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seraphim [82]
3 years ago
7

A researcher finds that 15% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in t

he area and asks them whether they take the train to work. What is the number of trials for this binomial experiment?
A.15
B.38
C.250
D.265
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0
It’s the letter c. 250
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Please help asap! thx
vovikov84 [41]

Answer:

y = 0

Step-by-step explanation:

The given sinusoidal equation is y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)

The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

C = The horizontal shift

D = The vertical shift

By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right), is therefore, the line;

y = 0.

3 0
3 years ago
A) How many cups of flour are there in 6 servings? How many cups of flour are there per serving? Show your work. (2 pts)
Serjik [45]
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings

A) How many cups of flour are there in 6 servings? 1 1/2 cups
How many cups of flour are there per serving? Show your work. (2 pts)
1 1/2 ÷ 6 = 3/2 x 1/6 = 3/12 = 1/4 cups for 1 serving

b) How many total cups or sugar (white and brown) are there in 6 servings?
3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12
How many cups of sugar are there per serving? Show your work. (2 pts)
1 1/12 ÷ 6 = 13/12 x 1/6 = 13/72 cups of white and brown sugar


c) Suppose you modify the recipe so that it makes 8 servings. How much more flour do you need if you already have enough for 6 servings. Show your work. (2 pts)

Flour for 6 servings = 1 1/2 cups
Flour for 1 serving = 1/4 cups
Flour for 8 servings = 1/4 x 8/1 = 8/4 = 2 cups for 8 servings
3 0
4 years ago
10. El siguiente circulo está dividido en 8 rebanadas iguales. ¿Qué fracción del circulo está sombreada?​
Karo-lina-s [1.5K]

Answer:

2/8

Step-by-step explanation:

2/8 porque ahy 8 y 2 estan coloridas.Si gustarias simplifar seria .25

3 0
2 years ago
A solid plastic ball is a sphere with radius 8 in. How much plastic does it take to make one​ ball? Use 3.14 for pi.
Kryger [21]

Answer:

2,143.57

Step-by-step explanation:

The equation for volume of a sphere is 4/3 x pie x r^3. Plug in 8 for r = 512. 512 x 3.14= 1,607.68. 4/3 x 1,607.68 is about 2,143.57

7 0
3 years ago
A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field. a rectangle with the
UkoKoshka [18]

a.  The area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

b. In scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

c. we choose our final answer to have the least significant digit of 2.

<h3>Part A) How to find the portion of the field that has crops growing?</h3>

Since the field is rectangle, the area of the field is given by A = LW where

  • L = length of field and
  • W = width of field.

Given that the field is a rectangle with the bottom labeled 2.7 × 10³ ft and the right side labeled 3.5 × 10³ feet.

The

  • length L = 2.7 × 10³ ft and
  • Width W = 3.5 × 10³ ft

Since the crops are grown on half of the field we have that the area of the crops is A' = A/2

= LW/2

= (2.7 × 10³ ft × 3.5 × 10³ ft)/2

= (9.45 × 10⁶ ft²)/2

= 4.725 × 10⁶ ft²

≅ 4.7 × 10⁶ ft² to 2 significant digits

So, the area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

<h3>Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. </h3>

So, in scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

<h3>C) Explain how you chose the number of significant digits in the final answer.</h3>

By the rule of multiplication of number, the result of the product of two numbers cannot have more significant digits than the number with the least significant digit.

So, since the least significant digit is 2, we choose our final answer to have 2 significant digits

So, we choose our final answer to have the least significant digit of 2.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

8 0
2 years ago
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