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tia_tia [17]
3 years ago
9

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in

parsecs.

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = 3.09×10^{16}\:\text {m}

So if Proxima Centauri is 4×10^{13}\:\text{m} away, then in terms of parsecs, this distance is

4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)

\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}

xenn [34]3 years ago
3 0

Answer:

6.4 km hope that helps you bye bye

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Is -sqrt20 a rational
Maksim231197 [3]
No you can’t square root a negative
6 0
4 years ago
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Solve for x<br> 8x+4=6x-10<br> x=?
mamaluj [8]

8x+4 = 6x-10

To solve for x you'll want to move all the terms containing x onto the left side of the equation and all the other terms on the right side of the equation.

1. Subtract 6x from both sides.

2x+4 = -10

2. Subtract 4 from both sides.

2x = -14

3. Divide both sides by 2.

x = -7

Answer is:

-7

7 0
3 years ago
Read 2 more answers
In 2011, The New York Yankees won 97 out of 162 of their baseball games. Is there sufficient evidence that the proportion of win
Cloud [144]

Answer: It is sufficient evidence that it will reject the null hypothesis.

Step-by-step explanation:

Since we have given that

Number of players of baseball games = 162

Number of games won = 97

So, \hat{p}=\dfrac{97}{162}=0.5988

Hypothesis:

H_0:p\leq 0.5\\\\H_a:p>0.5

So, test statistic would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.5988-0.5}{\sqrt\dfrac{0.5\times 0.5}{162}}}\\\\z=2.514

And the p-value = 0.006 at z=2.514.

Since p-value < α = 0.10 significance level.

Hence, it is sufficient evidence that it will reject the null hypothesis.

7 0
3 years ago
9. Raju sells a watch at 5% profit. Had he sold it for 24 more he would have gained 11%. Find the cost price of the watch.​
Ede4ka [16]

Answer:

400$

Step-by-step explanation:

Let C.P. of the watch = Rs. 100

When profit =5%; S.P. = Rs. (100+5)

= Rs. 105

and when profit = 11%;

S.P. = Rs. (100+11)

=Rs.111

Difference of two selling prices

= Rs. 111-Rs.105 = Rs.6

When watch sold for Rs. 6 more; then C.P. of the watch = Rs.

100

6

When watch sold for Rs. 24 more; then C.P. of the watch = Rs.

100

6

×

24

= Rs.

100

×

24

6

=400

7 0
2 years ago
Need help finding measure of angle R.
Hunter-Best [27]

Answer:

B.) 113°

Step-by-step explanation:

In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

4x+7=7x-38

Subtract 4x from both sides:

4x-4x+7=7x-38-4x\\7=3x-38

Add 38 to both sides:

7+38=3x-38+38\\45=3x

Divide both sides by 3:

\frac{45}{3}=\frac{3x}{3}\\\\  15=x\\\\x=15

x is equal to 15. Now substitute the value of x into the one of the expressions:

4(15)+7\\60+7\\67

or

7(15)-38\\105-38\\67

The angles T and S are 67°.

The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

67+67=134

Subtract their total from 360:

360-134=226

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

\frac{226}{2}= 113

Angle R is 113°.

Done.

7 0
3 years ago
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