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Phantasy [73]
2 years ago
12

The sum of 3 numbers is 16 the first double is the second the third is 1 more then the first what are the 3 numbers

Mathematics
1 answer:
Crank2 years ago
5 0

Answer:

Step-by-step explanation:

The sum of 3 numbers is 16 the first double is the second the third is 1 more then the first what are the 3 numbers

Let us represent

First number = a

Second = b

Third = c

The sum of 3 numbers is 16

a + b + c = 16

the first double is the second

a = 2b

the third is 1 more then the first

c = a + 1

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The probability of flipping a coin and noting Heads is 50%. If you flip the coin 100 times, what is the standard deviation of He
BaLLatris [955]

Answer: 5.000

Step-by-step explanation:

The formula to find the standard deviation for binomial distribution is given by :-

\sigma=\sqrt{np(1-p)}, where p is the probability of getting success in each trial and n is the number of trials.

Given : The probability of flipping a coin and noting Heads is = 0.50

The total number of trials = 100

Then , the standard deviation of Heads to be noted will be :-

\sigma=\sqrt{100(0.50)(0.50)}=5.000

Hence, the standard deviation of Heads to be noted = 5.000

5 0
3 years ago
Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and
storchak [24]

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

7 0
2 years ago
Complete the pattern 5,10,30,60,180, ?
krek1111 [17]
540 is the answer because the doubled the first number to get the second number and multiplyed that by 3 to get the third number
4 0
3 years ago
Read 2 more answers
The base of the regular triangular pyramid has sides that are 14 cm with a height of 12.1 cm. The slant height of the pyramid is
KatRina [158]

Answer:ni

Step-by-step explanation:

6 0
3 years ago
It is known that diskettes produced by a cer- tain company will be defective with probability .01, independently of each other.
zheka24 [161]

Answer:

1.27%

Step-by-step explanation:

To solve this problem, we may consider a binomial distribution where a customer can either accept or reject (and return) the diskette package.

Lets consider  some aspects:

1. From the formulation of the exercise we know that a package is accepted if it has at most 1 defective diskette. So our event A is defined as:

A = 0 or 1 defective diskette

2. The probability of a diskette being defective is 0.01

3. Each package contains 10 diskettes.

If X is defined as number of defective diskettes in the package, the probability of X is given by a binomial distribution with probability 0.01 and n=10

X ~ Bin(p=0.01, n=10)

Let us remember the calculation of probability for the binomial distribution:

P(X=x)=nCx*p^{x}*(1-p)^{(n-x)} with x = 0, 1, 2, 3,…, n

Where

n: number of independent trials

p: success probability  

x: number of successes in n trials

In our case success means finding a defective diskette, therefore

n=10

p=0.01

And for x we just need 0 or 1 defective diskette to reject the package

Hence,

P(X=x)=10Cx*0.01^{x}*(1-0.01)^{(10-x)} with x = 0, 1

So,

P(A)=P(X=0)+P(X=1)

P(A)=10C0*0.01^{0}*(1-0.01)^{(10-0)} + 10C1*0.01^{1}*(1-0.01)^{(9)}

P(A)=0.99^{10}+10*0.01*0.99^{9}

P(A)=0.9957

Now, because we have 3 packages and we might reject just 1 of them, we can find this probability like this:

3*(1-P(A))*P(A)*P(A) = (1-0.9957)*0.9957*0.9957=0.0127

Finally, we have that the probability of returning exactly one of the three packages is 1.27%

3 0
2 years ago
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