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3 years ago

The sum of three consecutive integers is 162 . What are the integers?

Mathematics

2 answers:

Ksivusya [100]3 years ago

6 0

Answer:

53 54 55

Step-by-step explanation:

Consecutive Integers are integers that go one after the other unless explained otherwise, so 53, 54 and 55 add up to 162.

Blababa [14]3 years ago

4 0

ANSWER 

X=52

x+2=54

x+4=56

these are the three consecutive integers

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How are the following three expressions different from each other, if indeed they are? do not just state the value of each but e

Lisa [10]

Answer:

Below.

Step-by-step explanation:

Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.

The other 2 have negative values and -2 = -(2) so they have the same value, -4.

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3 years ago

An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with

Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 36, \sigma = 4.9$

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 36}{4.9}$

$Z = -0.2$

$Z = -0.2$ has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

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3 years ago

Write an equation of the circle with center (3, -6) and radius 5.

lesya692 [45]

Answer:

formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3)^2 + (y-(-6))^2 = r^2

2. Plug in radius value

(x-3)^2 + (y-(-6))^2 = 5^2

3. Simplify:

(x-3)^2 + (y+6)^2 = 25

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3 years ago

Read 2 more answers

Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro

uysha [10]

Answer:

1. As a fraction: 9/50

2. As a proportion: x/1 = 9/50

3. As a percentage: 18%

Explanation:

1. As a fraction:

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

Probability = 9 / 50

2. As a proportion:

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

x / 1 = 9 / 50

Where x is the probability.

3. As a percentage

You just have to multiply the probability by 100:

(9/50) × 100 = 18%

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3 years ago

Ad.

Serggg [28]

Answer:

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Step-by-step explanation:

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3 years ago

The sum of three consecutive integers is 162 . What are the​ integers?

The sum of three consecutive integers is 162 . What are the integers?