what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The median value of the distribution of X is 1

The cumulative probability of the distribution is:

[tex]\sum E(x) = 1[/tex]

The median position is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the median is at the 0.5th position

The value of the spin at the 0.5th position is 1

Hence, the median value of the distribution of X is 1

Read more about median at:

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Answer:

8759.78

Step-by-step explanation:

cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78

Approximately how much money will he make over 10 years is $8,759.78.

Using this formula

Amount=[Principal(1+rate)^t]- Principal

Where:

Principal=$40,000

Rate=2%

Time=10 years

Let plug in the formula

Amount=[$40,000×(1+0.02)^10]-$40,000

Amount=[$40,000×(1.02)^10]-$40,000

Amount=$48.759.776-$40,000

Amount=$8,759.776

Amount=$8,759.78 (Approximately)

Inconclusion approximately how much money will he make over 10 years is $8,759.78.

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Answer:

0.75≠100.4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

all u need to do is to cube root 1331, because it is a cube. hope i helped.

Answer:

270 KM

Step-by-step explanation:

180 divided by 2= 90

90*3= 270

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

Step-by-step explanation:

pi*36*10= 1131 cubic feet

Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

Answer:

Side Length AB = 22

Side Length CB = 35.21

Side Length = 41.52

Angle A = 58°

Angle B = 90°

Angle C = 32°

Step-by-step explanation:

Tan(32) = 22 / CB

Tan(32) * CB = 22

CB = 22 / Tan(32)

CB = 35.21

22² + 35.21² = AC²

484 + 1239.74 = AC²

1723.74 = AC²

[tex]\sqrt{1723.74}[/tex] = AC

41.52 = AC

Angle A + Angle B + Angle C = 180°

Angle A + 32° + 90° = 180

Angle A + 122 = 180

Angle A = 180 - 122

Angle A = 58°

Hope this helps!

Answer:

Sine Rule will apply here too

22/Sin32° = AC/sin90

AC = 22sin90/sin32

AC=41.52(To the nearest 100th)

Angles in a triangle =180

Angle A = 180 - 90 - 32

Angel A = 58°

BC/Sin58 = 22/sin32

BC = 22sin58/sin32

BC=35.21 (Nearest 100th).

Have a great day!

Answer:

[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Step-by-step explanation:

A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].

The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].

So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].

Therefore [tex]0=-5x^2+9x-4[/tex].

Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].

Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].

To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.

Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].

Now put these values into the quadratic formula:

[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]

And simplify:

[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].

[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]

Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.

So [tex]x = \frac{-10}{-10} = 1[/tex]

or

[tex]x = \frac{-8}{-10} = 0.8[/tex]

Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Answer:

Its A for the function that represents the geomertric sequence

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation:

Answer:

5/12

5 balloons were yellow out of the 12

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

Answer:

Hi

Good

I think its the second but i'm not sure because there are no measurements

Good luck

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

Answer:

WY = 8

Step-by-step explanation:

We solve for above question using the Trigonometric function of Sine

sin θ = Opposite/Hypotenuse

Opposite = WY = x

Hypotenuse = 9

θ = 63°

Hence,

sin 63° = x/9

Cross Multiply

x = sin 63° × 9

x = 8.0190587177

Approximately x = 8

Therefore, WY = 8

Answer:

Your answer would be 3.4

Step-by-step explanation:

I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!

Please mark brainly!

Answer:

Step-by-step explanation:

Answer:

N-3

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20!

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

Answer:

2 cm

Step-by-step explanation:

V=πr2h = 20π

-π                -π

r2h = 20

h= 5

r2(5) = 20

/5         /5

r2=4

/2  /2

r=2cm

(my work is complicated, but trust me 2 cm is the answer)  

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 8x[/tex]

To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer:

604

Step-by-step explanation:

I did the math

Answer:

28 of the student do not snowboard

Step-by-step explanation: