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Gelneren [198K]
3 years ago
7

Mercury, Venus, and Earth are the three planets closest to the Sun. Would their combined distance from the Sun be greater or les

s than the distance from the sun to Neptune? Show your work and justify your answer.

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
The distance from Mercury to Sun is  57,9 * 10⁶km.
The distance from Venus to Sun is  108,2 *10⁶km.
The distance from Earth to Sun is  149,6 *10⁶km.

57,9 *10⁶+ 108,2 *10⁶+ 149,6 *10⁶ ≈ 315,7 *10⁶km 

The distance from Neptune to Sun is  4503 *10⁶km.

That means their combined distanceis less than
<span>the distance from the Sun to Neptune.</span>

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Test the claim below about the mean of the differences for a population of paired data at the level of significance α Assume the
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Complete Question

The complete question is shown on the first uploaded image

Answer:

The  correct option is F

t =  1.17

t_ {\alpha , df} =t_ {0.10 , 8} = 1.86

Since the test statistics<u> is outside </u>the rejection region , <u>we fail to reject </u>the null hypothesis ,There<u> is no</u>  statistically significant evidence to reject the claim

Step-by-step explanation:

From the question we are told that

    The  claim is  \mu =  0

Hence  

      The  null hypothesis is  H_o  :  \mu = 0

       The  alternative is  H_a  :  \mu  \ne  0

Generally the test statistics is mathematically represented as  

                 t =  \frac{\= d - \mu_d }{ \frac{s_d}{ \sqrt{n} } }

=>              t =  \frac{3.5 -0 }{ \frac{8.94}{ \sqrt{9} } }

=>              t =  1.17

Generally the degree of freedom is mathematically represented as

      df  =  n- 1

      df  =  9 -  1

      df  =  8

From the student t-distribution table  the critical value of  \alpha at a degree of freedom of  8 is  

          t_ {\alpha , df} =t_ {0.10 , 8} = 1.86

Since the t_ {\alpha , df} is  outside the rejection region , we fail to reject the null hypothesis ,There is no sufficient evidence to reject the claim

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3 years ago
What do z€ R mean for math as an answer to a inequality
Ksivusya [100]

Answer:

Its used for the domain and it means "the members of all REAL numbers" which refers to their being no imaginary number, for instance in inequalities that have square roots, it cant be a negative number otherwise you will get a imaginary number.

Step-by-step explanation:

5 0
3 years ago
write a conjecture as to the number of sides as compared to the number of triangles formed when drawing diagonals from one verte
amm1812

1Answer:

Step-by-step explanation:

3 0
3 years ago
Please help me it’s due today please help me please please people help me please please
SCORPION-xisa [38]

Answer:

a) 0≠ -10

b) x= -3

c)y= 0

Step-by-step explanation:

a) 3-4x=-7-4x

3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10

So, this equation has no solution as both sides are not equal.

b) 15-2x=-7x

Solving:

15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3

So, this equation has one solution

c) 7(y-3)=6y-21

Solving:

7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0

So, this equation has one solution.

1. Write equation with no solution. 3-4x=-7-4x (check solution of a)

2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)

3. Write equation with infinite solution. 2x + 3 = x + x + 3

solving:

2x+3=2x+3

2x-2x+3=3

3=3

When both sides are equal, the equation has infinite solutions.

6 0
3 years ago
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