which the expression f(x) * g(x) is defined.

We have:

f(x)g(x) = √(6-x)(x² - x)

The expression is defined only if both factors are defined.

For the first factor, √(6-x) to be defined, we need 6-x ≥ 0. This means that x ≤ 6.

For the second factor, x² - x to be defined, there are no restrictions on the input.

Therefore, the domain of f * g is the set of all real numbers x such that x ≤ 6.

In interval notation, we can write:

Domain of f * g = (-∞, 6].

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Answer:

Step-by-step explanation:

You want to order the accounts greatest to least by their value after 10 years.

The value of each account can be found using the compound interest formula:

  A = P(1 +r/n)^(nt)

Principal P earning rate r compounded n times per year for t years.

For the three accounts, the corresponding values are ...

The order, greatest to least, according to the account values is ...

__

Additional comment

The $700 account will overtake the $950 account after 11 years. It will take about 46 years for it to overtake the $800 account. Eventually, the higher interest rate with greater frequency of compounding wins out.

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Answer:

{40.7,49.3}

Step-by-step explanation:

[tex]\displaystyle CI=\bar{x}\pm z\frac{s}{\sqrt{n}}\\\\CI_{80\%}=45\pm1.282\biggr(\frac{19}{\sqrt{32}}\biggr)\\ \\CI_{80\%}\approx45\pm 4.3\\\\CI_{80\%}=\{40.7,49.3\}[/tex]

Thus, we are 80% confident that the true sample mean amount spent is between $40.70 and $49.30

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the following formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the points (-11, 12) and (5, 4), we get:

m = (4 - 12) / (5 - (-11)) = -8 / 16 = -1/2

So the slope of the line passing through (-11, 12) and (5, 4) is -1/2.

Answer:

Step-by-step explanation:

Answer:

The number is -10.4

Explanation:

Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

Let's take this step by step:

half the number is 0.5x

the sum of half the number and 6 is 0.5x + 6

10 times the sum of half the number and 6 is 10(0.5x +6)

10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now we can solve for x as follows:

10(0.5x + 6) = 8

5x + 60 = 8

5x = 8 - 60

5x = -52

x = -52/5

x = -10.4

Hope this helps :)

Answer:

$2,000

Step-by-step explanation:

Interest = Principal x Rate x Time

840 = .06(7)p

840 = 0.42p

p = 2000

Answer:

b

Step-by-step explanation:

Can't see the whole transaction because it is cutoff on the bottom but it looks like   b

The solution is Option D.

The difference in shopping from store and online is given by the equation D = $ 0.46

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 cost of shopping in physical store be A

Let the total cost of shopping online be B

Now , the equations will be

The number of batteries = 2

The number of stereo = 1

The number of CDs = 3

The cost of buying 2 packs of batteries from store = 2 x ( 5.99 ) = $ 11.98

The cost of buying 1 stereo from store = 1 x ( 100 ) = $ 100.00

The cost of buying 3 CDs from store = 3 x ( 7.95 ) = $ 23.85

The total purchase cost without discount and sales tax = $ 135.83

The cost with 10 % discount = $ 122.247

The cost after 5 % sales tax = $ 128.35935

So , the total cost of shopping in store A = $ 128.35935

And ,

The cost of buying 2 packs of batteries online = 2 x ( 4.99 ) = $ 9.98

The cost of buying 1 stereo from online = 1 x ( 90 ) = $ 90.00

The cost of buying 3 CDs from online = 3 x ( 8.95 ) = $ 26.85

The total purchase cost without discount and sales tax = $ 126.83

The cost with $ 5 discount = $ 121.83

The shipping cost in online store = $ 121.83 + $ 6.99 =

So , the total cost of shopping in online store A = $ 128.82

Now , the difference in shopping from store and online is

D = $ 128.82 - $ 128.35935

On simplifying the equation , we get

D = $ 0.46

Hence , the equation is D = $ 0.46

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Answer: b

Step-by-step explanation:  ias  chinadu  

B because that's the VA which would be intellectually specialist.

The needed amount of each solution is given as follows:

The amounts are obtained using a system of equations, for which the variables are given as follows:

Faith needs 300 milliliters of the solution, hence:

x + y = 300.

x = 300 - y.

The percentage is of 57%, hence:

0.5x + 0.6y = 0.57 x 300

0.5x + 0.6y = 171.

Replacing the first equation into the second, the value of y is obtained as follows:

0.5(300 - y) + 0.6y = 171

0.1y = 21

y = 21/0.1

y = 210.

The value of x is then given as follows:

x = 300 - 210

x = 90.

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The midpoint and length of the sides of the triangle can be presented  follows

22 Part A

Midpoint of [tex]\overline{AB}[/tex] = (3, 5)

Midpoint of [tex]\overline{BC}[/tex] = (6, 4)

23 Part B

Length of [tex]\overline{AC}[/tex] is 2·√(10)

Slope of [tex]\overline{AC}[/tex] is -1/3

25 Part D

According to the midsegment theorem, Darlene is correct

The midpoint of a segment divides the segment into two same length segments.

22 Part A

The midpoint, ([tex]x_m[/tex], [tex]y_m[/tex]) between points (x₁, y₁), (x₂, y₂) of a segment can be found as follows;

[tex]x_m[/tex] = (x₁ + x₂)/2, [tex]y_m[/tex] = (y₁ + y₂)/2

The coordinates of the points in the triangle are; A(2, 2), B(4, 8), and C(8, 0)

23 Part B

The length of a segment with boundary points (x₁, y₁), (x₂, y₂) is the distance between the points (x₁, y₁), (x₂, y₂), which is found using the following distance formula for finding the distance, d, between points;

The length of the segment [tex]\overline{AC}[/tex] is the distance between the points A(2, 2), and C(8, 0), which is found as follows;

Where;

(x₁, y₁) = (2, 2) and (x₂, y₂) = (8, 0), we get;

Length of [tex]\overline{AC}[/tex] = √((8 - 2)² + (0 - 2)²) = √(6² + (-2)²) = √(40)

The slope of a line, m = (y₂ - y₁)/(x₂ - x₁)

25 Part D

The length of the line segment connecting the midpoint can be found using the distance formula as follows;

Therefore;

Length of the line segment connecting the midpoint = √((6 - 3)² + (4 - 5)²) = √(10)

The line segment connecting the midpoint is half the length of [tex]\overline{AC}[/tex], which is stated in the midsegment theorem

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Answer:

76°

Just know that angles on the parallel sides always add up to 180°

The value of length AC is,

⇒ AC = 31

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The lengths are,

AB = 12 and BC = 19

Now, If the points A, B and C are colinear.

Then, The value of length AC is,

⇒ AC = AB + BC

⇒ AC = 12 + 19

⇒ AC = 31

Thus, We get;

⇒ AC = 31

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Answer: number 2 is A

Step-by-step explanation:

When t is any real number, the true statements will be:

A. -t < 0:

B. -t = 0

E. (-t)^2 = -t^2

If t is any real number, then the following statements are true:

A. -t < 0: This statement is true if t > 0, and false if t <= 0.

B. -t = 0: This statement is true if t = 0, and false if t ≠ 0.

C. -t = t: This statement is false for all real numbers t, since the negative of any non-zero real number is not equal to the original number.

D. t|-t: This statement is false for all real numbers t, since the absolute value of any real number is non-negative.

E. (-t)^2 = -t^2: This statement is true for all real numbers t, since squaring a real number gives a non-negative result. Note that the negative sign in front of the square is distributive and can be moved inside the square.

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The estimated number of Time Warner Cable video subscribers in 2013 is approximately 14.8 million.

We are given that for the period 2009-2013, 7/10.3 is approximately the number of Time Warner Cable video subscribers for every Comcast video subscriber. We are also given that there were 21.7 million Comcast video subscribers in 2013.

To estimate the number of Time Warner Cable video subscribers in 2013, we can use the following proportion:

7/10.3 = x/21.7

where x is the number of Time Warner Cable video subscribers in 2013.

Solving for x, we get:

x = (7/10.3) x  21.7

x ≈ 14.8 million

Therefore, the estimated number of Time Warner Cable video subscribers in 2013 is approximately 14.8 million.

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Answer:

he division story will be that there are 16 boys who want to share 4 oranges. What fraction will each person get?

Number of boys = 16

Number of oranges = 4

Fraction that each person will get will be:

= Number of oranges / Number of boys

= 4/16

= 1/4

Each boy gets 1/4.

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 6n - 5

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

7 - 1 = 13 - 7 = 19 - 13 = 6

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 6 , then

[tex]a_{n}[/tex] = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5

The measure of angle the value of x =-96.

What is parallelogram?

A parallelogram is a special kind of quadrilateral composed of parallel lines. Any angle between the adjacent sides of a parallelogram is allowed as long as the opposite sides are parallel. A quadrilateral is a parallelogram if its two opposite sides are parallel and congruent. A parallelogram is a quadrilateral that has two pairs of opposite sides that are parallel and equal.

With the use of alternate interior angles, we can quickly resolve this. Right, the interior of a parallelogram is always 360 degrees.

(-x-6)° = 90

x = -96

Hence The measure of angle the value of x =-96.

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Answer:

(-8 + 35x) / 5x or -8 / 5x + 7 (same)

Step-by-step explanation:

(-32x^8 + 140x^9) / 20x^9 =

= -32x^8 / 20x^9 + 140x^9 / 20x^9 =

= -8 / 5x + 7 =

= (-8 + 7 * 5x) =

= (-8 + 35x) / 5x

The mean of the frequency distribution is 52 degrees. and option A is carrect  . A) The computed mean is close to the actual mean because the difference between the means is less than​ 5%

First, we calculate the class mid-points (x); This is the mean of the class intervals.

For 40 - 44, x = (40 + 44)/2 = 42. This is applied to all other classes.

40 −44 = 42

45 −49 = 47

50 −54 = 52

55 −59 =57

64 −64 = 62

So:

x  42    47     52       57     62

f    22    55    1212     77      11

mean = ∑f(x)/∑f

= (42*22+47*55+52*1212+57*77+62*11)/(22+55+1212+77+11)

= 71604/1377

=52

actual mean = 51.8

and now mean = 52

percentage difference = ((52-51.8)/51.8)*100

= 0.3861 percentage

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