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Masja [62]
3 years ago
14

On MOnday the escalator was not working. It took Tom 18 seconds to reach the top, climbing two steps each second. By Tuesday the

escalator had been repaired and Tom took only 12 seconds to reach the top climbing at the same rate. On Wednesday Tom decided to ride the escalator without climbing at all. How long did it take to reach the top this time?
Mathematics
1 answer:
Annette [7]3 years ago
3 0
*There are 36 steps on the elevator as it took Tom 18 seconds to reach the top of the elevator (when it wasn't working), taking 2 steps per second.(2*18=36).

*When the elevator was fixed Tom moved through it taking 2 steps per second and managed to reach its top in 12 seconds. This means that he had covered 3 steps in the space of a second while he was moving up the elevator (fixed). (36/12=3).

<em>*Knowing this information, we can come to terms with the fact that the elevator can move Tom 1 step upwards per second if he doesn't make any effort to move up the elevator while its working. As there are 36 steps on the elevator, on Wednesday it took Tom 36 seconds to reach its top.</em>
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A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i
brilliants [131]

Answer:

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 inches

Standard Deviation, σ = 2.2 inches

We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(diameters between 7.6 and 18.6 inches)

P(7.6 \leq x \leq 18.6) = P(\displaystyle\frac{7.6 - 12}{2.2} \leq z \leq \displaystyle\frac{18.6-12}{2.2}) = P(-2 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -2)\\= 0.999 - 0.023 = 0.976= 97.6\%

P(7.6 \leq x \leq 18.6) = 97.6\%

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

8 0
3 years ago
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podryga [215]
The answer it’s a. Pretty sure if not sorry
5 0
2 years ago
The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) has an equation of the form y = mx + b. F
omeli [17]

Answer:

Step-by-step explanation:

find the slope

\frac{4-8}{-5-(-3)} =\frac{-4}{-2} \\\\slope=2\\y=mx+b\\y=2x+b\\

take a coordinate to fill in

(-5,4)\\y=-5\\x=4\\-5=2(4)+b\\-5=8+b-8   -8\\-13=b\\

this means that the equation is y=2x-13

and if you add m and b

you get :-11

<u><em>I HOPE THIS HELPS</em></u>

8 0
2 years ago
Read 2 more answers
5a - 9 + a = 9
Ne4ueva [31]

Answer:

a = 3

Step-by-step explanation:

1) Simplify 5a - 9 + a to 6a - 9.

6a - 9 = 9

2) Add 9 to both sides.

6a = 9 + 9

3) Simplify 9 + 9 to 18.

6a = 18

4) Divide both sides by 6.

a =  \frac{18}{6}

5) Simplify 18/6 to 3.

a = 3

Therefor, the answer is, a = 3.

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2 years ago
Given a polynomial f(x), if (x + 7) is a factor, what else must be true?
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