How many ways can eight different cans of soup be displayed in a row on a shelf?

Answer:

Step-by-step explanation:

7*.01= .7

2*100=200

3*1000=3000

4*1=4

5*.01=.05

.7+200+3000+4+.05=3204.75

Reason:

The confidence interval for the population proportion p is (0.34, 0.43)

This is equivalent to saying 0.34 < p < 0.43

We're 95% confident p is somewhere between 0.34 and 0.43

Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45

So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.

Yes, it is reasonable to claim that less than 45 % of Floridian voters are Democrats.

If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use a t-statistic.

Let the sample mean given as[tex]\overline{x}[/tex] and

The sample standard deviation s, and

The sample size = n, and

The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where, [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.

The confidence interval for the population proportion p is given as (0.34, 0.43)

This is equivalent to 0.34 < p < 0.43

We're 95% confident that p is somewhere between 0.34 and 0.43

Both of these endpoints are smaller than 0.45, seems that all of the proportions p in the interval are smaller than 0.45

So it's fairly reasonable to assume that less than 45% of the Floridian voters are Democrats. So there's always a margin of error with statistics, so we cannot say this with 100% certainty.

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[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{42}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{42}-\stackrel{y1}{21}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{21}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{21}=\stackrel{m}{\cfrac{21}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-21=\cfrac{21}{2}x-21\implies y=\cfrac{21}{2}x[/tex]

Answer:

287(inches)³

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Answer:

I just did for your previous posting.

Answer:

about 11.7 units

Step-by-step explanation:

[tex]11w = 44[/tex]

[tex]w = 4[/tex]

[tex] \sqrt{ {11}^{2} + {4}^{2} } = \sqrt{121 + 16} = \sqrt{137} = 11.705[/tex]

Answer:

Step-by-step explanation:

Answer:

Pink Trapezoid = 15

Green Cresent = 11

Step-by-step explanation:

The total weight of the mobile is 30.

Because the mobile is evenly balanced between both sides, and we know the diamonds weigh 2 each, we can use simple math tofind the values of the other shapes.

So the total weight (30) divided by the 2 sides = 15 on each side.

This means the pink trapezoid weighs 15 and the rigt side weighs 15.

So 15 - 2 - 2 = 11

So the green Crescent weighs 11.

Answer:

Volume = 2714.34

Step-by-step explanation:

This is answer because the formula to finding cylinder volume is: [tex]\pi[/tex][tex]r^{2}[/tex]h

Radius = [tex]\frac{Diameter or Base}{2}[/tex]

Radius = 12

12 squared = 144

144*6 = 864

864[tex]\pi[/tex] = 2714.34 (rounded)

The radius of the sphere has a volume of 7,234.56 units^3 is 1728 units.

We have the sphere has a volume of 7,234.56units^3

V=7,234.56units^3

[tex]V=(4/3)(pi)(r^3)[/tex]

Where r is the radius.

Solving this for r^3, we get

 [tex]r^3=\frac{V}{(4/3)(pi)}[/tex]  

 [tex]r^3=\frac{V}{(4/3)(3.14)}[/tex]

 [tex]r^3=\frac{7,234.56}{4.19}[/tex]

  [tex]r=1728[/tex]

Therefore we get the radius of the sphere is  r = 1728 units

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Answer:

You do the thing, then the other thing than BAM! An answer!

Step-by-step explanation:

POINTS

Answer:

Option B, [tex]396\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom

[tex]A = l * w[/tex]

[tex]A = 12\ units * 8\ units[/tex]

[tex]A = 96\ units^2[/tex]

Step 2:  Determine the area of the back

[tex]A = l * w[/tex]

[tex]A = 9\ units * 8\ units[/tex]

[tex]A = 72\ units^2[/tex]

Step 3:  Determine the hypotenuse

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex]12^2 + 9^2 = c^2\\[/tex]

[tex]144 + 81 = c^2[/tex]

[tex]225 = c^2[/tex]

[tex]\sqrt{225} = \sqrt{c^2}[/tex]

[tex]15 = c[/tex]

Step 4:  Determine the area of the top

[tex]A = l * w[/tex]

[tex]A = 15\ units * 8\ units[/tex]

[tex]A = 120\ units^2[/tex]

Step 5:  Determine the area of the triangles

[tex]A = \frac{h\ *\ b}{2}[/tex]

[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]

[tex]A = \frac{108\ units^2}{2}[/tex]

[tex]A = 54\ units^2[/tex]

Step 6:  Determine the surface area

[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]

[tex]396\ units^2[/tex]

Answer: Option B, [tex]396\ units^2[/tex]

Answer:

x = 9, y = 3

Step-by-step explanation:

-2x-2y=-24 (EQ 1)

-3x-2y=-33 (EQ 2)

Combining terms we means we either add or subtract the equations in order to eliminate a x or y terms. Simply choose a equation and change it to it's opposite (ex. -3 becomes 3.)

Let's try swapping EQ 1

2x + 2y = 24

(Simply add similar variables and numbers like you would a addition problem.)

-3x-2y=-33

-x = -9

x = 9

Now plug that into one of your equations to get y.

-2(9) -2y = -24

-18 -2y = -24

(Add 18 to both sides.)

-2y = -6

y = 3

Answer:

4u-15 is your answer

Step-by-step explanation:

20(1/5u-3/4)

20/5u-60/4

4u-15

Lets solve:

⇒20(1/5u-3/4)

Divide by 20 on each side

⇒20/5u-60/4

Solve the problems

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

⇒4u-15

Final answer: 4u-15

hope this helps :)

Answer:

The value of x = 6

Step-by-step explanation:

=> 4(x + 2) = 32

=> 4x + 8 = 32

=> 4x = 32 - 8

=> 4x = 24

=> x = 24/4

=> x = 6

Answer:

The answer is x= 31

Step-by-step explanation:

(5x-16)+ (x+10)= 180 (Linear Pair)

Now, open the brackets

5x-16+x+10= 180

Arrange the like terms together

5x+x-16+10= 180

=> 6x-6= 180

=> 6x= 180+6

=> 6x= 186

=> x= 186/6 = 31

∴x= 31

Hope it helps!!

The expression (2m^4)^3is an algebraic expression, and the simplified value is 8m^12

The expression is given as:

(2m^4)^3

Expand the bracket

(2m^4)^3 = 2^3 * m^(4 * 3)

Evaluate the exponents

(2m^4)^3 = 8 * m^12

Evaluate the product

(2m^4)^3 = 8m^12

Hence, the simplified value is 8m^12

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if we take 2100 to be the 100%, what is 273 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13[/tex]

Answer:

Exact form: [tex]\frac{16}{81}[/tex]

Decimal form: 0.1975308

Answer:

Step-by-step explanation:

Remark

The figure inside the circle is a quadralateral. The 4 angles touch the circumference of the circle. The figure is further defined as a cyclic quadrilateral.

One of the properties of such a figure, is that the opposite angles are supplementary. That is they add to 180.

Equation and solution

? + 100 = 180             Subtract 100 from both sides

? + 100 - 100 = 180 - 100

? = 80 degrees

Answer

? = 80

Answer:

1200

Step-by-step explanation:

We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.

In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

Answer: hii

1 is the only correct expression.

Step-by-step explanation:

Anything raised to 0 is 1.

Hopefully this helps you

- Matthew <3

Answer: A, B, C, D

All four answers are to be checked off

Explanation:

Anything of the form [tex]x^0[/tex] will be equal to 1, whenever x is nonzero.

So [tex]5^0 = 1[/tex]

All of the answer choices mentioned simplify to 1. Dividing any nonzero value over itself yields 1, so that explains A and B.

Choice C should be fairly obvious, and choice D there isn't any simplification needed.

Answer:

3/1 is the slope.

Step-by-step explanation:

Slope formula: y2 - y1/x2 - 1

Plugging in the given values, we get:

-9 - (-6)/3-4

-3/-1

Two negatives cancel each other out, so:

3/1 is the slope.

The number of bags of flour would be 40.

And, the number of bags of sugar would be 120.

Given that,

You must buy three times as many bags of sugar as there are bags of flour.

And, you are on a budget of $720. Flour costs $6 per bag and sugar costs $4 per bag.

Let us assume that,

The number of bags of flour = x

And, the number of bags of sugar = y

Hence, we get;

y = 3x  .. (i)

And, 6x + 4y = 720  .. (ii)

Substitute x = 3y in (ii);

6x + 4 (3x) = 720

6x + 12x = 720

18x = 720

x = 720/18

x = 40

From (i);

y = 3 × 40

y = 120

Thus, The number of bags of flour = 40

And, the number of bags of sugar = 120

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Answer:

Side length: z + 4

Perimeter: 64

Step-by-step explanation:

Hello!

Since the area of a square is the square of the sde length,

using the special binomial product formula: (a+b)² = a² + 2ab + b²:

The side length of the square is (z+4)².

The perimeter is 4(z + 4), where z is 12:

The side length is z + 4, the perimeter is 64

The probability that a sequence will contain exactly one 0 is 3/8.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,

We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .

where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule

we know that the sample space will have (2)(2)(2) = 8 sample points.

Specifically, the sample space is

S = {111, 110, 101, 011, 100, 010, 001, 000},

There are three sequences with exactly one 0.

Therefore the probability that a sequence will contain exactly one 0 is 3/8.

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Answer:

Step-by-step explanation:

In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.

We know that,

Now, Substituting the values in the fomulae :

⇒ 4/3πr³ = 4500π

Cancelling π from both sides :

⇒ 4/3r³ = 4500

⇒ 4r³ = 4500 × 3

⇒ 4r³ = 13500

⇒ r³ = 13500/4

⇒ r³ = 3375

Taking cube root on both sides we get :

⇒ r = 15

Therefore,

Answer:

Step-by-step explanation:

In this question we have provided volume of sphere that is 4500π cubic yards . And we are asked to find the radius of the sphere .

We know that ,

[tex] \qquad \: \frak{Volume_{(Sphere)} = \dfrac{4}{3}\pi r {}^{3} } \quad \bigstar[/tex]

Where ,

Solution : -

As in the question it is given that volume of sphere is 4500π . So equation it with volume formula :

[tex] \dashrightarrow \: \qquad \: \dfrac{4}{3} \pi r {}^{3} = 4500\pi[/tex]

Step 1 : Cancelling π as they are present on both sides :

[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} \cancel{\pi }r {}^{3} = 4500 \cancel{\pi}[/tex]

We get ,

[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} r {}^{3} = 4500[/tex]

Step 2 : Multiplying with 3/4 on both sides :

[tex]\dashrightarrow \: \qquad \: \dfrac{ \cancel{4}}{ \cancel{ 3}} r {}^{ 3} \times \dfrac{ \cancel{3}}{ \cancel{4}} = \cancel{ 4500} \times \dfrac{3}{ \cancel{4} }[/tex]

On further calculations, We get :

[tex]\dashrightarrow \: \qquad \: r {}^{3} = 1125 \times 3[/tex]

[tex]\dashrightarrow \: \qquad \:r {}^{3} = 3375[/tex]

Step 3 : Applying cube root on both sides :

[tex]\dashrightarrow \: \qquad \: \sqrt[3]{r {}^{3} } = \sqrt[3]{3375} [/tex]

We get :

[tex]\dashrightarrow \: \qquad \: \purple{\underline{\boxed{\frak{r = 15 \: yards}}}}[/tex]

The probability of randomly choosing a number either divisible by 5 or divisible by 3 is 1/2.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability of randomly choosing a number either divisible by 5 or divisible by 3 = (numbers divisible by 3 / total number) + (numbers divisible by 5 / total number)

10/32 + 6/32 = 16/32=  1/2

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Answer:

7/16

Step-by-step explanation:

Answer:

(x + 4)^2 + (y - 1)^2 = 61.

Step-by-step explanation:

We need to find the square of the radius and the coordinates of the center.

Center = (-10 + 2)/2 , (-4 + 6)/2

= (-4, 1).

Length of the diameter

=  √((-10-2)^2 + (-4-6)^2)

= √(144 + 100)

=√244

So the radius = √244/2

and r^2 = 244/4 = 61,

So the equation of this circle is:

(x - (-4)^2 + (y - 1)^2 = 61

(x + 4)^2 + (y - 1)^2 = 61.

(x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given coordinates of the diameter of circle are  (-10,-4) and (2,6)

Diameter=√(x₂-x₁)²+(y₂-y₁)²

x₂=2,x₁=-10, y₁=-4, y₂=6

Diameter=√(2-(-10))²+(6-(-4))²

=√(12)²+(10)²

=√144+100

=√244

We know that Radius=Diameter/2

R=√244/2

Squaring both sides

R²=244/4

R²=61

So the equation of this circle is:

(x - (-4)² + (y - 1)² = 61

(x + 4)²+ (y - 1)² = 61.

Hence (x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

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