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Strike441 [17]
4 years ago
12

An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was bac

k at his starting position. How many steps did the athlete take in the forward and backward directions?
3 steps forward and 7 steps backward

4 steps forward and 6 steps backward

5 steps forward and 5 steps backward

6 steps forward and 4 steps backward
Mathematics
1 answer:
snow_tiger [21]4 years ago
8 0
If he took 5 steps forward and then 5 steps backwards he would be at his starting position
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.) A population of values has a normal distribution with μ=27.5 and σ=71.5. You intend to draw a random sample of size n=180.
Paraphin [41]

Answer:  a) 27.5, b) 5.33.

Step-by-step explanation:

Since we have given that

\mu =27.5\\\\\sigma =71.5

and n = 180

We need to calculate the sample mean and sample standard deviation.

So, the mean of the distribution of sample means is

\mu = \mu_x=27.5

The standard deviation of the distribution of sample means is

s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{71.5}{\sqrt{180}}=5.329=5.33

Hence, a) 27.5, b) 5.33.

3 0
3 years ago
Helpeverything please urgent
Oduvanchick [21]

-  \frac{5}{12}  -  (- 3.75) =   - \frac{  5}{12}  + 3.75 =   \frac{15}{4}  -  \frac{5}{12}  =  \frac{10}{3}

3 0
3 years ago
In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and
Akimi4 [234]

Answer:

Step-by-step explanation:

8 0
3 years ago
The numerator of a fraction is 3 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 2/3.
krok68 [10]

\dfrac{x-3}{x} - initial fraction

\dfrac{x-3+1}{x+1}=\dfrac{2}{3}\\\\\dfrac{x-2}{x+1}=\dfrac{2}{3}\\\\2(x+1)=3(x-2)\\2x+2=3x-6\\x=8\\\\\dfrac{8-3}{8}=\dfrac{5}{8}

It's \dfrac{5}{8}

8 0
3 years ago
Substitute - 3 and - 6 to determine if the two expressions are equivalent.
iVinArrow [24]

Answer:

the value of both expressions when t = 3 is 33

the value of both expressions when t = 6 is 51

Step-by-step explanation:

33       33

51        51

6 0
3 years ago
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