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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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Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
2 years ago
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers
Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

y=ax+b

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

The regression equation representing the relationship between hours of TV watched per day (<em>x</em>) and number of sit ups a person can do (<em>y</em>) is:

y=-0.74x+36.359

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

y=-0.74x+36.359

  =(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0
3 years ago
¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
skelet666 [1.2K]

Answer:

A0.15

Step-by-step explanation:

7 0
3 years ago
3/2 divided by 1 1/2 and simplified<br> please try to explain how
valkas [14]

Answer:

1

Step-by-step explanation:

If you convert it to a decimal both fractions equal to 1.5/1.5 which makes the answer 1

8 0
2 years ago
Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than th
vampirchik [111]

Answer:

122 km/h

138 km/h

Step-by-step explanation:

distance = speed * time

One bus travels 16 km/h slower than the other

(s * 2)  + (s - 16)2 = 520

2s + 2s - 32 = 520

4s = 552

s = 552/4

s = 138 km/h

s - 16 = 122 km/h

3 0
3 years ago
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