MATHEMATICS HIGH SCHOOL

Andrew took 22 minutes to do 13 math problems. Kiley took 24 minutes to do 12 math problems. Which student did more problems per minute?

Answers

Answer 1
Answer:

Answer:

Kelly did more math problems.

Step-by-step explanation:

Andrew - 22/13= 1.69

Kelly - 24/12= 2
Answer 2
Answer:

Answer:

Kiley did more math problems

Step-by-step explanation:

Andrew: 22 mins x 13 problems = 286 problems

Kiley: 24 mins x 12 minutes = 288 problems

288 is greater than 286

Give Brainliest now please (jk)

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If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

(x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5

Tickets to a play cost $5 for adults and $2 for children. If 1,750 tickets were sold for a total of $7,100, how many children’s tickets were sold?Can someone explain me how to make this one step by step?

Answers

okay so you have 1750 tickets and 7100 dollars so you gotta do
 7100 divided by 5 wich gives you the amount of adult tickets which is 1420 you then have to take 1420 away from 1750 which leaves you with 330
Label adults ticket x and child's ticket y
And then use simultaneous equations

Tree pruning company A charges a one time $100 fee and $50 for each tree that they prune. Tree pruning company B charges a one time $80 fee and $60 for each tree that they prune.Let the variable t represent the amount trees pruned and c represent the cost. For how many pruned trees will the cost be the same for both companies?

Which system of equations can be used to solve this problem?

A. {c=150t
c=140t

B. {c=100−50t
c=80−60t

C.{c=100+50t
c=80+60t

D. {c=50+100t
c=60+80t

Answers

The answer to this question should be C
if you put the onetime fee as y intercept and rate as slope you will get the answer. 

A: y=50x+100
B: y=60x+80

use desmos and the intersection is when the prices become the same

Please help im so confused??
What is the surface area of the sphere below?

Answers

First required to be found would be the radius, as you already have, is 5. Then use the formula 4 \pi r ^{2} [/tex], then you would receive the answer, for that would be 314.16.
A= 4πr2= 4·π·52≈ 314.15927

The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

Answers

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

In which C_(n,x) is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_(n,x) = (n!)/(x!(n-x)!)

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that \mu = 5, \sigma = 1

This proportion is the p-value of Z when X = 6. So

Z = (X - \mu)/(\sigma)

Z = (6 - 5)/(1)

Z = 1

Z = 1 has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that p = 0.8413

5 are chosen:

This means that n = 5

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 5) = C_(5,5).(0.8413)^(5).(0.1587)^(0) = 0.4215

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 3) = C_(5,3).(0.8413)^(3).(0.1587)^(2) = 0.15

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Please can someone help me out? am getting different answers thanks

Answers

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