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lidiya [134]
3 years ago
7

the sum of three numbers is 130. the second number is twice the first. the third number is equal to twice the second minus 1/2 o

f the first.
Mathematics
1 answer:
Nitella [24]3 years ago
4 0

The first number is 20

The second is 40

The third is 70



the first number = a

The second number = 2a

The third number = 3 1/2a

6 1/2a = 130

a = 20


Hope this helps!

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alexgriva [62]

Answer: i dont this you can combine like terms for this question because none of these have the same variable or anything.

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2 years ago
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Please give me correct answer and fast answer it if know answer only
Stolb23 [73]

Answer:

Approximatley 5.8 units.

Step-by-step explanation:

We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:

\frac{\sin(A)}{a}=\frac{\sin(B)}{b} =\frac{\sin(C)}{c}

Replacing them with the respective variables, we have:

\frac{\sin(S)}{s} =\frac{\sin(T)}{t} =\frac{\sin(R)}{r}

Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:

\frac{\sin(20)}{s}=\frac{\\sin(17)}{5}

Solve for <em>s</em>, the unknown side. Cross multiply:

\frac{\sin(20)}{s}=\frac{\sin(17)}{5}\\5\sin(20)=s\sin(17)\\s=\frac{5\sin(20)}{\sin(17)} \\s\approx5.8491\approx5.8

6 0
3 years ago
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A certain medical test is known to detect 73% of the people who are afflicted with the disease Y. If 10 people with the disease
Setler [38]

The probability of an event is the measurement of the chance of that event's occurrence. The probabilities of considered events are:

  • P(At least 8 have the disease) ≈ 0.4378
  • P(At most 4 have the disease)  ≈ 0.0342
<h3 /><h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials. Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X = B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X=x)  = ^nC_xp^x(1-p)^{n-x}

Since 10 people can be either diseased or not and they be so independent of each other (assuming them to be selected randomly) , thus, we can take them being diseased or not as outputs of 10 independent Bernoulli trials.

Let we say

Success= Probability of a diseased person tagged as diseased by the clinic

Failure = Probability of a diseased person tagged as not diseased by the clinic.

Then,

P(Success) = p = 72% = 0.72 (of a single person)

P(Failure) = q = 1-p = 0.28

Let X be the number of people diagnosed diseased by the clinic out of 10 diseased people. Then we have: X ≈ B(n+10,P=0.73)

Calculating the needed probabilities, we get:

a) P(At leased 8 have disease) = P(X≥8) =P(X=8) + P(X=9) + P(X=10)

P(X≥8) = ^{10}C_8(0.73)^8(0.28)^2+^{10}C_9(0.73)^9(0.27)^1+^{10}C_{10}(0.73)^{10}(0.27)^0

P(X≥8) ≈ 0.2548 + 0.1456 + 0.0374 ≈ 0.4378

b)  P(At most 4 have the disease) = P(X≤4) = P(X=0) + P(X=1)+P(X=2)+P(X=3)+P(X=4)

P (X ≤ 4) =

^{10}C_0(0.73)^0(0.27)^{10}+^{10}{C_1(0.73)^1(0.27)^9+^{10}{C_2(0.73)^2(0.27)^8+^{10}C_3(0.73)&^3(0.27)^7 \\

+^{10}C_4(0.73)^4(0.27)^6

P (X ≤ 4) = 0.000003 + 0.000076+0.00088+0.00604+0.02719

P (X ≤ 4) =  0.0342

Thus,

The probabilities of considered events are:

  • P(At leased 8 have disease) = 0.4378 approx
  • P(At most 4 have the disease)  = 0.0342 approx

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

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2 years ago
Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of
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<h3>Answer: 0.557</h3>

===================================================

Work Shown:

P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\

-------------

Side note:

A similar formula is P(A \cup B) = P(A) + P(B) - P(A \cap B)

We can isolate the last term to get the first equation shown above.

5 0
3 years ago
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The USDA pays schools for each lunch served. As of the 2014–15 school year, it paid $2.98 for each free lunch,
Anestetic [448]

Answer:

$32.80

Step-by-step explanation:

For this case we have that the total daily protein consumption is given by:

Now, we find the percentage corresponding to breakfast:

53g ---------> 100%

17g -----------> x

Where "x" represents the percentage of protein equivalent to breakfast:

Thus, at breakfast approximately 32.08% of the total protein should be consumed.

6 0
3 years ago
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