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3 years ago

Which of the following is a discrete random variable?

Mathematics

2 answers:

Snezhnost [94]3 years ago

5 0

I say it is : the number of cars passing tollbooth in a given hour
Hope this helps :)☺

deff fn [24]3 years ago

3 0

Answer:

The number of cars passing a tollbooth in a given hour.

Step-by-step explanation:

Discrete variable is a variable that possess a countable number of values, means the value is obtained by counting.

1. the average annual increase in fuel price - This is not discrete as the values can be decimal. And it is obtained by measuring, so it is continuous variable.

2. a car's speed at different times - This is also not discrete. This is also continuous variable.

3. a person's weight - This is also not discrete.

4. the number of cars passing a tollbooth in a given hour - This is discrete as we can count the number of cars.

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The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.

MariettaO [177]

PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵)
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0

3 years ago

A projector enlarges an image in the ratio 20:1. What will be the size of an enlargement of a picture that is 8cm by 6cm?

nydimaria [60]

Answer:

160 cm × 120 cm

Step-by-step explanation:

this means 1 cm turns into 20 cm.

so, 8 cm × 6 cm becomes

8×20 = 160 cm × 6×20 = 120 cm

3 0

2 years ago

At the peak of a roller coaster ride, the rider's watch flew off his wrist. The height h in feet of the watch, t seconds after h

defon

Answer:

$3 \: s$

Step-by-step explanation:

$y = - 16 {x}^{2} + 32x + 48 \\ 0 = \frac{ - 16 {x}^{2} + 32x + 48 }{ - 16} \\0 = {x}^{2} - 2x - 3 \\ 0= {x}^{2} - 3x + x - 3 \\ 0= x(x - 3) + 1(x - 3) \\0 = (x + 1)(x - 3) \\ \\ x + 1 = 0 \\ x = - 1 \\ x - 3 = 0 \\ x = 3$

Hope this helps you.

Can I have the brainliest please?

6 0

3 years ago

Read 2 more answers

Help me with this question plz?

wel

Volume of cylinder = πr²h = π x 4² x 6 = 96π

volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π

You can see that volume of cone is more than twice of volume of cylinder. So she is not correct

8 0

4 years ago

Factor and solve X^2+7x-8=0

adelina 88 [10]

(X^2+8x)-(x-8)=0
x(x+8)-1(x+8)=0
(X-1)(x+8)=0
X= 1
X= -8

4 0

3 years ago