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alexandr1967 [171]
3 years ago
9

Alex runs up a staircase with n steps, and can hop either 1, 2, or 3 steps at a time. Count how many possible ways the child can

run up the stairs. solution?
Mathematics
1 answer:
MArishka [77]3 years ago
8 0

Answer:

There are 4 possible ways

Step-by-step explanation:

Data provided in the question:

Alex can hop in 1 steps, 2 steps, or 3 steps at a time.

From the above data it can be concluded that at a single maximum 3 steps can be run at a time

thus,

for running 3 steps at a time from the above data, we can have

with 1 step only : {1 , 1 , 1}

with 1 step first and 2 steps : {1 , 2}

with 2 steps first and then the 1 step: {2 , 1}

and 3 steps at once : {3}

thus, we have 4 possible ways to run up the stairs keeping the above condition.

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3 years ago
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

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3 years ago
Write a situation that can be represented by the algebraic expression $3.50t
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3 years ago
Y=5/2x -4 how to graph it
Igoryamba

Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0

Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point  

Now since the slope is comprised of the "rise" over the "run" this means

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Also, because the slope is -5%2F2, this means:

rise%2Frun=-5%2F2

which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2

So starting at , go down 5 units

and to the right 2 units to get to the next point  

Now draw a line through these points to graph y=-%285%2F2%29x

So this is the graph of y=-%285%2F2%29x through the points  

Hope this helps

Please give me Brainliest

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