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-BARSIC- [3]
3 years ago
6

Given f(x) = 3+5x2 find f(4)

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0
The answer is 43 = f(4)
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Suppose an empty flatbed railroad car sits on a track as shown below, with a person pulling on a rope with a force of 310 Newton
Lelechka [254]

Answer:

Step-by-step explanation:

a) 310cos25 = 281 N

b) (620 - 281) / cos-18 = 356 N

3 0
3 years ago
What is the probability that a respondent chosen at random is a male or a​ female?
miv72 [106K]

Answer:

%50

Step-by-step explanation:

%50 male - %50 female

4 0
3 years ago
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeles
MA_775_DIABLO [31]

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

4 0
3 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
4 years ago
Challenge A movie theater sends out a coupon for 30% off the price of a ticket. Write an equation
BartSMP [9]

Answer:

The equation is y= 0,65 x

Step-by-step explanation:

6 0
3 years ago
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