Help me please need help

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Answer 1

Answer: The slow is equal to 4

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A = 1 −7 −1 2 , B = 3 7 −1 0 , C = 1 0 −1 1 Find: a) BC, b) 5A − 2C, c) A + C,

The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

Answers

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval

Mean of 0.5

7-day week, so $\mu = 7*0.5 = 3.5$

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

$P(X = 0) = (e^(-3.5)*(3.5)^(0))/((0)!) = 0.0302$

$P(X = 1) = (e^(-3.5)*(3.5)^(1))/((1)!) = 0.1057$

$P(X = 2) = (e^(-3.5)*(3.5)^(2))/((2)!) = 0.1850$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216$

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Final answer:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula.

Explanation:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula. The formula for binomial probability is:

$P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)$

Where:

P(X = k) is the probability of exactly k successes
C(n, k) is the combination function for choosing k items from a set of n
p is the probability of success for each individual trial
n is the number of trials

In this case, the mean number of crashes per day is 0.5, which means the probability of a crash in a single day is 0.5. Since we're interested in the probability of less than 3 crashes in a seven-day week, we can calculate P(X < 3) using the binomial probability formula with n = 7, p = 0.5, and k = 0, 1, 2:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we can calculate:

$P(X = 0) = C(7, 0) * 0.5^0 * (1-0.5)^(^7^-^0)\nP(X = 1) = C(7, 1) * 0.5^1 * (1-0.5)^(^7^-^1)\nP(X = 2) = C(7, 2) * 0.5^2 * (1-0.5)^(^7^-^2)$

Adding these probabilities together will give us the probability of less than 3 crashes in a seven-day week.

Rounding the final probability to four decimal places, we get the probability that the computer will crash less than 3 times in a seven-day week.

Learn more about Binomial probability here:

brainly.com/question/39666605

#SPJ12

14) Centroid R is found in TriangleABC below with BZ = 42, CA = 40 and RY = 16. Determine theperimeter of Triangle ARZ.

Answers

Answer:

Missing BZ= 42, 40 RY= ARZ

Step-by-step explanation:

Hope it helps!! Please give brainleist

a new recipe calls for 1/3 cups sugar and you have 2 1/3 cups in the pantry if you have unlimited supplies of the other ingredients how many recipes could you make? PLS HELP

Answers

Answer:

7 recipes could be made with $2(1)/(3)$ cups of sugar.

Step-by-step explanation:

Quantity of sugar required for a recipe $=(1)/(3)$ cups

Quantity of sugar required in a pantry $=2(1)/(3)$ cups

Here,

$2(1)/(3)=(7)/(3)$

So,

Quantity of sugar required in a pantry $=(7)/(3)$ cups

Number of recipes that could be made $=((7)/(3) )/((1)/(3) ) =7$

Therefore, 7 recipes could be made with $2(1)/(3)$ cups of sugar.

ANSWER ASAP:Shayla wants to buy some CDs that each cost $14 and a DVD that costs
$23. She has $65 that she is able to spend. Which equation can be used to
determine how many CDs Shayla could buy?

Answers

14x+23=65
65 is the total money
23 is with the dvd
14 is how many she can buy

I'm having trouble with finding the solutions.

Answers

Answer:x=−8 and y=8

Step-by-step explanation: Do you want it solved step by step?

Answer:

One solution, (-8,8)

x = -8

y = 8

Step-by-step explanation:

-6x + 3y = 72 then 3y = 72 + 6x, y = 24 + 2x

5x + 8y = 24

substitute for y:

5x + 8(24 + 2x) = 24

5x + 192 + 16x = 24

21x = -168

x = -8

y = 24 + 2(-8) = 8

You have a plate of 50 cookies. Ten have chocolate chips and 14 have pecans. On the cookies mentioned in the preceding sentence, 6 have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has chocolate chips or pecans

Answers

Answer:

The probability is 0.36

Step-by-step explanation:

For calculated the probability that a cookie has chocolate chips or pecans, we need to divide the number of cookies that has chocolate chips or pecans between the total number of cookies.

So, the number of cookies that has chocolate chips or pecans is calculate as: A + B - C

Where A are the number of cookies that have chocolate chips, B are the number of cookies that have Pecans and C are the number of cookies that have both chocolate chips and pecans. Then, the number of cookies that has chocolate chips or pecans is:

10 + 14 - 6 = 18

Finally, the total number of cookies is 50 so the probability is:

$(18)/(50) =0.36$

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