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nekit [7.7K]
2 years ago
7

Simplify: -2/5 + 4/3

Mathematics
2 answers:
hoa [83]2 years ago
7 0

Answer:

14/15

Step-by-step explanation:

1. Convert the fractions to have the same denominator

Remember that you can only add fractions with the same denominator

To find the common denominator, find the LCM of 5 and 3 which is 15.

-2/5 * 3/3 = -6/15 and 4/3 * 5/5 = 20/15

-6/15 + 20/15 = 14/15

hope this helps! <3

Artist 52 [7]2 years ago
4 0

Answer:14/15

Step-by-step explanation:

Find a like denominator of 15, and then add them normally.

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Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immedia
Hatshy [7]

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

y"  = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

8 0
3 years ago
Is x = 7 a solution to the equation 3x - 4 = 15? No Yes
Elis [28]

Answer:

No, because 3 x 7 = 21 - 4 = 17

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What facts are required in order to conclude that m∠ADE = m∠ABC?
mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

3 0
3 years ago
A measurement template with a historcal value of 25.500 is measured 27 times and a mean value of 25.301 is recorded. What is the
QveST [7]

Complete Question

A measurement template with a historical value of 25.500 mm is measured 27 times and a mean value of 25.301 mm is recorded. What is the percent bias when the tolerance is +/- 0.3?

Answer:

The percent bias is  B = 33.167 \%  

Step-by-step explanation:

From the question we are told that

   The historical value  is  S = 25.00 \ mm

   The number of times it is measured is  n  =  7  

    The mean value is  \= x = \frac{\sum x_i }{n} = 25.301 \ mm

    The tolerance is  t =\pm 0.3 = 0.3 - (-0.3) = 0.6

Generally the percent bias is mathematically represented as

      B = 100 * \frac{\= x - \tau }{ t}

=>  B = 100 * \frac{25.301 - 25.5000 }{0.6}

=>  B = 33.167 \%  

3 0
3 years ago
Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.
lbvjy [14]

Answer: ∠1 = 109°    ∠2 = 71°

<u>Step-by-step explanation:</u>

If the two angles form a linear pair, then their sum is 180°

  ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

              8x + 20  = 180

              8x          = 160

                x          = 20

∠1 = 5x + 9

    = 5(20) + 9

    = 100   + 9

    = 109

∠2 = 3x + 11

     = 3(20) + 11

     =    60  + 11

     =         71

  <u> CHECK:</u>

∠1   + ∠2 = 180°

109° + 71° = 180°

     180°   = 180°  \checkmark

7 0
3 years ago
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