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2 years ago

An envelope is 5 cm longer than it is wide. The area is 104 cm squared. Find the length and the width.

Mathematics

1 answer:

puteri [66]2 years ago

3 0

Answer:

8 x 13 = 104 cm squared. So the envolope is 8 cm by 13 cm

Step-by-step explanation:

8 x 13 is 104 and 13 is 5 more then 8. Hope this helps. Have a great day!

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If mLABC = (2x + 4)º, m_DEF= (3x – 5)°, and ABC and

Harrizon [31]

Answer:

-5x-1

Step-by-step explanation:

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2 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

3 years ago

PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE H

jok3333 [9.3K]

D) 7 8/9 gallons

hope this helps

3 0

3 years ago

Read 2 more answers

Jayla recently accepted a new job earning $15.50 per hour. Last month, Jayla earned $2294 after four weeks of work. How many hou

Alona [7]

15.50h = 2294
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5 0

3 years ago

HELPPP ASAPPP

kakasveta [241]

Answer:

Option C (The mean would decrease).

Step-by-step explanation:

In this question, there are 16 observations and their mean is 80. There is an outlier which has the value 91. This means that the outlier is on the greater side of the mean. The formula for mean is:

Mean = Sum of observations/Number of Observations.

Sum of observations can be calculated by substituting the values in the above formula.

80 = Sum/16.

Sum = 80*16 = 1280.

Subtracting 91 from the total sum will give the sum of rest of the 15 non-outlier values. Therefore 1280 - 91 = 1189.

Calculating the mean of the 15 values:

Mean = 1189/15 = 79.267 (correct to 3 decimal places).

It can be seen that removing the outlier decreases the mean. Therefore C is the correct answer. The information regarding the median cannot be determined since actual values are not present, which are required to calculate the median. Therefore, C is the correct choice!!!

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3 years ago

Read 2 more answers