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goldfiish [28.3K]
3 years ago
13

Determine the equation of the line passing through the points (4,1) (9, -1)

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0
This is my work I hope it helps the equation is
y=-2/5x+13/5

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You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether t
antiseptic1488 [7]

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

7 0
2 years ago
1. Consider the function f(x) = 5x^3 - 31x^2 - 129x + 27
NeX [460]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1.- f(x) = 5x³ - 31x² - 129x + 27

a) f(9) = 5(9)³ - 31(9)² - 129(9) + 27

   f(9) = 5(729) - 31(81) - 1161 + 27

   f(9) = 3645 - 2511 - 1161 + 27

   f(9) = 0

b.- I will use synthetic division

                        5   - 31  -129  + 27       9

                               45   126  -27                            

                        5     14     -3       0

    Trinomial = 5x² + 14x - 3

Factor               5x² + 15x - 1x - 3

                        5x(x + 3) - 1(x + 3)

b)                           (x + 3)(5x - 1)

                       x₂ + 3 = 0          5x₃ - 1 = 0

                       x₂ = -3                 x₃ = 1/5

c) The roots are x₁ = 9, x₂ = -3 and x₃ = 1/5

2.-  f(x) = 3x² + 2x - 8      factor = 3x - 4

                                     x    + 2

                       3x - 4    3x² + 2x - 8

                                   -3x² + 4x

                                     0    +6x - 8

                                           -6x  + 8

                                                      0  Remainder

As the remainder was "0", 3x - 4 is a factor of 3x² + 2x - 8

3 0
3 years ago
Solve the following and show all work: √8x+1=x+2
BlackZzzverrR [31]

Answer:

x= 3, 1

Step-by-step explanation:

7 0
2 years ago
Help please <br> Show work if you can
grin007 [14]

Answer:

answer is 350 square cm sry can't give explanation

Step-by-step explanation:

8 0
2 years ago
If ar2 + br + c = 0 has equal roots r1, show that L[ert] = a(ert)" + b(crt)' + cert = a(r - r1 )2er1. Since the right side of is
bezimeni [28]

Answer:

Solution is in the following attachment.

                   

Step-by-step explanation:

8 0
3 years ago
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