Step-by-step explanation:
45.5 percent *130 =
(45.5:100)*130 =
(45.5*130):100 =
5915:100 = 59.15
Now we have: 45.5 percent of 130 = 59.15
Acceleration of motorcycle= 1.23m/s^2
Step-by-step explanation:
We need to find the acceleration of motorcycle When its speed increases from 10km/hr to 50km/hr in 9 seconds
Given:
Initial speed= 10km/hr
Final speed= 50km/hr
Time = 9 seconds
Acceleration = ?
Formula: 
Solution:
We will first convert the speed from km/hr to m/s
Converting Initial speed 10km/hr into m/s
1 km = 1000 m
10 km = 10,000 m
and 1 hr = 3600 s
So, Initial speed = 10,000/3600 = 2.77 m/s
Converting Final speed 50km/hr into m/s
1 km = 1000 m
50 km = 50,000 m
and 1 hr = 3600 s
So, Initial speed = 50,000/3600 = 13.88 m/s
Now Using formula of acceleration:

So, Acceleration of motorcycle = 1.23m/s^2
Keywords: Acceleration, Change in speed
Learn more about Acceleration at:
#learnwithBrainly
1: one solution
Explanation: We see that the variable x is equal to 9 (and only 9). Therefore there is only one solution
2: infinitely many solutions
Explanation: When an equation has infinitely many solutions, it means that any real number (aka <em>all real numbers</em>) would satisfy that equation. For example 2x = 2x. Any number you plug in for x would result in both sides being equal. So you know an equation has infinitely many solutions if both sides are the same
3: no solution
Explanation: 7 does not equal 4 so you can't solve this equation.
4: no solution
Explanation: 7 is not less than 7, that is impossible, so there is no solution.
5: one solution
Explanation: 8 <em>is</em> greater than or equal to -2, so this inequality is true, meaning it represents one solution
The probability that a randomly selected x-value from the distribution will be in the interval:
- P(35 < x < 45) = 0.6827 and,
- P(30 < x < 40) = 0.47725
<h3>What is the probability of a normal distribution?</h3>
The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.
From the information given:
- Mean = 40
- Standard deviation = 5
To determine the probability that a randomly selected x-value is in the given interval:



![\mathbf{P(35 < x < 45) = P[Z\le 1] -P[Z\le -1]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2835%20%3C%20x%20%3C%2045%29%20%3D%20P%5BZ%5Cle%201%5D%20-P%5BZ%5Cle%20-1%5D%7D)
Using normal distribution table:
P(35 < x < 45) = 0.8414 - 0.1587
P(35 < x < 45) = 0.6827



![\mathbf{P(30 < x < 40) = P[Z\le0]-P[Z\le -2]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2830%20%3C%20x%20%3C%2040%29%20%3D%20P%5BZ%5Cle0%5D-P%5BZ%5Cle%20-2%5D%7D)
Using normal distribution table:
P(30 < x < 40) = 0.5 - 0.02275
P(30 < x < 40) = 0.47725
Learn more about the probability of a normal distribution here:
brainly.com/question/4079902
#SPJ1
Answer:
15
Step-by-step explanation: