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Juli2301 [7.4K]
3 years ago
12

Tommy waves 45 kg Jamil Woods 53 kg what is the combined weight of the two boys in grams?

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

109,000

Step-by-step explanation:

1kg = 1000g

45 + 63 = 109

109 x 1000 = 109000

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Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she
frosja888 [35]

Answer:

12-c

Step-by-step explanation:

Let c be Cindy's cookies

Solution:

Each child should have gotten 12 cookies because 96/8 is 12 but Cindy got c less so the answer would be 12-c.

6 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Mashcka [7]

Multiplying eqn no. two with 4 we add it up with eqn 1.

4x - 5y = 10 \\  - 4x - 12y = 32 \\

- 17y = 42 \\ y =  \frac{ - 42}{17}

When

- x - 8 = 3y \\ x + 3y =  - 8

x =  - 8 -  3 \frac{ - 42}{17 }  \\ x =  - 8 +  \frac{42}{17}  \\ x =   \frac{ - 10}{17}

So, x = - 10/17 and y = - 42/17.

5 0
3 years ago
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at Kayla swimwear 6 out of 20 style at the store are bikinis what percentage of swimsuit styles at the store are bikinis​
jasenka [17]

Answer:

is wrong,6/20,3/10

Step-by-step explanation:

8 0
3 years ago
Please help... Question is in the picture
garri49 [273]

Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

3 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
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