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Feliz [49]
1 year ago
9

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P

= a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
9.5 AU
19.7 AU
44.3 AU
160.2 AU
Mathematics
2 answers:
34kurt1 year ago
7 0

Answer:

ig 44.3

Step-by-step explanation:

Ivanshal [37]1 year ago
6 0

Answer:

44.3 is the one

Step-by-step explanation:

mark me and give my 5 start and heart

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The average diameter of sand dollars on a certain island is 5.00 centimeters with a standard deviation of 0.90 centimeters. If 1
Montano1993 [528]

Answer:

the probability that the average diameter of those sand dollars is more than 4.73 centimeters is 0.5910

Step-by-step explanation:

Given information:

mean, x = 5

standard deviation, σ = 0.9

number of sample, n = 16

now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.

P(x>4.73)  = P (z > (4.73 - x) / (σ \sqrt{n})

                = P (z > (4.73 - 4) / (0.9 \sqrt{16})

                = P (z > 0.203)

                = 0.5910

4 0
2 years ago
Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b
Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = (length)(width)= (20)(8) =160,

The area of the 10 feet long wall = (length)(width)= (10)(8) =80,

The area of the 5 feet long wall = (length)(width)= (5)(8) =40,

The area of the 4 feet long wall = (length)(width)= (4)(8) =32,

The area of the 15 feet long wall = (length)(width)= (15)(8) =120.

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = 432(2)=864 square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = \frac{864}{500} = 1.728 cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0
2 years ago
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings? 6 cups 3 and o
Vlad [161]

Answer:

3 1/3 cups of flour

Step-by-step explanation:

20/4 = 5

20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.

5 * 2/3 = 10/3 = 3 1/3

Answer: 3 1/3 cups of flour

6 0
2 years ago
Read 2 more answers
At a college, 69% of the courses have final exams and 42% of courses require research papers. Suppose that 29% of courses have a
laila [671]

Answer:

a) 0.82

b) 0.18

Step-by-step explanation:

We are given that

P(F)=0.69

P(R)=0.42

P(F and R)=0.29.

a)

P(course has a final exam or a research paper)=P(F or R)=?

P(F or R)=P(F)+P(R)- P(F and R)

P(F or R)=0.69+0.42-0.29

P(F or R)=1.11-0.29

P(F or R)=0.82.

Thus, the the probability that a course has a final exam or a research paper is 0.82.

b)

P( NEITHER of two requirements)=P(F' and R')=?

According to De Morgan's law

P(A' and B')=[P(A or B)]'

P(A' and B')=1-P(A or B)

P(A' and B')=1-0.82

P(A' and B')=0.18

Thus, the probability that a course has NEITHER of these two requirements is 0.18.

3 0
2 years ago
Joel looks at a map of Colorado, scowls, and tears it to shreds. "I don't need this lousy map," he mutters, puffing out his ches
Andru [333]

Answer:12 x 9

Step-by-step explanation: 600 x 2/100 = 1200/100 = 12

450 x 2/100 = 900/100 = 9

Remember that 100km = 2 units

5 0
2 years ago
Read 2 more answers
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