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Svet_ta [14]
2 years ago
13

Mission Control sends a signal to a Mars robot to travel to a mysterious rock 52.8 meters away. A return signal 59.0 minutes lat

er tells scientists that the robot is at the rock. It took the signal 9.5 minutes to get from Earth to Mars, and the same time to get back. What was the robot’s average speed in meters per minute?
Mathematics
1 answer:
Andrei [34K]2 years ago
4 0
The response time includes the round-trip signal time plus the robot's travel time.
  59 min = 2*(9.5 min) +travel time
  59 min -2*(9.5 min) = travel time = 40 min

The speed is distance / travel time
  speed = (52.8 m)/(40 min) = 1.32 m/min

The robot's average speed was 1.32 meters per minute.
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Trevor Ariza is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next on
vivado [14]

Answer:

Probability of making none of next 5 free throws = 0.00243

Step-by-step explanation:

"Making or missing free throws doesn't change the probability that he will make his next one"

So the probability of making none of next 5 free throws

= Probability of missing next 5 free throws

= Probability of missing 1 free throw^5


"...he makes his free throws 70%" so the probability of missing 1 free throw = 1-70% = 0.3

So the probability of making none of next 5 free throws = 0.3^5

= 0.00243




7 0
2 years ago
Read 2 more answers
Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions
11111nata11111 [884]

Answer:

  C.  On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage

Step-by-step explanation:

Apparently, winning percentage is plotted on the vertical axis, so the slope represents the ratio of winning percentage to salary in millions.

Then an increase in salary by 1 million is expected to be associated with an increase of 8.42 points in winning percentage.

3 0
2 years ago
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, co
Eva8 [605]

Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

5 0
2 years ago
Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen
tino4ka555 [31]

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

5 0
2 years ago
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a
kozerog [31]

Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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