She can give 7.29 ft or 7.3 ft of yarn to her 17 students given that the total measurement of the yarn is 124 ft.
solution:
124ft/17students - the operation used is division, dived 124ft w/c is the measurement of the yarn by 17 students.
7.294117647058824 - simplify the answer by rounding it off, at least one or two decimal points; making it 7.29 ft or 7.3ft
Answer:
114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
i hope i cleared your doubt
Answer:
a) P(k≤11) = 0.021
b) P(k>23) = 0.213
c) P(11≤k≤23) = 0.777
P(11<k<23) = 0.699
d) P(15<k<25)=0.687
Step-by-step explanation:
a) What is the probability that the number of drivers will be at most 11?
We have to calculate P(k≤11)
b) What is the probability that the number of drivers will exceed 23?
We can write this as:
c) What is the probability that the number of drivers will be between 11 and 23, inclusive? What is the probability that the number of drivers will be strictly between 11 and 23?
Between 11 and 23 inclusive:
Between 11 and 23 exclusive:
d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value?
The standard deviation is
Then, we have to calculate the probability of between 15 and 25 drivers approximately.
The solution to the given system of equation is (3, 3, 3)
<h3>Solving system of equations</h3>
Given the following system of equation expressed as:
2x-y+5z=16
X-6у +2z=-9
3x+4y- z=32
Multiply equation 2 by 2 to have:
2x-y+5z=16
2X-12у +4z=-18
Subtract
10y+z = 34 .........4
Similarly
3X-18у +6z=-27
3x+4y- z=32
Subtract
-22y+7z = -59 ........... 5
Equate 4 and 5
10y+z = 34 .........4 * 7
-22y+7z = -59 ........... 5 * 1
_______________________
70y+7z = 238
-22y+7z = -59
Subtract
92y = 297
y = 3
Recall that
10y+z = 34
10(3) + z = 34
z = 3
Since x - 6y +2z = -9
x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3
Hence the solution to the given system of equation is (3, 3, 3)
Learn more on system of equation here: brainly.com/question/25976025
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The answer is 10 Miles per hour
I would use this proportion
60/x 30/5
60 times 5=300
300 divided by 30=10
X=10
