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3 years ago

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The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurri

ng? a.Likely b.Certain c.Unlikely d.Impossible

1 answer:

malfutka [58]3 years ago

3 0

A is your answer! 7/8 is very likely, but not certain. There is a 12.5 % chance that it can occur. I hope I helped!

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A rectangle warehouse will have 5000 square feet of floor space and will be separated into two rectangular rooms by an interior

Alex Ar [27]

Answer:

x = 59.4 ft

y = 84.18ft

Step-by-step explanation:

The cost of exterior walls is $150 per linear foot.

The cost of interior walls is $100 per linear foot.

xy = 5000

y = 5000/x

For the exterior walls, we have 2(x+y)(120)

For the interior wall, we have 100x

The cost function = C

C = 2(x+y)(120) + 100x

C= 240(x+y) + 100x

= 240x + 240y + 100x

= 340x + 240y

Recall that y = 5000/x

C = 340x + 240(5000/x)

C = 340x + 1200000/x

Differentiate C with respect to x

C'(x) = 340 - 1200000/x^2

= (340x^2 -1200000) / x^2

To minimize cost C'(x) = 0

(340x^2 -1200000) / x^2 = 0

340x^2 -1200000 = 0

340x^2 = 1200000

x^2 = 1200000/340

x = √1200000/340

x = 59.4 ft

Recall that y = 5000/x

y = 5000/59.4

y = 84.18 ft

4 0

3 years ago

I need help rn pls !!!!

Verdich [7]

Answer:

ano ba need mo? tulongan kita

6 0

3 years ago

Read 2 more answers

Find the nth term of the sequence 7,25,51,85,127

olya-2409 [2.1K]

Let <em>a </em>(<em>n</em>) denote the <em>n</em>-th term of the given sequence.

Check the forward differences, and denote the <em>n</em>-th difference by <em>b </em>(<em>n</em>). That is,

<em>b </em>(<em>n</em>) = <em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>)

These so-called first differences are

<em>b</em> (1) = <em>a</em> (2) - <em>a</em> (1) = 25 - 7 = 18

<em>b</em> (2) = <em>a</em> (3) - <em>a</em> (2) = 51 - 25 = 26

<em>b </em>(3) = <em>a</em> (4) - <em>a</em> (3) = 85 - 51 = 34

<em>b</em> (4) = <em>a </em>(5) - <em>a</em> (4) = 127 - 85 = 42

Now consider this sequence of differences,

18, 26, 34, 42, …

and notice that the difference between consecutive terms in this sequence <em>b</em> is 8:

26 - 18 = 8

34 - 26 = 8

42 - 34 = 8

and so on. This means <em>b</em> is an arithmetic sequence, and in particular follows the rule

<em>b</em> (<em>n</em>) = 18 + 8 (<em>n</em> - 1) = 8<em>n</em> + 10

for <em>n</em> ≥ 1.

So we have

<em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>) = 8<em>n</em> + 10

or, replacing <em>n</em> + 1 with <em>n</em>,

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8 (<em>n</em> - 1) + 10

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8<em>n</em> + 2

We can solve for <em>a</em> (<em>n</em>) by iteratively substituting:

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 2) + 8 (<em>n</em> - 1) + 2] + 8<em>n</em> + 2

<em>a</em> (<em>n</em>) = <em>a </em>(<em>n</em> - 2) + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> - 2) + 2] + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> + (<em>n</em> - 1) + (<em>n</em> - 2)) + 3×2

and so on. The pattern should be clear; we end up with

<em>a</em> (<em>n</em>) = <em>a</em> (1) + 8 (<em>n</em> + (<em>n</em> - 1) + … + 3 + 2) + (<em>n</em> - 1)×2

The middle group is the sum,

$\displaystyle 8\sum_{k=2}^nk=8\sum_{k=1}^nk-8=\frac{8n(n+1)}2-8=4n^2+4n-8$

so that

<em>a</em> (<em>n</em>) = <em>a</em> (1) + (4<em>n</em> ² + 4<em>n</em> - 8) + 2 (<em>n</em> - 1)

<em>a</em> (<em>n</em>) = 4<em>n</em> ² + 6<em>n</em> - 3

4 0

4 years ago

a girl wants to count the steps of a moving escalator which is going up. if she is going up on it, she counts 60 steps. if she i

Leto [7]

Let

x--------> the speed of the girl in step

y--------> the speed of the escalator in step

d------> the distance between ground and floor.

we know that

$speed=\frac{distance}{time} \\ \\ time=\frac{distance}{speed}$

when the girl is going up on escalator

$x-y=\frac{d}{60}$ ----> equation $1$

when the girl is going down on escalator

$x+y=\frac{d}{90}$ -------> equation $2$

Adds equation $1$ and equation $2$

$2x=\frac{d}{60} +\frac{d}{90} \\ \\ 2x=\frac{5}{180} d$

$x=\frac{5}{360}d$ --------> equation $3$

Time to climb (in step) with y=0 (escalator standing still)

$x*t=d\\\\ t=\frac{d}{x}$ -----> equation $4$

Substitute equation $3$ in equation $4$

$t=\frac{d}{\frac{5d}{360}} \\ \\ t=\frac{360}{5} \\ \\ t=72 steps$

therefore

the answer is

$72 steps$

5 0

3 years ago

Read 2 more answers

Joseph had 7 1/4 ounces of candy to share with his friends. He gave them 2 4/5 ounces of candy when they came over to play video

lora16 [44]

The answer is 6 and 19/20

8 0

3 years ago