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Andrei [34K]
2 years ago
15

A tub contains red, yellow and blue counters. There is ten more yellow than red counters, and the ratio of red to blue counters

is 3:4.If there are 20 blue counters, what is the probability of picking a yellow counter?
Mathematics
1 answer:
True [87]2 years ago
3 0

Answer:

5/12

Step-by-step explanation:

A ratio of 3:4 means that red counters make up 3/7 of the sum of red and blue counters and blue counters make up 4/7 of the total sum of red and blue counters.

If there is 20 blue counters, then 20 is 4/7 of the sum of the total red and blue counters.

So we need to solve for the total sum.

\frac{4}{7} x = 20

4x = 140

x = 35

So the total amount of red and blue counters are 35,

So this means the amount of red counters is 15.

The amount of yellow counters is 25.

So the total number of counters are 60.

So P(Yellow counters)= 25/60= 5/12

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A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the prob
kiruha [24]

Answer:

31.77% probability the surgery is successful for exactly five patients.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

A surgical technique is performed on seven patients.

This means that n = 7

You are told there is a 70% chance of success.

This means that p = 0.7

Find the probability the surgery is successful for exactly five patients.

This is P(X = 5).

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

P(X = 5) = C_{7,5}.(0.7)^{5}.(0.3)^{2} = 0.3177

31.77% probability the surgery is successful for exactly five patients.

5 0
3 years ago
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Answer:

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3 0
3 years ago
The rectangle below has an area of 14x^4 + 6x^2 square meters. The width of the rectangle (in meters) is equal to the greatest c
julia-pushkina [17]

Answer:

w=2x^2 and l = (7x^2+3)

Step-by-step explanation:

The area of a rectangle is 14x^4+6x^2 which factors through GCF, by finding the greatest common monomial factor between the two.

14x^4+6x^2 = 2*7x^4 + 2*3x^2 = 2x^2(7x^2+3)

The length and width of the rectangle are w=2x^2 and l = (7x^2+3).

7 0
3 years ago
PLZ HELP ME I BEG YOU
wariber [46]

Answer:

<em>Hello, If you arrange the data in ascending order , the bar graph will show sharp incline.</em>

<em />

<em>When you arrange the data in descending order , the bar graph will show sharp decline.</em>

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<em>Now, if you will draw the bar graph without interfering at the data chances are it may show decline and then incline or incline and then decline.</em>

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<em>Option (A) A bar graph that forms a gradual incline and a sharp decline of values and</em>

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<em>Option (D) A bar graph that forms a sharp incline and a gradual decline of values</em>

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5 0
4 years ago
Read 2 more answers
Congruent regular pentagons tessellate a plane. true or false?
MariettaO [177]
Check the tessellation picture below.

now, bear in mind that, you're asked on "regular pentagons", no irregular like the ones in the left-hand-side in the picture.  Now, notice the ones in the right-hand-side, those are regular pentagons... well, do they tessellate?


6 0
4 years ago
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