Step-by-step explanation:
The river is 1000 m wide, and the boat moves at 3 m/s, so the time it takes to cross the river is:
t = (1000 m) / (3 m/s)
t = 333.3 s
The river flows at 2 m/s, so by the time he reaches the other bank, he drifts downstream a distance of:
d = (2 m/s) (333.3 s)
d = 666.7 m
Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
According to the given question.
Tobi scored 145 marks on an iq test.
⇒ x = 145
Mean, μ = 100
Standard deviation, σ = 15
As we know that,
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
And it is calculated by formula
Z = x -μ/σ
Where,
Z is a Z-score
μ is mean
x is the observed value
Therefore,
The Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15
= 145 - 100/15
= 3
Hence,Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
Find out more information about Z-score here:
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Answer:
2/3(3/4x-3/2) = 1/2x-1
(2x+1) - (x+3/2) = x - 1/2
Step-by-step explanation:
1) Distribute 2/3 to both 3/4x and -3/2
2/3(3/4x) = 6/12x which can be simplified as 1/2x
2/3(-3/2) = -6/6 which simplifies to -1
2/3(3/4x-3/2) = 1/2x-1
2) (2x+1) - (x+3/2) combine like terms
2x-x = x
1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)
1- 1 1/2 = -1/2, so
(2x+1) - (x+3/2) = x - 1/2
Answer:hope you like it
Step-by-step explanation:basic pencil and a4 sheet of paper
Answer: 9 1/3
Step-by-step explanation: There are four of them and, assuming there is no space in between them, they all take up the same amount of space. So that means, if they were added up, it’d be 2 1/3 +2 1/3 + 2 1/3 +2 1/3. That can be simplified to 4 x (2 + 1/3). When multiplied, it equals 8 + 4/3=8 + 1 +1/3=9 + 1/3=9 1/3.
