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victus00 [196]
3 years ago
12

Rubber rabbitbrush plants display heritable variation in plant height and insect-induced gall formation. In a field study, resea

rchers investigated the relationship between plant height and gall number for the rubber rabbitbrush plants in a natural population. The researchers used the data they collected to perform a chi-square test of independence. The null hypothesis for the chi-square test was that plant height and gall number are independent. The data for the chi-square test are presented in Table 1.
Table 1. Data for the chi-square test of independence

Height Category (cm)(cm) Number of Plants with Ten or Fewer Galls Number of Plants with More than Ten Galls
0–30 34 6
31–60 22 16
61–90 14 21
91–120 10 27
The researchers calculated a chi-square value of 29.25. If there are three degrees of freedom and the significance level is p=0.05p=0.05, which of the following statements best completes the chi-square test?

The critical value is 0.05, and the null hypothesis cannot be rejected because the calculated chi-square value is greater than the critical value.

A. he critical value is 0.05, and the null hypothesis can be rejected because the calculated chi-square value is greater than the critical value.

B. The critical value is 7.82, and the null hypothesis cannot be rejected because the calculated chi-square value is greater than the critical value.

C. The critical value is 7.82, and the null hypothesis can be rejected because the calculated chi-square value is greater than the critical value.
Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:c

Step-by-step explanation:

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Tell whether the given value is a solution of the inequality. 4h > -12; h = -5
barxatty [35]

Answer:

-5 cannot be a possible solution

Step-by-step explanation:

given:

4h > -12    (divide both sides by 4)

h > (-12) / 4

h > -3

Hence all possible solutions of h must have a value greater than -3.

Since -5 is less than -3, hence -5 cannot be a possible solution

4 0
3 years ago
Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her
Art [367]

For this case we have the following equation:


y + 1 = 2 (x - 3)

That can be rewritten in the form y = mx + b

Where:


  • m is the slope of the line
  • b is the cut point

So, we have:


y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7

Where:


m = 2 is the slope


b = -7 is the cut point


Carlota has the following points:


(-1, 3) and (2, 9)


To know if the line y = 2x-7 passes through these points, we must replace them in the equation and the equality must be fulfilled. So:


Point (-1, 3):


Substituting:


3 = 2 (-1) -7\\3 = -2-7

3 = -9 It's false, equality is not met. The point (-1, 3) does not go through the line.


The equation written by Carlota is erroneous, the procedure to follow is:


Given(x1, y1) = (- 1, 3) and(x2, y2) = (2, 9), we find the slope:


m=\frac{(y2-y1)}{(x2-x1)}

m=\frac{(9-3)}{(2-(-1))}

m=\frac{6}{3}

m=2

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:


y = 2x + b

Substituting (2,9) we have:


9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is y = 2x + 5

Answer:


The correct equation of the line that passes through the given points is y = 2x + 5

Carlota's mistake was at the cutoff point


5 0
3 years ago
Supplementary? Vertical? Complementary? Acute?
liraira [26]

Answer:

A. supplementary

Step-by-step explanation:

Note the angle measurements of BOC. m∠BOC = 90°

Now note that line FC is a straight line, which makes it's measurement = 180°

Subtract 90 from 180: 180 - 90 = 90°

Both are 90°, which, when combined makes a supplementary angle.

8 0
3 years ago
How do you evaluate fuctions?
Evgen [1.6K]

Step-by-step explanation: To evaluate functions substitute the given number or expression function's variable.

6 0
3 years ago
I really need help with this problem steps
melamori03 [73]
Solve for y by setting one equation =to X after that you can substitute the equation into the other one let's set the first one in X= FORM
X-7y=10
-2x+14y=-20

Add 7y to both sides of the first equation to let x stand alone
X=7y+10
Now you can substitute x on the second equation
-2 (7y+10)+14y=-20
Distribute
-14y-20+14y=-20
Add and simplify
Us cancel out =0
-20=-20
0=0
They are the same equations you can also divide the second equation by -2 which would make it look like this
X-7y=10
-2 (x-7y=10)
Let me know if I have answered your question
5 0
3 years ago
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