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aleksklad [387]
3 years ago
7

A mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

v = 1.62 m/s

Step-by-step explanation:

Given that,

Distance covered by the mouse is 5.56 m is in 3.42 seconds.

We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,

v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s

So, the velocity is 1.62 m/s.

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9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score

Given that:

\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0
3 years ago
Jeremy reads 3 books each week. How many books will Jeremy read in 5 weeks?
Nutka1998 [239]

Answer:

15 books

Step-by-step explanation:

we can find this by multiply 3 x 5 which gets us our answer 15

7 0
3 years ago
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The sum of 5 consecutive even numbers is 200. what is the fifth number in this sequence
Andrej [43]
Answer: 44

solution: x+(x+2)+(x+4)+(x+6)+(x+8)=200
5x+20=200
5x=180
x=36
5th number - x+8=36+8=44
8 0
3 years ago
Read 2 more answers
This table shows numbers of sweets in some tubes, but a coffee stain has deleted one of the figures.
svlad2 [7]
To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:

(1.5*4)+(0.5*x)=(0.5*9)+(1.5*1)+(2.5*1)

This simplifies to:

6+0.5x=8.5
0.5x=2.5
x= \frac{2.5}{0.5}
x=5

This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.

hope this helps :)

(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
6 0
3 years ago
What fraction is equivalent to 0.7 repeated
pishuonlain [190]
.7 repeating would make it 7/9
3 0
3 years ago
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