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2 years ago

Identify the population and sample in the following study:

Mathematics

1 answer:

Naya [18.7K]2 years ago

8 0

Answer and explanation:

1. pop. 418, sample:link to diet

Determin.

1. statistic, because a specific percentage s given.

2. Parameter, because there is no number given

3. Statistic, because a specific percentage in a specific population has been given.

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In the diagram below AFB is congruent to EFD if EFD = 5x + 6, DFC = 19x - 15, and EFC = 17x + 19, find AFE

yanalaym [24]

The angle m∠AFE is 128 degrees.

<h3>How to find angles?</h3>

∠AFB ≅ ∠EFD

∠EFD = 5x + 6

m∠DFC = (19x - 15)°

m∠EFC = (17x + 19)°

m∠AFE = ?

m∠AFB + m ∠EFD + m∠AFE = 180

Therefore,

5x + 6 + 5x + 6 + m∠AFE = 180

5x + 5x + 6 + 6 + m∠AFE = 180

10x + 12 + m∠AFE = 180

10x + m∠AFE = 180 - 12

10x + m∠AFE = 168

m∠AFE = 168 - 10x

m∠EFC = m ∠EFD + m∠DFC

17x + 19 = 5x + 6 + 19x - 15

17x - 5x - 19x = 6 - 15 - 19

-7x = - 28

x = 28 / 7

x = 4

Therefore,

m∠AFE = 168 - 10x

m∠AFE = 168 - 10(4)

m∠AFE = 168 - 40

m∠AFE = 128°

Therefore, the angle m∠AFE = 128°

learn more on angles here: brainly.com/question/13212279

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7 0

1 year ago

Simplify (4x-8)/(-3x)*(12)/(12-6x)

zloy xaker [14]

$\dfrac{4x-8}{-3x}\cdot\dfrac{12}{12-6x}=\dfrac{4(x-2)}{-x}\cdot\dfrac{4}{-6(x-2)}=\dfrac{4}{-x}\cdot\dfrac{4}{-6}\\\\=\dfrac{2}{-x}\cdot\dfrac{4}{-3}=\dfrac{(2)(4)}{(-x)(-3)}=\dfrac{8}{3x}$

7 0

2 years ago

Solve.

Serhud [2]

Answer:

Step-by-step explanation:

12.9 + 10.2x = 35.1

10.2x = 35.1 - 12.9

10.2x = 22.2

x = 22.2/10.2

x= 222/102 = 111/51

$x= 2\dfrac{9}{51}$

6 0

2 years ago

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Last year 80 students signed up for a summer trip to Washington, D.C. This summer 50 students have signed up to go. What is the

Fynjy0 [20]

Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

We have,

Students in last year = 80

Students in this year = 50

Now,

$\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100$

$\text{Decrease}\%=\dfrac{80-50}{80}\times 100$

$\text{Decrease}\%=\dfrac{30}{80}\times 100$

$\text{Decrease}\%=\dfrac{3}{8}\times 100$

$\text{Decrease}\%=37.5$

Therefore, the correct option is B.

7 0

2 years ago

The question says~<br><br>Find the number that makes the ratio equivalent to 1:4....<br><br>4: ?

Anarel [89]

Answer:

ikd

Step-by-step explanation:

8 0

3 years ago

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