A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)

Answer:

Well then it would be blue every single time since there are 12 marbles in the bag and 12 are blue.

Step-by-step explanation:

There is really no other way to explain it lol

Have a nice day!

A marble is chosen from the bag at random and the probability is 1.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A bag with 12 marbles has 12 blue marbles.

A marble is chosen from the bag at random.

The probability,

= number of favorable outcomes / total number of outcomes.

= 12/12

= 1

Therefore, the probability is 1.

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All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!

Answer:

Below.

Step-by-step explanation:

To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.

The total volume = 1/2 * 4/3 π (15)^3  + π (15)^2 * 85

= 67151.5 ft^3.

Step-by-step explanation:

find the volume of a sphere with a radius of 15 ft and divide by 2 (because there is only half a sphere on top of the silo).

then add the volume of a cylinder with a radius of 15 ft and a height of 85 ft (because we need to deduct the radius of the sphere from the total height to get the height of the cylinder itself).

The probability that they have a common vertex is 20%.

Since three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:

Therefore, the probability that they have a common vertex is 20%.

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[tex]\\\large \purple{\sf{Formula\:used→}} \\ [/tex]

[tex] \rm{A = \: \pi {r}^{2} (Area \: of \: a \: circle)}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{\sf{Given→}} \\ \\ [/tex]

[tex]\rm{Diameter (d)→26 } \\ \rm{\: we \: know \: that \: radius \: is \: half \: of \: diameter} \\ \rm{r = \frac{26}{2} } \\ \\ \rm{r = \cancel \frac{26}{2} } \\ \\ \rm{r = 13}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \\\large \purple{\sf{Let's solve→}} \\ [/tex]

[tex] \rm{A = \pi \times {(13)}^{2} } \\ \\ \rm{A = \pi \times126} \\ \\ \rm{A = \frac{22}{7} \times 126 } \\ \\ \rm{A = \frac {22} { \cancel{7} } \times \cancel{126}} \\ \\ \rm{A =22 \times 18} \\ \\ \rm{A = 396}[/tex]

[tex]\underline{\rule{70mm}{2.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)[/tex]

[tex]\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)[/tex]

[tex]\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363[/tex]

So

Sum:-

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l][/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)[/tex]

[tex]\\ \rm\Rrightarrow 275(-678)[/tex]

[tex]\\ \rm\Rrightarrow -186450[/tex]

Answer:

-186,450

Step-by-step explanation:

Sum of arithmetic series formula

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where:

[tex]\displaystyle \sum\limits_{k=1}^{275} (-5k+12)[/tex]

To find the first term, substitute [tex]k = 1[/tex] into [tex](-5k+12)[/tex]

[tex]a_1=-5(1)+12=7[/tex]

To find the common difference, find [tex]a_2[/tex] then subtract [tex]a_1[/tex] from [tex]a_2[/tex]:

[tex]a_2=-5(2)+12=2[/tex]

[tex]\begin{aligned}d & =a_2-a_1\\ & =2-7\\ & =-5\end{aligned}[/tex]

Given:

[tex]\begin{aligned}S_{275} & = \dfrac{275}{2}[2(7)+(275-1)(-5)]\\& = \dfrac{275}{2}[14-1370]\\& = \dfrac{275}{2}[-1356]\\& = -186450\end{aligned}[/tex]

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580

Answer:

50 g

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

a

Step-by-step explanation:

The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular hexagon has side lengths of 16 inches. the radius is 16 inches.

The length of the apothem (h) of the hexagon is about inches.

[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]

The perimeter of the hexagon is inches.

[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]

The area of the hexagon is about square inches.

[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]

More about the polygon link is given below.

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Answer:

Step-by-step explanation:

The length of the apothem of the hexagon is about

✔ 13.9

inches.

The perimeter of the hexagon is

✔ 96.0

inches.

The area of the hexagon is about

✔ 667.2

square inches.

Answer:

[tex]\dfrac{x+1}{x-1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]

Factor the numerator and denominator

[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]

Factor out the common term [tex](x-1)[/tex]:

[tex]\implies \dfrac{x+1}{x-1}[/tex]

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[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]

Answer:

D

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

Answer:

Convert -0.8 into a fraction or -2/3 into a decimal;

-2/3 in decimal form = -0.666...

Compare the two decimals;

-0.8 __ -0.666...

-0.8 < -0.666..., so -2/3 is greater.

Answer:

2. -12, -3, 0, 36, -24

3. 0, 8, 13, 15, 9

p-by-step explanation:

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

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Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

sin²(360⁰-x)+cosx.cos(360⁰-x)

sin²x+cosx.(cosx)

sin²x+cos²x

1

I hope it helped you

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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Answer:

0.008111533587 o 32/3945​

Step-by-step explanation:

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

Answer:

108

Step-by-step explanation:

I just divided! Hope this helps

No, not a right-angle triangle

The 3.5 should be 3.3 instead

Hope this helps!

Answer:

no ,left

Step-by-step explanation:

Answer:

What we know:

Our challenge:

Let's set up an equation,

-we'll assume that 'x' are the unknown hours spent on the bus.

The unknown hours spent on the bus plus the hours spent both on walking/and the train will equal a total of 39 hours.

So,

14 + x = 39

Solve for x;

-14        -14

x = 25, the hours Jerry spent riding on the bus is 25 hours.

Answer:

25 hours

Step-by-step explanation:

Given

Solving

The measure of the unknown angle in the triangle is 58 degrees.

A triangle has three sides and the sum of the angles of a triangle is 180 degrees.

Triangles can be classified base on there angles and length of the sides.

Therefore,

let the length of the unknown angle = x

x + 65° + 57° = 180°

x + 122 = 180

subtract 122 from both sides

x + 122 - 122 = 180 - 122

x = 58 degrees

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The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³

First, we shall determine the determine the area of the square base. This is shown below:

P = 4L

14 = 4L

Divide both sides by 4

L = 14 / 4

L = 3.5 m

Now, the area is obtained as follow

A = L²

A = 3.5²

A = 12.25 m²

Finally, we shall determine the volume of the pyramid. Details below:

V = ⅓Ah

V = ⅓ × 12.25 × 8.8

V = 35.9 m³

Thus, we can conclude that the volume of the pyramid is 35.9 m³

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The fraction of the total distance Sasha traveled to her aunts house is 6/7

Step-by-step explanation:

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)