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Strike441 [17]
3 years ago
13

Х 1 2 3 4 Y 5 9 13 17

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0
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Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person e
VARVARA [1.3K]

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

\text{df}_{B}=k-1\\=3-1\\=2

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

<em>H</em>₀: All the means are equal.

<em>Hₐ</em>: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The <em>p</em>-value of the test is 0.00005.

<em>p</em>-value = 0.00005 < <em>α</em> = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the <em>p</em>-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

6 0
3 years ago
Carl has 200 songs on his MP3 player. Of these songs, 24 are country songs.What percent of Carl's song are country songs?
Anon25 [30]
To solve this first do 24/200 to get 0.12.

Then multiply 0.12 by 100 to get 12 percent.
8 0
3 years ago
Use the quadrant system to find the area of the polygon
AfilCa [17]

Answer:

The area of the polygon is 64 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The polygon has 5 sides and 5 vertices

- To find its area by easy way split it into two trapezoid by a horizontal

  line y = 1

- The vertices of trapezoid (1) are (-5 , 1) , (4 , 1) , (-5 , 5) , (0 , 5)

- The vertices of one of the parallel bases are (-5 , 1) , (4 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , 5) , (0 , 5)

- The length of this base = 0 - (-5) = 0 + 5 = 5 units

- The length of its height = 5 - 1 = 4 units

- The area of the trapezoid = 1/2 (b1 + b2) × h

∴ Area of trapezoid 1 = 1/2 (9 + 5) × 4 = 28 units²

- The vertices of trapezoid (2) are (4 , 1) , (-5 , 1) , (-5 , -5) , (-2 , -5)

- The vertices of one of the parallel bases are (4 , 1) , (-5 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , -5) , (-2 , -5)

- The length of this base = (-2) - (-5) = -2 + 5 = 3 units

- The length of its height = 1 - (-5) = 1 + 5 = 6 units

∴ Area of trapezoid 1 = 1/2 (9 + 3) × 6 = 36 units²

∵ Area of the polygon = Area trapezoid (1) + Area trapezoid (2)

∵ Area trapezoid (1) = 28 units²

∵ Area trapezoid (2) = 36 units²

∴ Area of polygon = 28 + 36 = 64 units²

∴ The area of the polygon is 64 units²

3 0
3 years ago
If one serving is 2/3 of a cup, and there are 10 servings in the bag, how many cups are in the bag?
8_murik_8 [283]

Answer:

6 2/3

Step-by-step explanation:

6 0
3 years ago
PART C: if DB=9 AND DC=4, find the length of segment DA. NEED HELP ASAP
Sauron [17]

Answer:

6

Step-by-step explanation:

DB/AD = AD/DC

so

AD² = DB x DC

AD² = 9 x 4

AD² = 36

AD = 6

--------

note, it can be doing if PART A you answer the pair is ∆ABD with right angle in A and ∆ADC with right angle on D

7 0
3 years ago
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