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Vinil7 [7]
3 years ago
11

A line contains points M(1,3) and N(5,0). what is the slope of MN

Mathematics
1 answer:
garri49 [273]3 years ago
8 0
-3/4 or it could also be -0.75
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Help help help pls pls pls
alex41 [277]

Answer: 14.48000 . . . ≤ t < 15.0000

Step-by-step explanation:

"Truncated by a hundreths of a second" means that the time was rounded to the nearest 0.0X second.  That would mean the reported time of 14.48 seconds was shortened from a time period having more digits to the right.  For example, If the time were actually 14.48223 seconds, the time was truncated to just 14.48 seconds.  The term used here. truncated, means that the digits after the hunredth place are simply dropped.  It doesn't say rounded, just truncated.  Brutal.  So that would mean that times between 14.48000 . . . and 14.48999 . . . would all be reported as 14.48 seconds.

So the time could actually be 14.48000 . . . ≤ t < 15.0000

3 0
2 years ago
JK Rowling is autographing some of the new Harry Potter books. A store sells 56 books and she is able to autograph 5/8 of the bo
OlgaM077 [116]

Answer:

35 books

Step-by-step explanation:

56/8 = 7

7 x 5 = 35

5/8 of 56 = 35

5 0
3 years ago
The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
Natasha_Volkova [10]

Answer:

Step 1. Between 688 and 1016mm. Step 2. Less than 688mm.

Step-by-step explanation:

The <em>68-95-99.7 rule </em>roughly states that in a <em>normal distribution</em> 68%, 95% and 99.7% of the values lie within one, two and three standard deviation(s) around the mean. The z-scores <em>represent values from the mean</em> in a <em>standard normal distribution</em>, and they are transformed values from which we can obtain any probability for any normal distribution. This transformation is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

\\ \mu\;is\;the\;population\;mean

\\ \sigma\;is\;the\;population\;standard\;deviation

And <em>x</em> is any value which can be transformed to a z-value.

Then, z = 1 and z = -1 represent values for <em>one standard deviation</em> above and below the mean, respectively; values of z = 2 and z =-2, represent values for two standard deviations above and below the mean, respectively and so on.

Because of the 68-95-99.7 rule, we know that approximately 95% of the values for a normal distribution lie between z = -2 and z = 2, that is, two standard deviations below and above the mean as remarked before.

<h3>Step 1: Between what values do the monsoon rains fall in 95% of all years?</h3>

Having all this information above and using equation (1):

\\ z = \frac{x - \mu}{\sigma}  

For z = -2:

\\ -2 = \frac{x - 852}{82}

\\ -2*82 + 852 = x

\\ x_{below} = 688mm

For z = 2:

\\ 2 = \frac{x - 852}{82}

\\ 2*82 = x - 852

\\ 2*82 + 852 = x

\\ x_{above} = 1016mm

Thus, the values for the monsoon rains fall between 688mm and 1016mm for approximately 95% of all years.

<h3>Step 2: How small are the monsoon rains in the driest 2.5% of all years?</h3>

The <em>driest of all years</em> means those with small monsoon rains compare to those with high values for precipitations. The smallest values are below the mean and at the left part of the normal distribution.

As you can see, in the previous question we found that about 95% of the values are between 688mm and 1016mm. The rest of the values represent 5% of the total area of the normal distribution. But, since the normal distribution is <em>symmetrical</em>, one half of the 5% (2.5%) of the remaining values are below the mean, and the other half of the 5% (2.5%) of the remaining values are above the mean. Those represent the smallest 2.5% and the greatest 2.5% values for the normally distributed data corresponding to the monsoon rains.

As a consequence, the value <em>x </em>for the smallest 2.5% of the data is precisely the same at z = -2 (a distance of two standard deviations from the mean), since the symmetry of the normal distribution permits that from the remaining 5%, half of them lie below the mean and the other half above the mean (as we explained in the previous paragraph). We already know that this value is <em>x</em> = 688mm and the smallest monsoons rains of all year are <em>less than this value of x = </em><em>688mm</em>, representing the smallest 2.5% of values of the normally distributed data.

The graph below shows these values. The shaded area are 95% of the values, and below 688mm lie the 2.5% of the smallest values.

3 0
3 years ago
I need help!! Answer Plzz!!
Nookie1986 [14]

Answer:

62 degrees

Step-by-step explanation:

the inside angles of a triangle always equal 180 degrees when added, so i just subtracted 56 and 62 from 180, also, the triangle is isosceles, which has 2 angles of equal value, so the unknown angle had to be equal to 62

5 0
3 years ago
Read 2 more answers
−3(y+5)=15 someone please help me with this question my assignment is already late
AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0
2 years ago
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