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viktelen [127]
2 years ago
14

(12) The Earth is one astronomical unit from the

Mathematics
2 answers:
swat322 years ago
7 0

X+5

Y-7

Fractions can someone help me pls

astraxan [27]2 years ago
7 0

Answer:

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

The Earth make 0.02616 revolutions in 4 hours.

Step-by-step explanation:

v = r\times \omega

v =  linear speed

r = radius from the center

\omega= angular speed

The angular speed of the Earth around the sun = 0.9863 degrees/day

Distance of the earth from the sun = r = 1 AU = 93\times 10^{6} miles

Linear speed of earth around the sun = v

v = 93\times 10^{6} miles\times 0.9863 degrees/day=91,725,900 miles/day

1 day = 24 hours

v=\frac{91,725,900 miles}{24 hours}=3,821,912.5 miles/hour

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

Duration  of drive from Dallas to Texas = 4 hours

Miles of revolution of earth covered in 4 hours :

3,821,912.5 miles/hour\times 4 hr = 15,287,650 miles

1 revolution = 2\pi r

1 revolution = 2\times 3.14\times 93\times 10^6 miles

The revolution of earth in 15,287,650 miles will be:

\frac{1}{2\times 3.14\times 93\times 10^6 miles}\times 15,287,650

=0.026162420 revolution ≈ 0.02616 revolutions

The Earth make 0.02616 revolutions in 4 hours.

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As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0
2 years ago
Six neighbors share 4 pies equally how much of a pie does each neighbor get
salantis [7]
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3.   This means that each person gets 2/3 of a pie equally.
8 0
2 years ago
Read 2 more answers
Data from 14 cities were combined for a​ 20-year period, and the total 280 ​city-years included a total of 107 homicides. After
leonid [27]

Answer:

P(0) =  0.6825

P(1) = 0.2607

Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}  

Mean=   107/280 = 0.382  

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=0) =  e  −0.382  (0.382)⁰​/1  

= (0.6825)(1) /1  

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=1) =  e  −0.382  (0.382)¹​/1  

= (0.6825)(0.382)/1  

P(X=1) = 0.2607

Thus, the probability that zero homicides P(0) is 0.2607.

​

5 0
2 years ago
There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c
VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0
1 year ago
Jonathons piggy bank contains 20 nickels 30 quarters and 50 one dollar coins. He picks 20 coins from the bank at random
fredd [130]

Answer:

All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.  

Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.

Step-by-step explanation:

4 0
1 year ago
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