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Phoenix [80]
4 years ago
7

The scores on an entrance exam to a university are known to have an approximately normal distribution with mean 65% and standard

Mathematics
1 answer:
marin [14]4 years ago
6 0

Answer:

-0.704 (corrected to 3 significant figures).

Step-by-step explanation:

Standardized score = (actual score - mean) / standard deviation

Standardized score = (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

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Let f(x) = x2 + 6 and g(x) = x + 8x g ( x ) = x + 8/ x . Find ( g o f)(­ -7)
nirvana33 [79]

Answer:

63/55

Step-by-step explanation:

Assuming f(x) = x^2+6 and g(x) = x + {8}{x}. Find  ( g o f)(­ -7) by substituting f into g. Then -7 into the new expression.

( g o f)(­ -7) =

\frac{(x^2+6) +8}{x^2+6} \\\\ \frac{((-7)^2+6) + 8}{(-7)^2+6} \\\\ \frac{49+6+8}{49+6}\\\\ \frac{55 + 8}{55} \\\\\frac{63}{55}

4 0
3 years ago
A three dimensional figure that has polygons as faces
Free_Kalibri [48]
 a triangular prism:):):):):)
7 0
4 years ago
What are the solutions to the systems?<br><br> y=x^2-4x-2<br> y=x-2
kirill115 [55]
<span>y=x^2-4x-2
y=x-2

x^2-4x-2=x-2\\\\x^2-4x-2-x+2=0\\\\x^2-5x=0\\\\x(x-5)=0\\\\x=0 \ or \  x-5=0

x=0 or x=5 

y = x - 2
1)
x=0
y = 0 - 2= -2
2)
x=5
y=5-2=3

Answer
x=0 , y=-2
or
x=5 , y=3</span>
6 0
3 years ago
This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
4 years ago
Read 2 more answers
Frank took a spelling test and got an 85%. If Frank got 34 questions correct, how many questions were on the test? Please be sur
Blizzard [7]

Answer:

40 questions

Step-by-step explanation:

34 / 85% = 40

40 * 85% = 34

5 0
3 years ago
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