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kirill115 [55]
2 years ago
5

Help on this please,

Mathematics
1 answer:
Phantasy [73]2 years ago
5 0

angle BDC is half of a parallelogram

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Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take
Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0
3 years ago
Write a quadratic equation with integer coefficients and the given numbers as solutions.
adoni [48]

Answer:

1.)  f(x) = x*x - 7x + 10

2.) f(x) = x*x - 5x

3.) f(x) = 4*x*x - 5x - 6

4.) f(x) = 6*x*x -5x + 1

Step-by-step explanation:

1.)  2 and 5     (x -2)(x - 5) = f(x)  =  x*x - 7x + 10

2.)  0 and 5     f(x) = x*(x -5) =  x*x - 5x

3.) -3/4  and 2     (x + 3/4)(x -2) = x*x - (5/4) x - 3/2,

 need integers   f(x) = 4xx - 5x - 6

4.) 1/2  and 1/3    (x - 1/2)(x - 1/3) = f(x)

 x*x  - 1/3 x  - 1/2 x +  1/6  

xx  -  5/6  x  + 1/6

6 xx - 5x  + 1

4 0
3 years ago
If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
Vedmedyk [2.9K]

Answer:

d = 1.67 miles

Step-by-step explanation:

Given that,

Speed of a person,  s=3\dfrac{1}{3}\ mph

We need to find how many miles can you walk in 30 minutes, given the  same pace.

30 minutes = 0.5 h

3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph

Speed = distance/time

d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles

So, the person will cover a distance of 1.67 miles

8 0
3 years ago
a rectangular has a perimeter of 50 centimeters if the width of the rectangular is 10 centimeters what is its length
kogti [31]
10+10=20 50-20=30/2= 15 cm for length
5 0
2 years ago
The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0
3 years ago
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