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2 years ago

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connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. Wh

at is the final change in the volume of the carton?

1 answer:

Salsk061 [2.6K]2 years ago

5 0

Answer:

A reduction of 450ml

Step-by-step explanation:

Given

$V_1 = 200ml$ -- To glass 1

$V_2 = 250ml$ --- To glass 2

Required

The final change to the carton

To do this, we simply add V1 and V2

So, we have:

$Total = V_1 + V_2$

$Total = 200ml + 250ml$

$Total = 450ml$

<em>This implies that the changes is a reduction of 450ml</em>

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Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0

1 year ago

An opera house has a seating capacity of 872 people with each ticket costing 50 Rupees .If the opera house is running for 15 day

Nataly_w [17]

Answer:

654000 Rupees

Step-by-step explanation:

If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day

872 x 50 = 43600

We multiple that number by the amount of days open so is would be 43600 x 15

43600 x 15 = 654000

Therefore it will make 654000 Rupees

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3 years ago

Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

$x = y + 1$ --- Equation 1

From the question; we have that

$\frac{4x}{7} = \frac{y}{2} + 5$ --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

$14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5$

$2 * 4x = 7 * y + 70$

$8x = 7y + 70$ ---- Equation 3

Substitute y + 1 for x in equation 2

$8(y + 1) = 7y + 70$

Open bracket

$8y + 8 = 7y + 70$

Collect like terms

$8y - 7y = 70 - 8$

$y = 62$

$x = y + 1$

So,

$x = 62 + 1$

$x = 63$

Hence, the consecutive numbers are 62 and 63

8 0

2 years ago

vodomira [7]

Answer:

The population will be 240,116

Step-by-step explanation:

Exponential growth can be represented by the expression:

$P(t) = P_i\,(1+r)^t$

where:

$P(t)$ is the population at time (t)

$P_i$ is the initial value of the population

"r" is the annual rate of growth (written in decimal form)

and "t" is the time in years.

Therefore in this situation, P(16) is what we want to find [the population after 16 years]

the initial population $P_i$ is 110,000

the rate of growth is 0.05 [decimal form of 5%]

and t is 16 years.

Replacing all these in the given functional form gives:

$P(t) = P_i\,(1+r)^t\\P(16)=110000\,(1+0.05)^16\\P(16)=240116$

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2 years ago

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ella [17]

Answer: its is square pyramid or D

Step-by-step explanation:

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2 years ago