l-71l – l-36l
l105l – l-211l

The expected number of times to select a green pencil when the pencils are selected 1350 times is 450

The distribution of the pencils is given as:

Red = 4

Blue = 6

Green = 5

The total number of pencil is:

Total = 4 + 6 + 5

Evaluate the sum

Total = 15

The probability of selecting a green pencil is:

P(Green) = 5/15

Evaluate

P(Green) = 1/3

So, the expected number of times is:

E(x) = 1/3 * 1350

Evaluate

E(x) = 450

Hence, the expected number of times to select a green pencil is 450

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Answer: The Answer is 450

Explanation: I took the test and got it right

Hope this helps :)

Answer:

1480m^2

Step-by-step explanation:

1. Fine the area of the full lot: 35 x 50 = 1750

2. Find the area of the house: 270

3. Subtract the area of the house from the lot: 1750 - 270 = 1480

Your answer is 1480m^2.

Answer:

635.2 cm^3.

Step-by-step explanation:

Volume of the cylinder = π r^2 h

= 3.14 * 4^2 * 5 = 251.2

Volume of the prism = 4 *8 * 12

= 384

Total volume = 384 + 251.2

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {4}^{2} \times 5[/tex]

[tex]v = 251.2 \: {cm}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 12 \times 8 \times 4[/tex]

[tex]v = 384 \: {cm}^{3} [/tex]

[tex]v = 251.2 + 384[/tex]

[tex]v = 635.2 \: {cm}^{3} [/tex]

Answer:

The inequality true is -5-3x > 10-3 (I hope thats the selection kinda hard to tell with spaces.

Step-by-step explanation:

By solving each side of each inequality your able to compare if the statements are true. -5-3x Is 13 and 10-3 is seven making that inequality the only true one in the selection.

Using it's concept, it is found that there is a 0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 176 people who prefer brand A, and of those 80 are from Texas, hence the probability is given by:

p = 80/176 = 0.4545.

0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

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Answer:

12

Step-by-step explanation:

Answer:

80 dollars?

Step-by-step explanation:

4*20=80

Americans spent a total of about $9,000 each on health care in 2013.

Health care is one of the most common expenses that people have to do. This derives from the comon saying that heath is wealth.

The graph shows the degree of expenses by the American people on the issue of health care in the year 2013. From the graph, we can see that Americans spent a total of about $9,000 each on health care in 2013.

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Answer:

C.) About $9,000

Step-by-step explanation:

Edge, 2022.

Answer:

3y=12x-7

y=4x-7/3

so its 4

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

                  What is the gradient of the line 3y-12x+7=0?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

4

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                 First, add 12x to both sides and subtract 7 from both sides:

3y=12x-7

Now, divide by 3 on both sides:

y=4x-7/3

The gradient, or slope, of the line is 4.

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

The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

[tex]S = 2(a\times b + b\times c + c\times a)[/tex]

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= [tex]2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2[/tex]

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

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Answer:

B

Step-by-step explanation:

took the test >:)

Answer:

First picture - 20.42 m

Second picture - 12.9 m

Step-by-step explanation:

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3.5 m

h = height - 5 m

Thus,

[tex]V=3.5^2\frac{5}{3}[/tex]

[tex]20.41667m^3[/tex] ≈ [tex]20.42m^3[/tex]

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3 m

h = height - 4.3 m

Thus,

[tex]V = 3^2\frac{4.3}{3}[/tex]

[tex]12.9m^3[/tex]

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

Kavinsky

Answer:

∠POS = 128°

Step-by-step explanation:

Angles on a straight line always add up to 180°

Therefore:

∠POS + ∠POQ = 180°  (as they are the angles on line SOQ)

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]

To find :-

The value of ∠POS

Given :-

∠POQ = 52°

Solution :-

The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.

∠POS + ∠POQ = 180° {linear pair}

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

Result :-

The angle ∠POS is 128°.

Answer:

1) 14π

2) 47.1

Step-by-step explanation:

1)

Circumference = 2πr

where r = radius

given radius is 7mi

So we have C = 2πr and r = 7

==> plug in 7

C = 2π(7)

==> multiply 2 and 7

C = 14π

we leave our answer in terms of pi so this is our final answer.

2)

Again Cicumference = 2πr

The given radius here is 7.5

So C = 2πr

R = 7.5 and π = 3.14

==> plug in values

C = 2(3.14)(7.5)

==> multiply 2 and 3.14

C = 6.28(7.5)

==> multiply 6.28 and 7.5

C = 47.1

Since the sequence has a common difference of 5, hence the sequence  is 4, 9, 14, 19, ... is defined recursively using the formula  f(n 1) = f(n) – 5 .

Recursive functions are functions used to generalize sequence. Given the recursive function

f(n - 1) = f(n) – 5 .

This can be written as:

f(n) - f(n-1) = 5

This shows that the correct sequence must have a common difference of 5

For the sequence 4, 9, 14,19...

d = 9 - 4 = 14 - 9

d = 5

Since the sequence has a common difference of 5, hence the sequence  is 4, 9, 14, 19, ... is defined recursively using the formula  f(n 1) = f(n) – 5

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Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

( i )

now ,

since diameter = 10 cm

[tex]\implies \: radius = \frac{10}{2} = 5 \: cm \\ [/tex]

now ,

[tex]slant \: height \: ( \: l \: ) = \sqrt{h {}^{2} + r { }^{2} } \\ \\ \implies \: \sqrt{(12) {}^{2} + (5) {}^{2} } \\ \\ \implies \: \sqrt{144 + 25} \\ \\ \implies \: \sqrt{169} \\ \\ \implies \: 13 \: cm[/tex]

now ,

[tex]CSA \: of \: cone = \pi \: \times r \times l \\ \\ \implies \: \pi \: \times 5 \times 13 \\ \\ \implies \: 65\pi \: cm {}^{2} [/tex]

_____________________________

_____________________________

( ii )

now when we flatten the cone ,

the slant height becomes the radius of the sector , while the arc becomes the circumference of cone !

[tex]\therefore \: radius = l = 13 \: cm \\ \\ arc \: length = circumference = 2\pi \: r[/tex]

now ,

[tex]s = d \: \theta \: ( \: for \: a \: sector \: ) \\ \\ \therefore \: l\theta \: = 2\pi \: r \\ \\ \implies \: \theta = \frac{2\pi \: r}{l} \\ \\ \implies \: \theta = \frac{2 \times \pi \times 5}{13} \\ \\ \implies \: \theta \: = \frac{10\pi}{13} \\ \\ \implies \theta \: = \: 0.77 \pi [/tex]

hope helpful :D

Step-by-step explanation:

i)

remember, the radius is half the diameter !

the overall surface area of a cone (base circle + "mantle", the lateral, curved surface) is

A = pi×r × (r + sqrt(h² + r²))

so, only the "mantle" or lateral curved stave area is

pi×r × sqrt(h² + r²) = pi×5 × sqrt(12² + 5²) = pi×5×sqrt(169) =

= pi×5×13 = 65×pi cm²

ii)

the length of the arc of the sector is the circumference of the circle, that was the base of the original cone.

that is

2×pi×r = 2×pi×5 = 10×pi cm

the total circumference of the large circle containing that sector is

2×pi×r' = 2×pi×sqrt(h² + r²)

as the radius r' of the circle containing the sector (representing the "mantle" of the cone) is the lateral height of the cone (the distance along its side from the base to the top). and that is per Pythagoras simply the square root of the sum of the square of the inner height and the square of the base radius.

in our case that is

2×pi×sqrt(12² + 5²) = 2×pi×13 = 26×pi cm

the angle of the sector is then 10/26 of the total of 360° for the whole circle :

360 × 10/26 = 138.4615385...°

or, if you need this in terms of pi too, remember that 360° are represented by 2×pi (the arc length of the standard circle).

2×pi × 10/26 = pi × 20/26 = pi × 10/13 =

= 0.769230769... × pi

The amount that will be there in Henry's account after a period of 6 years will be $1,925.765.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

The amount that Henry put in the account is $1700, while the compound interest on that account is 2.1% annually. Also, the time for which the amount is kept in the account is 72 months which is equal to 6 years.

Now, the total amount in Henry's account after a period of 6 years will be,

[tex]\rm Account\ Balance = \$1700(1+0.021)^6[/tex]

                           [tex]= \$1700(1.021)^6\\\\= \$1,925.765[/tex]

Hence, the amount that will be there in Henry's account after a period of 6 years will be $1,925.765.

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10 - (1/2)^4 * 48 is a mathematical expression and the value of the expression 10 - (1/2)^4 * 48 is 3

The mathematical expression s given as:

10 - (1/2)^4 * 48

Evaluate the exponent

10 - (1/2)^4 * 48 = 10 - 1/16 * 48

Evaluate the product

10 - (1/2)^4 * 48 = 10 - 3

Evaluate the difference

10 - (1/2)^4 * 48  = 3

Hence, the value of the expression is 3

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Answer:

∠A + ∠B = 90°

Step-by-step explanation:

Complementary angles are angles which, combined, add to 90°. Therefore, an equation displaying the relationship between two complementary angles may look like this: ∠A + ∠B = 90°.

Answer:

4

Step-by-step explanation:

Total budget = 760

Money left = 760 - 433.54 - 2*18.41 - 10.76 = 278.88

278.88 > oo * 66.4

oo < 4.2

As oo should be an integer, so number of outfit =4

Answer:

[tex]f = 2.48[/tex]

Step-by-step explanation:

Step 1:  Subtract 4.02 from both sides

[tex]f + 4.02 = 6.5[/tex]

[tex]f + 4.02 - 4.02 = 6.5 - 4.02[/tex]

[tex]f = 2.48[/tex]

Answer:  [tex]f = 2.48[/tex]

Hope this helps!  Let me know if you have any questions

distribute.

[tex](10+13)(2+7y)\\\\20+70y+26+91y\\\\46+161y[/tex]

the answer is 46 + 161y.

Answer:

D. 46 + 161y

Step-by-step explanation:

Smiley face method/FOIL

(10 + 13)(2 + 7y)

= (10*2) + (10*7y) + (13*2) + (13*7y)

= 20 + 70y + 26 + 91y

Add like terms:

46 + 161y

Answer:

triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

Step-by-step explanation:

No; in a right triangle, the other two angles are complementary so they are both less than 90° CLASSIFYING TRIANGLES Copy the triangle and measure its angles.

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = 33

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = 38

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

[tex]\begin{cases} p= < 6,6 > \\ q= < -5,-3 > \end{cases}\qquad \qquad \stackrel{2p}{2 < 6,6 > }~~ + ~~\stackrel{3q}{3 < -5,-3 > } \\\\\\ \stackrel{2p}{ < (2)(6)~~,~~(2)(6) > }~~ + ~~\stackrel{3q}{ < (3)(-5)~~,~~(3)(-3) > } \\\\\\ < 12~~,~~12 > ~~ + ~~ < -15~~,~~-9 > \implies < 12-15~~,~~12-9 > \\\\\\ \stackrel{2p~~ + ~~3q}{\boxed{ < -3~~,~~3 > }}\qquad \qquad ||\stackrel{magnitude}{ < -3,3 > }||\implies \sqrt{(-3)^2 + (3)^2}\implies 3\sqrt{2}[/tex]

Answer:

aThere are 12 total possibilities: 6 numbers + Head or 6 numbers + Tail

Step-by-step explanation:

Now, required outcomes: T+2,4,6= 3/12 = 1/4

Answer:

  arc BC = 26°

  arc AB = 90°

  arc CAB = 334°

Step-by-step explanation:

The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.

__

∠APE +∠EPD = 180°

  (25x +15)° +(33x -9)° = 180°

  58x = 174 . . . . . . divide by °, subtract 6

  x = 3 . . . . . . . . divide by 58

Angle APE is ...

  ∠APE = (25x +15)° = (25·3 +15)° = 90°

Then ...

  ∠EPD = 180° -90° = 90°

  ∠DPC = (20·3 +4)° = 64°

  ∠CPB = 90° -64° = 26°

  arc BC = ∠BPC = 26°

  arc AB = ∠APB = 180° -90° = 90°

  arc CAB = 360° -arc AB = 334°