Instructions
Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space.

Part 1
Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the sun. The sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from sun (in km) Distance in scientific notation
Mercury 57,909,000

Answer: the value for the associated test statistic is 1.2653

Step-by-step explanation:

Given that;

sample size one n₁ = 10

mean one x"₁ = 6.4

standard deviation one S₁ = 1.1

sample size two n₁ = 11

mean two x"₂ = 5.6

standard deviation one S₁ = 1.7

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Pooled Variance

sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))

we substitute

= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))

= √( { [(9) × 1.21 + (10) × 2.89]  / (19) } × (0.1909))

= √({[ 39.79 ]  / 19} × (0.1909))  

= √( 2.0942 × 0.1909)

= √( 0.39978 )

= 0.63228

Now Test Statistics will be;

t = ( x"₁ - x"₂) / sp

we substitute

t = ( 6.4 - 5.6) / 0.63228

t = 0.8 / 0.63228

t = 1.2653

Therefore the value for the associated test statistic is 1.2653

Answer:

x+y=5

Step-by-step explanation:

Isolate y in the first equation:

3x+ 2y = 10

2y = 10 - 3x

y= (10 - 3x)/2

substitute this value of y into the second equation:

2x + 3 ((10 - 3x)/2) = 15

now solve for x:

2x + 3/2 (10 - 3x) =15

2x + 15 - 9/2x = 15

-5/2 x = 15 - 15

-5/2 x / (-5/2) = 0/(-5/2)

x=0

now use this value to solve for y:

y = (10 - 3(0))/2

y = 10/2

y = 5

now x+y

0+5=5

Answer:

I said C on my test but I'm pretty sure its right

Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

24 x 7 = 168

168 / 8 = 21

8 x 21 = 168

168 = 168

Answer: 21

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

Answer:

Step-by-step explanation:

option d

Answer:

(C) f(x) = 4(x + 6)2 – 134

Step-by-step explanation:

edge 2022

Answer:

l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name

Answer:

To prove triangles are congruent (equal) you must show that corresponding sides have the same measure as well as corresponding angles having the same number of degrees.

Step-by-step explanation:

Answer: You need to show that the measure of angle G is equal to the measure of angle T.

Answer:

approx. 9.06 for one pound

Step-by-step explanation:

Answer:

I think it is postive

Answer:

The 90% confidence interval is   [tex] 87.95   <  \mu < 92.05  [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 28[/tex]

    The  sample mean is  [tex]\= x = 90[/tex]

    The standard deviation is  [tex]s= 60[/tex]

Generally given that the sample size is not large enough i.e  n <  28 then we will make use of the t distribution table  

Generally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]    

=>      [tex]df = 28 - 1[/tex]  

=>      [tex]df = 2 7[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the student t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 27  } =  2.052[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex]90  - 2.052  <  \mu < 90  + 2.052  [/tex]

=> [tex] 87.95   <  \mu < 92.05  [/tex]

Answer:

[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]

Step-by-step explanation:

We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.

We are given the equation:

[tex]x^2+8x+10=3[/tex]

We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.

It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.

[tex]x^2+8x+10-3=3-3[/tex]

[tex]x^2+8x+(10-3)=0[/tex]

[tex]x^2+8x+7=0[/tex]

The equation in standard form is x²+8x+7=0

Answer:

B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.

Step-by-step explanation:

Since the shoe company wants to test the wear of the shoes after two months, it means that option B will be the most accurate.

This because everybody has peculiarities in the bodies and also running patterns. These could have an effect on either of their legs. Thus, having to wear a new one on one leg and the original one on another leg for a month and then replacing with the second leg of both for the other month would be the best way to know the true effect of wear on the shoes because they have both been subject to same conditions within exactly the same timeframe.

Answer:

B

Step-by-step explanation:

got it right

Answer:

N=89

59 = n - 35

54+35 = n

89=n

n=89

Answer:

-144?

Step-by-step explanation:

im not sure if that'll be the answer

Answer:

-134

Step-by-step explanation:

Answer:

77 is the answer your welcome

Answer:

The  value is  [tex]P( H \ n \ T ) = 0.6049[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  [tex]P(H) = 0.7870[/tex]

   The probability of getting three or more heads in a row or three or more tails in a row is    [tex]P(H \ u \ T ) = 0.9791[/tex]

Generally given that it is a fair coin , then   [tex]P(H) = P(T) = 0.7870[/tex]

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        [tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]

=>   [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]

=>   [tex]P( H \ n \ T ) = 0.6049[/tex]

Answer:

not equal

Step-by-step explanation:

Answer:

x= -7.5

Step-by-step explanation:

x-12-5=3x-2

x-17=3x-2

-2x=15

x=-7.5

Answer:1,7

Step-by-step explanation:

Answer:i think it's 88 86

Step-by-step explanation:

Answer:

x = 97

Step-by-step explanation:

Question 2:

Recall that, the sum of all 4 angles in a quadrilateral = 360°.

This means that all the interior angles of the quadrilateral given above would sum up to 360°.

To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.

Thus:

(x + 10) + x + 59 + x = 360°

Add like terms

3x + 69 = 360

3x + 69 - 69 = 360 - 69

3x = 291

3x/3 = 291/3

x = 97

The standard error of the sampling distribution is given as follows:

B. 0.054.

By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The parameter values for this problem are given as follows:

p = 0.2, n = 55.

Hence the standard error is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]

s = 0.054.

Meaning that the correct option is given by option B.

More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303

#SPJ1

Answer:

Infinitely many solutions.

Step-by-step explanation:

The two sides are the exact same therefore x can be anything

Answer:

infinitely many solutions

Step-by-step explanation:

6(x + 4) - 8 = 6x - 16

6x + 24 - 8 = 6x - 16

6x - 16 = 6x - 16

6x = 6x

x = x

RHS = LHS

Therefore, x can be any real number.

Answer:

ASA

Step-by-step explanation:

since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem

Answer: D. n = 12

================================

Work Shown:

n/33 = 4/11

11*n = 33*4 ... cross multiply

11n = 132

n = 132/11 ... divide both sides by 11

n = 12

Answer:

D: n = 12​

Step-by-step explanation:

n/33=4/11

we multiply by 33

n=4*33/11

33 can be divided by 11

n=4*3

n=12