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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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Find X. <br> pls &amp; thank you :)
diamong [38]

Answer:

<u>The correct answer is D. 69</u>

Step-by-step explanation:

Let's recall that if an exterior angle has its vertex where two rays share an endpoint outside a circle, the measure of that exterior angle is found by dividing the difference between the measures of the intercepted arcs by two.

Therefore, we have:

x = (Measure of arch CD - Measure of arch BD)/2

Replacing with the real values:

x = (210 - 72)/2

x = 138/2 = 69°

<u>The correct answer is D. 69</u>

5 0
4 years ago
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


8 0
3 years ago
Of the 81 astronauts in the space program, 43 are in outer space. What is the ratio of the number of astronauts on Earth to the
erastovalidia [21]

Answer:

38:81

Step-by-step explanation:

There are a total of 81 Astronauts in the space program.

Out of these, 43 are in outer space.

We are to determine the ratio of the number of astronauts on Earth to the total number of astronauts.

Number of Astronauts on Earth = Total Number - Number in Outer Space

                                                =81-43 = 38

Therefore:

Number of astronauts on Earth : The total number of astronauts. = 38:81

3 0
3 years ago
Read 2 more answers
PLEASE HELP! (WILL GIVE BRAINILEST ANSWER)
RoseWind [281]
A) we know, all the angles in a triangle is equal to 180
So, 35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180
3x = 180 - 93
x = 87/3
x = 29

b) Now, Angle C = 3(x + 2)
C = 3(29 + 2)
C = 3(31)
C = 93

Hope this helps!
5 0
4 years ago
What is the expanded form of 43x65
bazaltina [42]
43×65=2,795 expand form = 2,000+700+90+5=7,795
8 0
3 years ago
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