Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9 to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9 = 
= 
= 
2) Now we need to convert into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
PLEASE PLEASE PLEASE PLEASE (5'1, 5'2, 5'3, 5'4, 5'5, 5'6, 5'7, 5'8, 5'9, 5'9, 5'10, 5'11, 5'12)
Yakvenalex [24]
Answer:5
5 feet 7 inches
Step-by-step explanation:
first add all of the given together and then divide what you get by the number of terms given
(5'2+5'3+5'4+ 5'5+5'6+ 5'7+ 5'8+5'9+5'9,+5'10+5'11+5'12)/12 = 5'7 11/64 inches
then divide 11 by 64 on a calculator and then round the decimal you get to the nearest tenth which gives you the answer 5 feet 7 inches.
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
Answer:
DE = 15
DF = 23
Step-by-step explanation:
E___D___F
EF = DE + DF
38 = (3x +9) + (12x-1)
38 = 15x + 8
15x = 38 - 8
15x = 30
x = 30/15
x = 2
DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15
DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23
I hope I helped you^_^
The price was reduced by 25%
