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Leto [7]
3 years ago
13

The rartio of cookies to milk is 3:1 .if there are 25 glasseees of milk how many cookies are there

Mathematics
2 answers:
nevsk [136]3 years ago
6 0

Answer:

75

Step-by-step explanation:

the ratio of cookies to milk is 3:1

so 25 * 3  = 75

hope this helps :)

Masja [62]3 years ago
5 0

Answer:

The answer is 75 cookies.

Step-by-step explanation:

Since the ratio of cookies to milk is 3:1, multiply 25 by 3 to get 75. The ratio is 75:25, which can be simplified to 3:1.


I hope this helped! :-)

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What is f(4) for the function f(x) = 7x + 6?<br> Please help asap
Black_prince [1.1K]

Answer:

f(4) for the function f(x) = 7x + 6 is \mathbf{f(4)=34}

Step-by-step explanation:

We need to find f(4) for the function f(x) = 7x + 6

For finding f(4) we will put x= 4 in the given function

f(x) = 7x + 6

Put x = 4

f(4)=7(4)+6\\f(4)=28+6\\f(4)=34

SO, f(4) for the function f(x) = 7x + 6 is \mathbf{f(4)=34}

4 0
3 years ago
Evaluate C(20, 2).<br> 380<br> 190<br> Or 18
wolverine [178]
The correct answer is 190
4 0
3 years ago
The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08
kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

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) = \frac{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 interval.

Binomial 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.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So \mu = 10*0.08 = 0.8

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a p = 0.4493 probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.

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

P(X = 10) = C_{10,10}.(0.4493)^{10}.(0.5507)^{0} = 0.0003

0.03% probability that none of the 10 cars has any surface flaws

(c) If 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws?

At least 9 cars without surface flaws. So

P(X \geq 9) = P(X = 9) + P(X = 10)

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

P(X = 9) = C_{10,9}.(0.4493)^{9}.(0.5507)^{1} = 0.0041

P(X = 10) = C_{10,10}.(0.4493)^{10}.(0.5507)^{0} = 0.0003

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0041 + 0.0003 = 0.0044

0.44% probability that at most 1 car has any surface flaws

5 0
3 years ago
A new bed costs $1,200. If the tax rate is 8.25%, how much will the bed cost including tax?
tigry1 [53]

Answer:

1299

Step-by-step explanation:

To find the equivalent of the persentege in money u do

(8.25)/100 *1200

that is 99

than u simply do 1200+99=1299

6 0
3 years ago
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Each shelf would be 3 1/2 inches
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4 years ago
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