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djyliett [7]
2 years ago
8

The length of the rectangular garden is 4 meters longer than the width. If the garden area is 60 square

Mathematics
1 answer:
rusak2 [61]2 years ago
5 0

Step-by-step explanation:

Let x be the Width, and x+4 be the Length of the rectangle ; =>

Area = x*(x+4) = 60 ; =>

x^2 +4x - 60 = 0 ; Now solve the Quadratic equation using factoring to find x;

<h2>MARK ME BRAINLIEST!!</h2>
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Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com
My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2  

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

​alpha=3.014

To calculate beta we would have to use the following formula:

β=  V(X) ∧2/E(X)

β=(21.6)  ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2  

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2  

​Therefore, P(50<X<75)=P(X<75)−P(X<50)  

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

​

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0
3 years ago
The math test has 10 multiple choice questions, each with 4 answers. If Betty guesses correctly on the first 2 questions, what i
bekas [8.4K]
<span>It doesn't matter that she guessed correctly on the first two questions, guessing the third question correctly is independent of guessing any other question correctly. Therefore, the probability is one out of four, 1/4.</span>
5 0
3 years ago
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How to find the equation of a circle
Finger [1]
Hmmm lemme do the first one only

\bf \textit{equation of a circle}\\\\ &#10;(x- h)^2+(y- k)^2= r^2&#10;\qquad &#10;center~~(\stackrel{5}{ h},\stackrel{3}{ k})\qquad \qquad &#10;radius=\stackrel{2}{ r}&#10;\\\\\\&#10;(x-5)^2+(y-3)^2=2^2\implies (x-5)^2+(y-3)^2=4
4 0
3 years ago
Question 1. Use the data above to construct a 95% confidence interval for the mean class size μ. (calculate y and s to 3 decimal
snow_tiger [21]

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

A.

TRUE

B.

FALSE

C.

12

D.

9

Step-by-step explanation:

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3 years ago
On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75%, percent of the lengt
irga5000 [103]

It seems that you are trying to find the length of hair of Florencia on Tuesday.

Given that length of the hair of Florencia on Monday = h centimeters

On Tuesday, she got hair cut.

So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.

8 0
3 years ago
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