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stealth61 [152]
4 years ago
9

the soccer team is planning to sell health bars for a fundraiser. the prices of purchasing health bars from two different compan

ies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. company a: y = 0.75x company b: y = 10 0.50x how many bars would the team need to purchase from each company in order for the total cost to be equal?
Mathematics
2 answers:
zubka84 [21]4 years ago
4 0
40 bars __________________
k0ka [10]4 years ago
4 0

Answer:

The team needs to buy 40 health bars.

Step-by-step explanation:

We are given that,

Number of bars purchased = x

Total cost of the bars = y (in dollars)

The prices of purchasing health bars from different companies are given by,

Company A: y = 0.75x

Company B: y = 10+0.50x

Now, the teams needs to find the number of bars so that the cost are equal.

That is, we get,

0.75x=10+0.50x\\0.25x=10\\x=40

Hence, the team needs to buy 40 health bars.

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A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

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

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
3 years ago
Someone please give me the answers for this lol​
Lana71 [14]

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

8 0
3 years ago
Read 2 more answers
Help (the answer isn't the 2nd one my friend did this test and chose that and got it wrong please )
Artyom0805 [142]

Answer: 4 and 3/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is
Elan Coil [88]

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>

6 0
4 years ago
What is the answer to yhis promble (4x+1)(2x+3)​
Nikitich [7]
(4x+1)(2x+3)=8x*2+12x+2x+3
= 8x*2+14x+3
5 0
3 years ago
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