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3 years ago

Kim, Laura and Molly share £385

1 answer:

3 0

We let x = Kim's amount
y = Laura's amount
z = Molly's amount

We have three unknowns and it should be that we have three equations to set up to be able to solve this.

x + y + z = 385 (1)
z - x = 105 (2)
2/5 = x/z (3)

Solving simultaneously, we can get the values as follows:

x = 70
z = 175
y = 140

Therefore, the percentage that Laura got was 36.4% of the whole money. Hope this answers the question.

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The two longer sides of a triangle Measure 16 and 22 which of the following is a possible link of the shortest side

horsena [70]

The two longer sides of a right angle triangle are 16 and 22
let 22 be the hypotenuse (the longest side)
use Pythagoras Therom a²+b²=c²
in this question c=22 and b=16
to find the shortest side
22²-16²=a²
484-256=a²
228=a²
a=√(228)
a= 15.1

8 0

3 years ago

Read 2 more answers

An automatic filling machine in a factory fills bottles of ketchup with a mean of 17.6 oz and a standard deviation of 0.05 oz wi

marin [14]

Answer: 0.0228

Step-by-step explanation:

Given : $\text{Mean}=\mu=17.6\ oz$

$\text{Standard deviation}=\sigma=0.05\ oz$

Since , the distribution follows a Normal distribution .

The formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=17.5 oz

$z=\dfrac{17.5-17.6}{0.05}=-2$

The p-value = $P(z$

Hence, the required probability : 0.0228

5 0

3 years ago

What is the probability of obtaining threethree tailstails in a row when flipping a coin? Interpret this probability.

Korolek [52]

Answer:

P=0.125

If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.

Step-by-step explanation:

When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.

In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:

$P=p^3=0.5^3=0.125$

If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:

$E=nP=10,000*0.125=1,250$

because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.

4 0

3 years ago

A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoe

vaieri [72.5K]

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

$1B = 3P$

$\frac{1}{3}=\frac{P}{B}$

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

$2B = 6P$