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lana [24]
3 years ago
12

A survey reported that 70% of those responding to a national survey of college freshmen were interested in taking summer courses

. Using the sample size of 49, calculate a 95% confidence interval for the proportion of college students who are interested in taking summer courses.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

95% confidence interval: (0.5717,0.8283)          

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 49

p = 70% = 0.7

Alpha, α = 0.05

The confidence interval can be calculated as:

p \pm z_{critical}\sqrt{\dfrac{p(1-p)}{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

0.7 \pm 1.96(\sqrt{\dfrac{0.7(1-0.7)}{49}} ) = 0.7 \pm 0.1283 =(0.5717,0.8283)

95% confidence interval: (0.5717,0.8283)      

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A manufacturing company has the following fixed monthly costs and unit variable costs: Rent = $2,200 Utilities = $375 Variable c
valentinak56 [21]

A manufacturing company has the following fixed monthly costs and unit variable costs:

Rent = $2,200

Utilities = $375

Variable costs for materials and assembly = $13.25/unit

Monthly labor = $750

Given is the product is sold at $24.99 per unit

Let the number of units sold be x

Adding total cost = 2200+375+750=3325

Equation becomes:

3325+13.25x=24.99x

11.74x=3325

x= 283.21

So, rounding it to nearest whole number we get, 283 units.

3 0
3 years ago
Using the Associative Property which expression is equivalent to (2+x)+4=
Anna35 [415]

Answer:

x+6

Step-by-step explanation:

The given expression is (2+x)+4.

The associative property is :

(a+b)+c= a+(b+c)

Here,

a = 2, b = x and c = 4

So,

(2+x)+4 = 2+(x+4)

= x+6

So, the equivalent expression is x+6.

6 0
3 years ago
Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)
laiz [17]

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph.  Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into  y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or  9 = a.  With a known, we can write the desired equation:

y - 12 = 9(x - 4)

8 0
3 years ago
HELP!!! Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square
KiRa [710]
An inscribed regular hexagon divides
the circle in six equal segments, while an
inscribed square divides the circle in four
equal segments.
An inscribed regular hexagon divides
the circle into isosceles triangles, while an
inscribed square divides the circle into right-
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4 0
2 years ago
One positive number is the square of another positive number. their sum is 132. find the numbers.
Jet001 [13]
X +x²= 132
x +x²-132= 132-132
x²+x -132 = 0
(x-11) (x+12) = 0
x-11 = 0 X+12=0
x-11+11 = 0+11 X+12-12=0-12
x =11 x= -12

Check
x +x²= 132 x +x²= 132
-12 +-12²= 132 11 +11²= 132
-12 + 144 = 132 11+ 121=132
132= 132 132=132

Since the problem says positive the answer is (11,121)
8 0
2 years ago
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