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Zolol [24]
1 year ago
6

Ms jenkins has a grass lawn that is 24m wide and 30m long. mr jenkins cuts the grass at a reate of 9m per minute. how long will

it take mr jenkins to cut all the grass?
Mathematics
1 answer:
Kisachek [45]1 year ago
5 0

It will take Mr. Jenkins 1 hr and 20 minutes to cut all the grass.

To know how long it will take Mr. Jenkins to cut all the grass, get the total area of the lawn and divide it by the rate Mr. Jenkins cut the grass.

The area of the lawn can be calculated using the formula for the area of a rectangle given by:

A = l x w

where l is the length and w is the width.

Using this formula, the grass lawn that is 24 m wide and 30 m long has an area of:

A = l x w

where

l = 30 m

w = 24 m

A = 30 m x 24 m

A = 720 m^2

Meanwhile, the time it will take Mr. Jenkins to cut the grass lawn with an area of 720 m^2 can be computed using the rate.

amount = rate x time

720 m^2 = 9 m^2/minute x t

t = 720 / 9

t = 80 minutes = 1 hr 20 minutes

To know more about rate, visit brainly.com/question/24950565.

#SPJ4

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Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of
Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

x=100\ with\ Probability\ \frac{40}{5000}

x=1000\ with\ Probability\ \frac{10}{5000}

Expected value is given by

E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}

E(x)=0.8+2=2.8

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3 years ago
Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more
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Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

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