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Rainbow [258]
3 years ago
12

The seats at a football stadium are on a slope with gradient of 1/2. What is the height of the bottom seats?

Mathematics
2 answers:
pochemuha3 years ago
6 0

Answer:

ANS IS 2m

Step-by-step explanation:

we can solve it by using coordinate geometry

adelina 88 [10]3 years ago
6 0

Answer:

Height of the bottom seats is 2 meter.

Step-by-step explanation:

It has been given in the question seats are located on a slope having gradient \frac{1}{2}

We have to find the height h of the bottom seats.

Since gradient = tan\theta=\frac{1}{2}

Therefore, from the figure attached,

tan\theta =\frac{(12-h)}{20}

\frac{1}{2}=\frac{(12-h)}{20}

12 - h = \frac{20}{2}

12 - h = 10

h = 12 - 10

h = 2 m

Therefore, height of the bottom seats if 2 m.

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Matthew would get 60% of the profit because the lemonade stand was his idea they made a profit of $25 how much did Matthew make
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25*0.6 = 15, he would get 15 dollars



4 0
4 years ago
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Which of the following represents the approximate circumference of a circle with a diameter of 5.8 ft? A. 9.106 ft C. 18.212 ft
mario62 [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec
o-na [289]

Answer:

(a) The probability of the event (<em>X</em> > 84) is 0.007.

(b) The probability of the event (<em>X</em> < 64) is 0.483.

Step-by-step explanation:

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...

(a)

Compute the probability of the event (<em>X</em> > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

                =1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007

Thus, the probability of the event (<em>X</em> > 84) is 0.007.

(b)

Compute the probability of the event (<em>X</em> < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

                =\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483

Thus, the probability of the event (<em>X</em> < 64) is 0.483.

5 0
3 years ago
How do you solve a+(a+1)+(a+2)=48 step by step???
Tcecarenko [31]
Start with parenthesis first.
so a+a+2a+48
Then add all like terms.
4a=48
Then solve for a by dividing 4 from 48.
a=12
8 0
4 years ago
Given the following figure. Which of the following is congruent with the figure above
tigry1 [53]
F and E are congruent with the figure above
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3 years ago
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