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vfiekz [6]
3 years ago
9

Solve the system using the addition method. 6x - 2y = 3 2x + 3y = -5

Mathematics
1 answer:
katrin [286]3 years ago
8 0
8x + y = - 2
suppose to you want the y-intercept
y = -8x - 2
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The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard
user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that \mu = 80, \sigma = 6

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

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

1.96 = \frac{X - 80}{6}

X - 80 = 6*1.96

X = 91.76

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3 0
2 years ago
Logan's e-reader sent a notification saying that he has completed 75% of the e-book.
Vika [28.1K]

Answer:

The total number of pages in the e-book is 240.

Step-by-step explanation:

Given:

Logan has completed 75%

Logan has read 180 pages

To Find:

The total number of pages in the e-book= ?

Solution:

Let X be the total number of pages on the e-book

then

=> 75% of X = 180

Now lets find the value of X

X = \frac{180}{75\%}

X = \frac{180}{\frac{75}{100}}

X = \frac{180}{0.75}

X = 240

5 0
3 years ago
Given that √3  = 1.7321 , find correct to 3 places of decimals , the value of √192 - 1 / 2√48 - √75​
Flauer [41]

Step-by-step explanation:

the value of root three is given already so the question is asking you to round it of to the nearest 1000 which means there should be three numbers after the decimal point.

3 0
2 years ago
A point P moves such that it is three units from the point (3, 4). Obtain the
Softa [21]
The right answer is y=-3
4 0
3 years ago
Read 2 more answers
Help asap please :(<br><br> Find the surface area of the composite figure.
Liono4ka [1.6K]

Answer:

136 in²

Step-by-step explanation:

8x2=16

6x2=12

6x2=12

6x2=12

10x2=20

10x2=20

10x2=20

8x2=16

2x2=4

2x2=4

136 in²

8 0
2 years ago
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