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soldier1979 [14.2K]
3 years ago
8

I am standing 10 feet from a wall. I will begin to walk toward the wall and my first step is 4 feet. Each succeeding step is exa

ctly one half the distance of the prior step. So my next step would be 2 feet, then 1 foot etc. How many steps will it take me to reach the wall?
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

Never!

Step-by-step explanation:

Since each succeeding step is exactly 1/2 of the prior step, you have created an infinite geometric series that goes like 4, 2, 1, 1/2, 1/4... The formula for the sum of an infinite geometric series is a/(1-r), where a is the first term and r is the common ratio. Plugging this in, a/(1-r) = 4(1-1/2) = 4/(1/2) = 8. Therefore, you can only travel 8 feet in total and will never! reach the wall.

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Solve the following word problem by using a system of equations.
coldgirl [10]
For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:

2.25x+0.75y=30.00
x+y=18

Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.

2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30

Solving for x, we get that x=11. This satisfies answer B.

However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.

2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7

Then we plug this into both equations to see if they are true.

2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)

x+y=18
11+7=18
18=18 (This is true).

Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.

:)
4 0
3 years ago
Adam bought three laptops for his office at a total cost $1,300. The shopkeeper tried to sell Adam some upgrades and accessories
borishaifa [10]
The first is 500 the second 2 are 400
6 0
3 years ago
Read 2 more answers
g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men
Rainbow [258]

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: \hat{p} = p

The alternative hypothesis, Hₐ: \hat{p} ≠ p

The standard score, z_{\alpha /2} = 1.96

The test statistic, 'z', is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}

\hat{p} = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

Therefore,  \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

5 0
3 years ago
Please help me its due 11:00 am​
Nonamiya [84]

Answer:

(-1,8)

Step-by-step explanation:

The vertex is the point of the parabola and the point is (-1,8) in the graph.

Hope this helps

8 0
3 years ago
Read 2 more answers
Associative property 8×30​
Ilia_Sergeevich [38]

Answer:

I think you mean commutative property. 30 * 8

Step-by-step explanation:

This does not have parentheses around anything. To solve with commutative property switch the digits.

7 0
3 years ago
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