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Bess [88]
2 years ago
9

At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students wa

s taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Mathematics
1 answer:
77julia77 [94]2 years ago
6 0

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

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The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what ra
Vera_Pavlovna [14]
We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
3 0
3 years ago
Read 2 more answers
Find the exact value of tan A in simplest radical form.<br> PLEASE HELP
Tju [1.3M]

Answer:

\tan(A)  =  \frac{opp}{adj}  \\  \tan(A)  =  \frac{ \sqrt{72} }{3}  \\  \tan(A)  =  \frac{ \sqrt{36 \times 2} }{3}  \\  \tan(A)  =  \frac{6 \sqrt{2} }{3}  \\  \tan(A)  = 2 \sqrt{2}

3 0
2 years ago
Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into t
Afina-wow [57]

Answer:

<h2>x = -2+i√5 and  -2i-√5</h2>

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c = 0

Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;

ax² = x²

a = 1

bx = 4x

b = 4

c = 9

The quadratic formula is given as x = -b±√(b²-4ac)/2a

Substituting the constant;

x = -4±√(4²-4(1)(9))/2(1)

x = -4 ±√(16-36)/2

x = -4±√-20/2

x = -4±(√-1*√20)/2

Note that √-1 = i

x = -4±(i√4*5)/2

x = (-4±i2√5)/2

x = -4/2±i2√5/2

x = -2±i√5

The solution to the quadratic equation are  -2+i√5 and  -2i-√5

5 0
3 years ago
PLS HELP ASAP!! ALGEBRA 9!!<br> 4.29-x+36=102-2.52x+2
Andrei [34K]

Answer:

  x = 29

Step-by-step explanation:

If the equation is :

4.2(9-x)+36=102-2.5(2x+2)

→distribute 4.2 and -2.5 in parenthesis

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

→  have terms with x = terms without x

Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

 - 4.2x  +5 x  = - 37.8 - 36 + 102 - 5

→ Combine like terms

             0.8x  = 23.2

→ Divide both sides by 0.8

                    x = 29

                   

4 0
2 years ago
X + 4/5 =11 whats the value of x in simplest form
Tresset [83]
X= 11-4/5
x= 51/5 or 10.2
8 0
3 years ago
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