Find the total surface area of this triangular prism.
18 cm
30 cm
24 cm
7 cm

The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.99968.

Given the true proportion is 0.07, sample size 289.

We have to calculate the probability that the sample proportion will differ from the population proportion by more than 0.03.

Probability is the likeliness or chance of happening an event among all the events possible. The probability lies between 0 and 1.

Probability=number of items/ total items.

True proportion=0.07

n=289

sample population mean=0.07

Sample proportion standard error=[tex]\sqrt{pq/n}[/tex]

=[tex]\sqrt{0.07*0.93)/289}[/tex]

=[tex]\sqrt{0.0651/289}[/tex]

=[tex]\sqrt{0.00022}[/tex]

=0.015

Probability that the sample proportion will differ from the population proportion by more than 0.03=P(I P-p I>0.03)

=P( I Z I>0.03*0.015)

=P ( I z I >0.0045)

=0.99968.

Hence the probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.99968.

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Answer:

Looks like an obtuse scalene triangle

Step-by-step explanation:

The angle of the top vertex looks to be obtuse. It if was acute isosceles it would have 2 equal sides. If it was a right triangle it would have a right angle (which it doesn't). It was obtuse isosceles it would have equal sides. So it should be A: Obtuse Scalene Triangle

The amount of money that Davis has in this scenario is; $50

Let the amount of money he has be $X.

Now, if he buys 10 notebooks, he will have $10 left. Thus;

X - 10n = 10  -----(1)

If he buys 15 notebooks, he will be $10 short. Thus;

X - 15n = -10   ------(2)

Subtract eq 1 from eq 2 to get;

-5n = -20

n = -20/-5

n = 4

Thus;

X - 10(4) = 10

X = 10 + 40

n = $50

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The answers to the questions are:

a. the straight-line method of depreciation

[tex]\frac{cost of machine - salvage}{useful life} * period[/tex]

= (240000 - 60000) / 4 * (9 / 12)

= $33,750

The debit is 33750 as well as the credit

b.  the units-of-production method of depreciation

(240000 - 60000) / 60000 * 12000

= $36000

c. the double-declining balance method of depreciation

(24000 *2 /4) * (9/12)

= $90000

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The fill up for the missing steps are:

Note that we are given:

Based on the definition of perpendicular lines, ΔFHG ~ ΔKJG  are known to be right angles.

So: Δ FHG ≅  ΔKJG due to the fact that all the right angles are congruent.

ΔFHG  and  ΔKGJ are vertical angles and as such, the angle are congruent to angle  ΔKGJ

Based on AA similarity theorem, ΔFHG ~ ΔKJG

Due to the above, the fill up for the missing steps are:

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The geometrical relationships between the straight lines AB and CD is that they are parallel to each other

It is important to note the following;

We  find the equation of AB by subtracting OB from OA, thus AB = (c - a)x + (d - b)y

The slope of line AB =

⇒ OA= 2 x + 9 y

⇒ OA = 4 x + 8 y

⇒AB = OB - OA

⇒AB = (4 x + 8 y) - (2 x + 9 y)

⇒ AB = 4 x + 8 y - 2 x - 9 y

Collect like terms

⇒ AB = (4 x - 2 x) + (8 y - 9 y)

⇒AB = 2 x + -y

⇒ AB = 2 x - y

⇒ Coefficient of x = 2

⇒ Coefficient of y = -1

⇒ The slope of ab = [tex]\frac{-2}{-1}[/tex] = 2

For CD

⇒ CD = 4 x - 2 y

⇒Coefficient of x = -4

⇒ Coefficient of y = -2

⇒The slope of cd = [tex]\frac{-4}{-2}[/tex] = 2

Note that Parallel lines have same slopes

And Slope of ab = slope of cd

AB // CD

Therefore, the geometrical relationships between the straight lines AB and CD is that they are parallel to each other

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Let [tex]a[/tex] be the first term in the series and [tex]r[/tex] the common ratio. Then the infinite series converges to

[tex]a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}[/tex]

Removing the first three terms from the left side effectively multiplies the right side by 27, so

[tex]ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}[/tex]

By elimination,

[tex]a + ar + ar^2 = -\dfrac{26a}{1-r}[/tex]

Solve for [tex]r[/tex]. We can eliminate [tex]a[/tex] so that

[tex]1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}[/tex]

Answer:

232.28°

Step-by-step explanation:

Using N = 0 degrees

Arctan ( 12.8 / 9.9)   = 52.28    degrees   ( this A to C )

   C to  A  would be  232.28  °    ( just add 180 degrees)

Answer:

16.2

pls give brainlest

explanation:

lets use pythagorean theorem

12.8^2+9.9^2

which is 163.84+98.01=261.85

261.85 square root = 16.181177

round 16.18=16.2

answer 16.2

Answer:

It's 50 degrees and it is acute

Step-by-step explanation:

hope it helps

sorry if I'm wrong

Answer:

  100 m²

Step-by-step explanation:

The scale factor for volume of similar figures is the cube of the scale factor for linear dimensions. The scale factor for area is the square of that linear dimension scale factor.

If the ratio of volumes is the cube of the scale factor, then the scale factor for the smaller figure in terms of the larger is ...

  [tex]k=\sqrt[3]{\dfrac{125\text{ m}^3}{729\text{ m}^3}}=\sqrt[3]{\dfrac{5^3}{9^3}}=\dfrac{5}{9}[/tex]

The area of the smaller figure is found from ...

  [tex]\dfrac{A}{324\text{ m}^2}=\left(\dfrac{5}{9}\right)^2=\dfrac{25}{81}\\\\A=(324\text{ m}^2)\cdot\dfrac{25}{81}=\boxed{100\text{ m}^2}[/tex]

The surface area of the smaller solid is 100 square meters.

__

Additional comment

The least surface area for a given volume is that of a sphere. The larger volume given corresponds to a sphere with a radius of about 5.583 meters. Such a sphere will have an area of about 391.7 square meters. There is no known physical object with a volume of 729 m³ that can have a surface area as little as 324 m².

The pair of the reciprocal function will be (7, 5) and (11, 9). Then the correct option is A.

Coordinate geometry is the study of geometry using the points in space.

If a linear function contains the pairs (5, 7) and (9, 11).

If the pairs should have the reciprocal function to this one. Then the coordinate gets swapped.

The pair of the reciprocal function will be (7, 5) and (11, 9).

Then the correct option is A.

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40 gallons of liquid b weighs the same as 30 gallons of liquid a.

A substance's density is defined as its mass per unit volume (more specifically, the volumetric mass density; also known as specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Density is mathematically defined as mass divided by volume.

where m is the mass, V is the volume and D is the density, which is sometimes roughly characterized as weight per unit volume, while this is incorrect scientifically; this quantity is more precisely known as specific weight.

For liquid a,

8= mass/30

For liquid b,

6=mass/volume

For the two masses to be equal,

240=6*volume

volume=240/6

volume=40

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[tex]P \: \div \: 7 \: = \: 14[/tex]

[tex] \frac{1}{7} P \: = \: 14[/tex]

[tex] \boxed{ \bold{P \: = \: 98}}[/tex]

Answer:

Here you go!

sorry for my writing -_-

Any confusion, you may ask me.

Answer:

F. 23

Step-by-step explanation:

15/2 = 7.5

7.5 dozen eggs per 100 customers

15 + 7.5 = 22.5 which can be rounded to 23

= 23

The number of combinations of pins that can generated without using 19 in beginning are 3645 pins.

Given ten numbers from 0 to 9 and we are require to generate pins such that 19 will not come in beginning.

Total numbers=10

Combinations are the arrangement of numbers, variables, alphabets, etc. to form another numbers or word. In this problem we have to use combinations because there will be many combinations made from 10 numbers to form a 4 digit pin.

[tex]C=n!/r!(n-r)![/tex]

Combination: When 19 is not in beginning, we have to use 2 numbers in the beginning other than 19 so we can use all 9 numbers on thousandths place other than 1 and all the 9 numbers on hundredth place other than 9 and rest 2 places can be filled with any number from all 10 numbers so the combinations will be [tex]9 C_{1}*9C_{1}* 10C_{2}[/tex]=9*9*45=3645 pins.

Hence we can make 3645 pins of ATM from 10 numbers not starting with 19.

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The probability is P(X >= 2).

200 random people, n = 200

Let us consider the Binomial expression

i.e.,

P(X = r) = nCr*p^r*q^(n-r)

Here we have to assume that the 3 initials are equally likely events.

i.e.,

p = 1/3

q = 1 - 1/3

= 2/3

Required probability = P(X >= 2)

= 1 - [P(X = 0) + P(X = 1)]

= 1 - [200C0*(1/3)^0*(2/3)^200 + 200C1*(1/3)^1*(2/3)^199]

= 1 - [1*1*(2/3)^200 + 200*(1/3)*(2/3)^199]

= 1 - [(2/3)^200 + 200*(1/3)*(2/3)^199]

= 1 - (2/3)^200 - 200*(1/3)*(2/3)^199

Probability is truly how possibly something is to happen. every time we're unsure about the final results of an event, we will talk about the possibilities of certain consequences and how probably they are. The evaluation of events ruled by means of possibility is called records.

3 styles of probability

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The option  that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO

Note that:

If ∆MNO  can be gotten  from ∆ABC  then ∆MNO ≅ ∆ABC  

To solve for Reflection (x axis), it will be:

The coordinate note for the reflection is (x, y) will be: (x,-y)

Since ∆MNO  M(-9, -4), N(-3, -4), and O(-3, -15).

Then the reflections will be:

M(-9, -4)- M1(-9,4)

N(-3, -4)- N1(-3,4)

O(-3,-15)-O1(-3,15)

To solve for Reflection (y axis), it will be:    

The coordinate note for the Reflection  is (x,y) will be (-x,y)

Since ∆M1N1O1  = M1(-9, 4), N1(-3, 4), and O1(-3, 15).

Then M1(-9, -4) - M2(9,4)

N1(-3, -4) - N2(3,4)

O1(-3,-15)- O2(3,15)

To solve for Translation

The coordinate note for the Translation is (x,y) will be (x+2,y+2)

Since ∆M2N2O2  = M2(9,4), N2(3,4), and O2(3, 15).

Then M2(9, 4) - M3(11,6)=A

N2(3,4) -  N3(5,6)=B

O2(3,15) - O3(5,17)=C

Hence  ∆MNO ≅ ∆ABC  

To know the congruent by a single rotation.

 If ∆JKL  can be gotten from ∆PQR

Then ∆JKL ≅ ∆PQR  

For Rotation of 90 degree in an anticlockwise position, then:

The coordinate note for the Rotation is (x,y) will be (-y, x)

So, ∆JKL  = J(17, -2), K(12, -2), and L(12, 7).

J(17, -2)-  J1(2,17)

K(12, -2) - K1(2,12)

L(12,7) - L1(-7,12)

To solve for translation

The coordinate note for the translation is (x,y) will be (x+10,y-14)

Then ∆J1K1L1 =  J1(2, 17), K1(2, 12), and L1(-7, 12).

Hence J1(2, 17) - J2(12,3) = P

K1(2, 12)- K2(12,-2) = Q

L1(-7, 12)- L2(3,-2) = R

So, ∆JKL ≅ ∆PQR.

So therefore, The option  that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO

See options below

___ can be shown to be congruent by a sequence of reflections and translations.

1)Pick one to go with the sentence.

a Triangle ABC and Triangle XYZ

b Triangle ABC and Triangle MNO

c Triangle JKL and Triangle ABC

d Triangle PQR and Triangle XYZ

___ can be shown to be congruent by a single rotation.

Pick one to go with the sentence.

a Triangle ABC and Triangle XYZ

b Triangle PQR and Triangle XYZ

c Triangle JKL and Triangle PQR

d Triangle JKL and Triangle XYZ

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The simplified expression of (-2)⋅n⋅(8)⋅n⋅(-n) is 16n^3

The expression is given as:

(-2)⋅n⋅(8)⋅n⋅(-n)

Express as products

(-2) * n * (8) * n * (-n)

Multiply -2 and 8

-16 * n * n * (-n)

Multiply the three n's

-16 * -n^3

Evaluate the product

16n^3

Hence, the simplified expression of (-2)⋅n⋅(8)⋅n⋅(-n) is 16n^3

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The value of latoken in 2027 is $4731.

Given that in 2025 digital wallet users at $19900 and in 2027 latoken international clients will be $1000 and the number of monthly paying clients will grow from 30,000 at a 10% monthly rate till 2027 and 0 afterward.

The time esteem of cash states that a sum of cash is esteemed more presently than it'll be within the future. This is often due to the fact that cash can as it was extended by means of speculation. Speculation that's put off could be a missed opportunity. The time esteem of cash equation takes into consideration the amount of cash, its future esteem, the sum it can create, and the time period. The number of compounding periods is additionally a key variable for investment funds accounts.

By 2025=19900

By 2027 =1000 for client

Monthly pay =30000 each month

Rate=10%

At the end  the value is computed below:

AED=30000(1+0.1)¹²

AED=30000(1.1)¹²

AED=30000×3.138

AED=94140

To find the value computation is done below:

19900x=1000×v×AED

x=(94140×1000×140)/19900

x=4.731×1000

x=4731

Hence, the value of latoken in 2027 when digital wallet user at $19,900 by 2025 and latoken international client will be $1000 in 2027 is $4731.

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The entrance fee at museum C is modeled by a proportional relationship with the number of visitors.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, the prices for three museums are given, but only one of them has a constant rate of which, which is Museum C, as:

k = 4/3 = 16/12 = 24/18 = 1.33.

Hence the relation for the entrance fee is:

y = 1.33x.

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SOLUTION :-

Since, the pair of angles are supplementary

a + b = 180°

50° + b = 180°

b = 180° - 50°

→ b = 130°

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Answer:

130°

Step-by-step explanation:

supplementary angles are two angles that add up to 180°

(they form a straight line)

So, because we know that ∠b and 50° are supplementary, they must add up to 180:

b + 50 = 180

   - 50     -50             (subtract 50 from both sides to isolate b)

  b    =   130

So, ∠b [angle b] = 130°

hope this helps! have a lovely day :)

Answer:

  about 94.41°

Step-by-step explanation:

The Law of Cosines can be used to find an angle in a triangle with three sides given.

The law of cosines relation generally relates the side opposite the angle to the other measures in the triangle:

  r² = p² +q² -2pq·cos(R)

We want to find the measure of angle R, so we solve the equation for that:

  2pq·cos(R) = p² +q² -r² . . . . . . add 2pq·cos(R)-r²

  cos(R) = (p² +q² -r²)/(2pq) . . . . divide by the coefficient of the cosine

We can fill in the given side lengths at this point:

  cos(R) = (13² +10² -17²)/(2·13·10) = -20/260 = -1/13

Then the angle can be found using the arccos function:

  R = arccos(-1/13) ≈ 94.41°

The measure of angle R is about 94.41°.

__

Additional comment

When you have done a few of these, you recognize that the angle opposite side 'c' is ...

  C = arccos((a² +b² -c²)/(2ab))

A calculator can make short work of this. The second attachment shows the evaluation of this expression with a=10, b=13, c=17. The calculator angle mode is set to degrees. The arccos function is the 2ND function of the Cos key.

83 boxes are required to carry 800 books.

According to the question:

One Box can hold weight = 30 pounds

We know that ,  1 pound= 0.45 kg

hence, 30 pounds = 30 x 0.45 = 13.5kg  

hence,  one box can carry 13.5 kg of weight.

Now,

Weight of 1 book = 1.4 kg

So, Total Weight of 800 books= 1.4 x 800 kg

And , No. of boxes required to carry 800 books = (1.4 x 800)/13.5 = 82.96

                                                                             or approximately 83 boxes

Hence, 83 boxes are required to carry 800 books.

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Answer:

7/20

Step-by-step explanation:

15/25 * 14/24 = 210/600 = 21/60 = 7/20

The constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Expression 1: [tex]-0.5(3x+5)[/tex]

Using the distributive property to expand the first expression, we get

[tex]-0.5(3x+5) = -1.5x-2.5\\[/tex]

Expression 2: [tex]-1.5x + 2.5[/tex]

Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.

Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Q. Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

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Answer:Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Step-by-step explanation: sample explanation

There are 6720 ways by 8 distinguishable books be placed in 5 shelves.

According to statement

The number of books (n) is 8

The number of shelves (r) is 5

Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves

From Permutation formula

P(n,r) = n! / (n-r)!

Substitute the values then

P(n,r) = 8! / (8-5)!

P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)

P(n,r) = 8*7*6*5*4

P(n,r) = 6720

So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.

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Answer:

(9,21)

Step-by-step explanation:

If you plug in all the pairs, the only one that is true is (9,21).

y=x+12

21=9+12

The above equation is true, and that is why (9,21) is the answer.

Hope this helped! :)

Answer:

12

Step-by-step explanation:

the number of the available cases is :

3 × 4 = 12

The value of y is increasing for x values in Graph C, the correct option is C.

A Linear Graph is the graphical representation of a Straight line equation.

From the graph attached with the answer, The x-y values for all the graphs are observed to determine the graph in which the y value goes up as the x value increases.

For the x value increasing, the value of y is decreasing in Graph A, B, and D.

The y value is rising only for Graph C.

Therefore, the correct option is C.

The complete question is attached with the answer.

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