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3 years ago

Is 7.525225222....... rational or irrational ?

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

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The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi

Eva8 [605]

Answer:

a) Z-score = 0.75

b) Z-score = -32.833

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

Step(ii):-

$Z = \frac{x-mean}{S.D}$

$Z = \frac{42-33}{12} = 0.75$

Step(iii):-

Given that mean of the Population = 89

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{82-89}{\frac{1}{\sqrt{22} } } = -32.833$

Z-score = -32.833

7 0

2 years ago

A small theater had 6 rows of 26 chairs each. An extra 9 chairs have just been brought in. How many chairs are in the theater no

Andrej [43]

Answer:165

Step-by-step explanation:

6•26 = 156. 156+9=165

6 0

2 years ago

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The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the pre

lana66690 [7]

Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

7 0

2 years ago

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Twin brothers, Billy and Bobby, kid mother grandparents lawn together for 60 minutes. Billy could mow the lawn by himself in 20

Dovator [93]

Answer:

Bobby around 131 minutes and Billy around 111 minutes

Step-by-step explanation:

To solve the problem it is important to raise equations regarding what happens.

They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:

1 / Bo + 1 / Bi = 1/60 (1)

They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore

1 / Bi = 1 / (Bo-20) (2)

Replacing (2) in (1) we have:

1 / Bo + 1 / (Bo-20) = 1/60

Resolving

(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60

120 * Bo - 1200 = Bo ^ 2 - 20Bo

Rearranging:

Bo ^ 2 - 140Bo -1200 = 0

Now applying the general equation

Bo = 130.82 or Bo = 9.17, this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together, therefore Bobby only takes around 131 minutes and Billy around 111 minutes

Checking with equation 1:

1/131 +1/111 = ~ 1/60

3 0

3 years ago

Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.2 centimeters (

MAVERICK [17]

Answer:

The interval [32.6 cm, 45.8 cm]

Step-by-step explanation:

According with the 68–95–99.7 rule for the Normal distribution: If $\large \bar x$ is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval

$\large [\bar x - s, \bar x +s]$

around 95% of the data must fall in the interval

$\large [\bar x -2s, \bar x +2s]$

around 99.7% of the data must fall in the interval

$\large [\bar x -3s, \bar x +3s]$

So, the range of lengths that covers almost all the data (99.7%) is the interval

[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]

This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%

3 0

2 years ago