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Nana76 [90]
3 years ago
11

The sum of 57 and a number b

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
57 + b
this is how you would write the expression
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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach
nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be 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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that \mu = 130, \sigma = 30

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

0.675 = \frac{X - 130}{30}

X - 130 = 0.675*30

X = 150.25

A score of 150.25 is necessary to reach the 75th percentile.

7 0
3 years ago
A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from
zhannawk [14.2K]

9514 1404 393

Answer:

  (b)  112.2 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

For the given geometry, this becomes ...

  tan(65°) = (height above eye level)/(50 ft)

Then we have ...

  (height above eye level) = (50 ft)tan(65°) = 107.2 ft

Adding the height of eye level will give us the height of the building.

  building height = (eye level height) + (height above eye level)

  building height = (5 ft) + (107.2 ft)

  building height = 112.2 ft

6 0
2 years ago
Es urjente
aleksklad [387]

Answer:

Espera espera espera.......

primer miembro es el independiente

incógnitas es la letra literal x b y c m

coeficiente es el resultado de la división

terminos independientes son aquellos los que no tienen cualquier letra 18 16 8

Step-by-step explanation:

espero que ayude

5 0
3 years ago
6v+12b=504<br> 2v+5b=204
ss7ja [257]

Answer:

Step-by-step explanation:

6v + 12b = 504       eq1

2v +  5b = 204        eq2

6v +  15b = 612       eq2  times 3    

0     -3b   = 504 - 612        subtraction of the two bolded eqs

         -3b  =  -108                solve for b

            b  =    36

    Another way to solve the problem

6v + 12b = 504        I would eliminate the v term by multiplying the bottom

2v +  5b = 204        equation by -3 on BOTH sides and then add the two eqs

   2v +  5b  = 204

-3(2v +  5b) = -3(204)

 -6v  -  15b  =  -612

   

6v  + 12b  =   504

-6v  -  15b  =  -612            add the like terms

(6v + (-6v)) + (12b + (-15b)  =  504 + (-612)

(6v -6v)) + (12b - 15b)  =  504 - 612)

    0       +         -3b     =    - 108            solve for b   divide both sides by -3

                           b   =  -108/-3

                             b =  36                  

use eq   2v +  5b = 204       to solve for v       and knowing b = 36

        2v +  5b = 204      b=36

        2v +  5(36)  = 204                 substract 5 times 36 from both sides

                 2v   =   204 - 180

                    v  =    24 / 2

                    v  =  12

NOW CHECK the values for b and v using the OTHER eq

       6v      +     12b      =    504

       6(12)   +   12(36)    =    504

         72    +     432      =    504

                        504      =    504           IT CHECKS

4 0
3 years ago
A flowchart proof
Whitepunk [10]

Answer: uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

A flowchart proof is a visual representation that is made of boxes with which arrows are used to show the flow of steps which take place. It uses a visual representation of the logical flow of steps needed to reach a conclusion.

The true facts which are the statements, will be placed in the boxes that are drawn. The arrows in flowchart proof shows the progression of statements made.

4 0
3 years ago
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