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Gwar [14]
3 years ago
10

A small bottle of lemonade is half the size of a large bottle. The small bottle costs 80p and the large bottle costs £1.50. Amir

buys 4 small bottles. How much would he save if he buys the same amount of lemonade in large bottles?
Mathematics
2 answers:
Leni [432]3 years ago
4 0

80p = 80 cents

£1.50 = $1.50.

(changing the signs, that's it)

So if a small bottle is half the size of a large bottle, and is 80 cents.

Amir buys 4 bottles, so 0.80 * 4 = 320 = $3.20.

Now 4 small bottles is the same as 2 large ones, so if he bought 2 large bottles: $1.50 * 2 = $3.00.

$3.20 - $3.00 = 0.20 cents.

Amir would've saved 0.20

P.S. What is "p" in European money

lapo4ka [179]3 years ago
3 0

the answer to your question is 0.20

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3 years ago
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
3 years ago
a company that makes automatic coffee machines must make a model that dispenses 354 mL + .006 mL of coffee per cup. Do all of th
Svet_ta [14]

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Step-by-step explanation:

7 0
3 years ago
Find the area of this figure (50 points)
Softa [21]

Answer:

A_{total} = 14\ in^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the left rectangle</u>

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

A = l * w

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A_{left\ rectangle}  = 8\ in^2

<u>Step 2:  Determine the area of the right rectangle</u>

A = l * w

A_{right\ rectangle} = 3\ in * 2\ in

A_{right\ rectangle} = 6\ in^2

<u>Step 3:  Determine the total area</u>

A_{total}=A_{left\ rectangle} + A_{right\ rectangle}

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4 0
2 years ago
Read 2 more answers
A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr
ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so \pi = 0.30

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so n = 10

We want to find P(X = 1). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is P(X > 1)

We have that:

P(X \leq 1) + P(X > 1) = 1

P(X > 1) = 1 - P(X \leq 1)

We also have that:

P(X \leq 1) = P(X = 0) + P(X = 1)

P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282

So

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493

Finally

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507

There is a 85.07% probability that more than 1 has the marker.

3 0
3 years ago
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