Assume another planet is 10^8 million miles away from Earth. If an astronaut in the future can travel 10^5 million miles per week, about how many weeks would it take for her to reach the other planet?

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!!

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.

Learn more about the confidence interval of the population for small sample here:

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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)

Answer: 2.8

Step-by-step explanation: 80/100 of 14 = 11.2

Wrong = 14 - 11.2

Answer:

You got 11.2 questions right and 2.8 questions wrong.

Step-by-step explanation:

80% * 14 is 11.2

And 14-11.2 is 2.8

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:

287(inches)³

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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:

108 cm^2

Step-by-step explanation:

rectangle   + 2  triangle = total area

L x W          + 2    *  1/2 base * height   = total area

(5x12)          + 2    *  1/2 * 12 * 4    = total area

  60              +   48    = 108 cm^2

Answer:

108 cm²

Step-by-step explanation:

To do:

1. find area of rectangle      2. find area of triangles       3. add them together

area of a rectangle = bxh = 5x12 = 60

area of triangle = (bxh)/2 = (12x4)/2 = 24

60+24+24=108

[tex]\text{Given that,}\\\\f(x) = 7x^2\\\\f'(x) = 7\cdot 2 x = 14x\\\\\text{At x = 12,}\\\\f'(12) = 14 \times 12 = 168[/tex]

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:

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

Decimal form: 0.1975308

Answer:

16x257

Step-by-step explanation:this eqals that and stuff

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.

To know more about probability follow

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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:

I just did for your previous posting.

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.

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:

-20677

Step-by-step explanation:

-23 . - 29 . -31

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

To learn more about the sphere visit:

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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.

Answer:

Lexi rode a total of 13 miles in 3 days.

Step-by-step explanation:

3x3+4=13

Answer: The other answer is wrong it  Lexi road 16 miles and not  13

16 is rigth

Answer:

30

Step-by-step explanation:

I see that the square in the triangle is a right triangle, so it's automatically a 90 degrees. the triangle should add up to 180, so I figured that since we have 90, we just needed to find the other angles that help add up to that, which is 60 and 30

im sorry if im wrong

Answer:

Red, Blue, Yellow

Step-by-step explanation:

The three primary colors are red, blue, and yellow.

Answer:

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

Step-by-step explanation:

POINTS

Answer: Square is rhombus

Rectangle not rhombus

Last one rhombus

Step-by-step explanation:

They have to have parallel lines that never meet

All sides have to be the same size

I got the same question right to it should be right

Answer:

180

Step-by-step explanation:

a^2 + b^2 = c^2

(18^2)+(80^2)=6724

square root of 6724 is 82

82+18+80 = 180

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:

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:

well just look at the price tag it should cost the same price sense it was only about ten years ago its not like it is a thousand years old.