Suppose a basketball player has made 223223 out of 406406 free throws. If the player makes the next 22 free throws, I will pay you $20$ 20. Otherwise you pay me $8$ 8. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

AB is not a tangent. The lengths 4, 12, and 13 do not form a right triangle.

√(4^2 + 12^2) = √160, which is not equal to 13.

Answer:

No

Step-by-step explanation:

if AB is a tangent the the angle BAC = 90°

using Pythagoras' theorem

then square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

BC² = 13² = 169

AB² + AC² = 12² + 4² = 144 + 16 = 160

since BC²≠ AB² + AC²

then Δ ABC is not a right triangle so AB is not a tangent

Answer:

\(1/x^5\)

Step-by-step explanation:

\(x^-^y = 1/x^y\)

Answer:

1/x^5

Step-by-step explanation:

When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5

Answer: 1/x^5

Answer:

Ahmad solution is not correct

h = 1

Step-by-step explanation:

5 + 20h +2h = 27

5+22h = 27

22h = 22

h = 1

\(\huge\text{Hey there!}\)

\(\large\textsf{5(1 + 4h) + 2h = 27}\\\large\textsf{5(1) + 5(4h) + 2h = 27}\\\large\textsf{5 + 20h + 2h = 27}\\\large\large\textsf{5 + 22h = 27}\\\large\textsf{22h + 5 = 27}\\\large\text{SUBTRACT 5 to BOTH SIDES}\\\large\textsf{22h + 5 - 5 = 27 - 5}\\\large\text{CANCEL out: 5 - 5 because that gives you 0}\\\large\text{KEEP: 27 - 5 because that helps us solve for the h-value.}\\\large\textsf{27 - 5 = \bf 22}\\\large\text{DIVIDE 22 to BOTH SIDES}\\\mathsf{\dfrac{22h}{22} = \dfrac{22}{22}}\)

\(\\\large\text{CANCEL out: }\rm{\dfrac{22}{22}}\large\text{ (the one on the LEFT) because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{22}{22}}\large\text{ (the one on the RIGHT) because it gives you the result of the h-value}\\\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR ANSWER OF H}\\\\\\\huge\boxed{\rm{Therefore, \ h = 1}}\huge\checkmark\)

\(\large\textsf{Therefore, Ahmad is incorrect with his steps because he didnt}\\\large\textsf{5 within the parentheses and didnt combine the like terms for the}\\\large\textsf{2}\mathsf{^{nd}}\large\textsf{ step. }\)

\(\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}\)

Answer:

A

Step-by-step explanation:

I took the quiz

Answer: 39 units

Step-by-step explanation:

I took the test

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

 (((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

 (((12 • (x4)) +  24x3) -  7x2) -  6x

STEP

3

:

Equation at the end of step

3

:

 (((22•3x4) +  24x3) -  7x2) -  6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  12x4 + 16x3 - 7x2 - 6x  =

 x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2    12x3 + 16x2 - 7x - 6  is not a perfect cube

Answer:

50,350

is answer

Answer:

Step-by-step explanation:

Speed = rate = slope

Find slopes:

Table:

(10, 70)

(20, 140)

Speed = 7 km/min

Graph:

(6, 90) , (4, 60)

Speed = (90 - 60) / (6 - 4) = 30/2 = 15 km/min. the greater cruising speed

Answer:

2(y+4)=4y

2y+8=4y

8=4y-2y

8÷2=y

4=y

Therefore y =4

We are given the formula y=x. The easiest way to graph the equation of a line is simply by giving some values of x and the joining all the points. Consider the following

X Y

-2 -2

-1 -1

0 0

1 1

2 2

3 3

If we graph this points and the join them with a line, we get

The difference between depths in January and July is 14 feets

The depth of a local river averages 16 ft., which is represented as |−16|.

In January,  The depth of a local river measured 4 ft. deep, or |−4|

in July, The depth of a local river  18 ft., or |−18|

The average depth of a local river  is measured as -16 because it is below the ground level and hence measured or plotted on -y axis

the difference between depths in January and July can be measured as

|−18| -  |−4|

This is absolute sign which means every number inside this sign should be treated as positive

18 - 4 = 14

Hence, the difference between depths in January and July is 14 feets

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As given representation:

as there is no solid circle on 4 so it is not included in inequality and it is from greater than 4 to infinity:

So:

Answer:

Step-by-step explanation: Refer to the photo taken.

Answer: 13/6 (5/2 - 13/6 = 1/3)

Step-by-step explanation:

Answer:

a) The rate of change associated with the volume of the box is 54 cubic meters per second, b) The rate of change associated with the surface area of the box is 18 square meters per second, c) The rate of change of the length of the diagonal is -1 meters per second.

Step-by-step explanation:

a) Given that box is a parallelepiped, the volume of the parallelepiped, measured in cubic meters, is represented by this formula:

\(V = w \cdot h \cdot l\)

Where:

\(w\) - Width, measured in meters.

\(h\) - Height, measured in meters.

\(l\) - Length, measured in meters.

The rate of change in the volume of the box, measured in cubic meters per second, is deducted by deriving the volume function in terms of time:

\(\dot V = h\cdot l \cdot \dot w + w\cdot l \cdot \dot h + w\cdot h \cdot \dot l\)

Where \(\dot w\), \(\dot h\) and \(\dot l\) are the rates of change related to the width, height and length, measured in meters per second.

Given that \(w = 6\,m\), \(h = 6\,m\), \(l = 3\,m\), \(\dot w =3\,\frac{m}{s}\), \(\dot h = -6\,\frac{m}{s}\) and \(\dot l = 3\,\frac{m}{s}\), the rate of change in the volume of the box is:

\(\dot V = (6\,m)\cdot (3\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot (3\,m)\cdot \left(-6\,\frac{m}{s} \right)+(6\,m)\cdot (6\,m)\cdot \left(3\,\frac{m}{s}\right)\)

\(\dot V = 54\,\frac{m^{3}}{s}\)

The rate of change associated with the volume of the box is 54 cubic meters per second.

b) The surface area of the parallelepiped, measured in square meters, is represented by this model:

\(A_{s} = 2\cdot (w\cdot l + l\cdot h + w\cdot h)\)

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time:

\(\dot A_{s} = 2\cdot (l+h)\cdot \dot w + 2\cdot (w+h)\cdot \dot l + 2\cdot (w+l)\cdot \dot h\)

Given that \(w = 6\,m\), \(h = 6\,m\), \(l = 3\,m\), \(\dot w =3\,\frac{m}{s}\), \(\dot h = -6\,\frac{m}{s}\) and \(\dot l = 3\,\frac{m}{s}\), the rate of change in the surface area of the box is:

\(\dot A_{s} = 2\cdot (6\,m + 3\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m+6\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m + 3\,m)\cdot \left(-6\,\frac{m}{s} \right)\)

\(\dot A_{s} = 18\,\frac{m^{2}}{s}\)

The rate of change associated with the surface area of the box is 18 square meters per second.

c) The length of the diagonal, measured in meters, is represented by the following Pythagorean identity:

\(r^{2} = w^{2}+h^{2}+l^{2}\)

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time before simplification:

\(2\cdot r \cdot \dot r = 2\cdot w \cdot \dot w + 2\cdot h \cdot \dot h + 2\cdot l \cdot \dot l\)

\(r\cdot \dot r = w\cdot \dot w + h\cdot \dot h + l\cdot \dot l\)

\(\dot r = \frac{w\cdot \dot w + h \cdot \dot h + l \cdot \dot l}{\sqrt{w^{2}+h^{2}+l^{2}}}\)

Given that \(w = 6\,m\), \(h = 6\,m\), \(l = 3\,m\), \(\dot w =3\,\frac{m}{s}\), \(\dot h = -6\,\frac{m}{s}\) and \(\dot l = 3\,\frac{m}{s}\), the rate of change in the length of the diagonal of the box is:

\(\dot r = \frac{(6\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot \left(-6\,\frac{m}{s} \right)+(3\,m)\cdot \left(3\,\frac{m}{s} \right)}{\sqrt{(6\,m)^{2}+(6\,m)^{2}+(3\,m)^{2}}}\)

\(\dot r = -1\,\frac{m}{s}\)

The rate of change of the length of the diagonal is -1 meters per second.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

9514 1404 393

Answer:

Step-by-step explanation:

For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.

For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.

Kite A has an area proportional to (30 in)(30 in) = 900 in².

Kite B has an area proportional to (20 in)(40 in) = 800 in².

Kite A has a larger area, so will use more paper.

__

Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.

Answer:

A. Kite A

Step-by-step explanation:

To determine which of the two kites will use need more paper to make, find the area of each kite.

Kite A:

Area = (d1*d2)/2

d1 = 30 in.

d2 = 30 in.

Area of kite A = (30*30)/2 = 450 in.²

Kite B:

Area = (d1*d2)/2

d1 = 20 in.

d2 = 40 in.

Area of kite B = (20*40)/2 = 400 in.²

✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).

So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.

Answer:

\(\boxed{\sf \ \ \ 11,464 \ \ \ }\)

Step-by-step explanation:

hello

we need to compute the following

\(\sum\limits^9_{i=0} {1000(1.03)^i}=1000\dfrac{1.03^{10}-1}{1.03-1}=11463.879...\)

hope this helps

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

the answer is B.

Step-by-step explanation:

2.78778777 is an irrational number because it has endless numbers, and a irrational number can't be put as a fraction like rational numbers can.

hope this helps! sorry if i am incorrect! best of luck!! <3

Step-by-step explanation:

203,433 rounded to the nearest ten thousand is 200,000.

Answer:

  y +1 = -5(x -4)

Step-by-step explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

The point-slope equation of a line has the form ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

  y -(-1) = -5(x -4) . . . . . . values substituted

  y +1 = -5(x -4) . . . . . . . simplified a bit

Answer:

B. The type II error in this context is when the agency concludes that the program does not increase the recycling rate, when in fact it does increase the rate. This consequence of this error is that the agency will not implement a program that could have increased the water bottle recycling rate.

Answer:

A

Step-by-step explanation:

A) EA and ST

By using a recurrence formula, the value of the recurrence formula for n = 4 is equal to - 1280.

In this exercise we shall make use of recursive formulas to determine the value of an element of a sequence, recursive formulas are expressions in which a current element of a series is function of at least one previous element of the sequence.

If we know that f(1) = 160 and f(n + 1) = - 2 · f(n), then the value of f(4) is:

n = 1

f(1) = 160

n = 2

f(2) = - 2 · f(1)

f(2) = - 2 · 160

f(2) = - 320

n = 3

f(3) = - 2 · f(2)

f(3) = - 2 · (- 320)

f(3) = 640

n = 4

f(4) = - 2 · f(3)

f(4) = - 2 · 640

f(4) = - 1280

By using a recurrence formula, the value of the recurrence formula for n = 4 is equal to - 1280.

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The solution is Option A.

Yes , The measure of angle 1 and angle 2 are same because they intercept the same arc of the circle

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

From the circle , the four angles are 1 , 2 , 3 , and 4

And , from the circle theorem

In a circle, the measures of the angles subtended by the same arc on the circumference of the circle are equal

So , from the circle , we can see that

∠1 and ∠2 are subtended by the same arc AB at points C and D respectively

And , the points C and D lies on the circumference of the circle

So , the measures of the angle must be equal

Hence , The angles ∠1 and ∠2 have equal measures because they intercept the same arc of the circle

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