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iogann1982 [59]
3 years ago
7

An arts academy requires there to be 5 teachers for every 125 students and 4 tutors for every 88 students. How many students doe

s the academy have per teacher? per tutor? How many tutors does the academy need if it has 81 students? Pleaseee help​
Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

25 students peer teacher, 22 students per tutor, 4 tutors for 81 students

Step-by-step explanation:

You need to find the unit rate,

for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.

Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.

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anton needs to buy 3.5 meters of cloth for their project in TLE. If 1 meter of cloth costs P35.00 how much will he spend for 3.5
ElenaW [278]

Answer:

122.5

Step-by-step explanation:

3 0
2 years ago
Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm
mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

3 0
2 years ago
The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, whi
Helga [31]

Answer:

The equation representing the value of <em>n</em> is, n=\frac{S}{180^{\text{o}}}+2.

Step-by-step explanation:

The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:

S=(n-2)\times 180^{\text{o}}

Compute the equation of <em>n</em> as follows:

   S=(n-2)\times 180^{\text{o}}

\frac{S}{180^{\text{o}}}=(n-2)

   n=\frac{S}{180^{\text{o}}}+2

Thus, the equation representing the value of <em>n</em> is, n=\frac{S}{180^{\text{o}}}+2.

3 0
3 years ago
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of si
OverLord2011 [107]

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!

a) The probability that exactly 3 arrivals occur during a particular hour is:

P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\

b) The probability that <em>at least</em> 3 people arrive during a particular hour is:

P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938

c) In this case, t=0.25, so we recalculate the parameter as:

\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

E(x)=\lambda=1.5

3 0
3 years ago
What is the ratio for the volumes of two similar spheres, given that the ratio of
barxatty [35]

Answer:

Option A

Explanation:

the ratio of radii to volume is ^3 "to the third power"

so 5^3 : 9^3 would be the ratio for volumes

125:729

5 0
3 years ago
Read 2 more answers
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