If a shopping bill for a week comes to £160 and Tesco gives me 5% of my total bill back

Ganezh [65]

X + (2 10)/(30 x)
The gcd of 10 and 30 is 10, so 10/30 = (10×1)/(10×3) = 10/10×1/3 = 1/3:
x + 2/(3 x)
Put each term in x + 2/(x 3) over the common denominator 3 x: x + 2/(x 3) = (3 x^2)/(3 x) + 2/(3 x):
(3 x^2)/(3 x) + 2/(3 x)
(3 x^2)/(3 x) + 2/(3 x) = (3 x^2 + 2)/(3 x):
Answer: (3 x^2 + 2)/(3 x)

5 0

3 years ago

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of

Arisa [49]

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³ where x is a side of the cube, then tacking derivatives with respect to time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x = 1,5 Km

dV/dt = 3* (1,5)²*2 [km³/h]

dV/dt = 13,5 [Km³/h]

3 0

3 years ago

b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone e

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

Hello!

<em>Full text</em>

<em>In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? </em>

<em>Response , Frequency </em>

<em>Never 102 </em>

<em>Rarely 319 </em>

<em>Sometimes 524 </em>

<em>Most of the time 1067 </em>

<em>Always 2727 </em>

n= 102+319+524+1067+2727= 4739

<em> (a) Complete the table below. </em>

<em>Response </em>

<em>Probability </em>To calculate the probability for each response you have to divide the frequency of each category by the total of people surveyed:

<em>Never </em> P(N)= 102/4739= 0.0215