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prohojiy [21]
3 years ago
12

Mrs. diaz makes 5 dozen cookies for her class. one ninth of her 27 students are absent the day she brings the cookies. if she sh

ares the cookies equally among the students who are present, how many cookies will each student get
Mathematics
2 answers:
Savatey [412]3 years ago
8 0
We know that Mrs. Diaz has a total of 60 cookies (which is 5 * 12 = 60).

To find how many students were absent, we divide the 27 by 1/9

To do this, we set the 27 into a fraction, which would be 27/1

Next we would flip the other fraction to be 1/27

Now we multiply.

27 * 1 and 9 * 1

27 / 9

When we simplify it, we get 3, which means 3 students were absent that day from Mrs. Diaz's class.

So, knowing that there are sixty cookies and 24 students, we divide.

60 / 24 = 2.5

Meaning that each student would get two cookies each, giving Mrs. Diaz 12 leftovers.

Hope this helped! c:

- Kat
saw5 [17]3 years ago
6 0
Each student gets 2.5 cookies.
We know that there are 24 students there and 60 cookies, (since one ninth of 27 is 3 so 3 students are not there, and 24 are, and that 5 dozen is another way to write 60) we need to divide 60 by 24 which is 2.5.
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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability 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.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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)!}

Sampling with replacement:

I consider a success choosing a black ball, so p = \frac{50}{150+50} = \frac{50}{200} = 0.25

We want 2 black balls and 2 white, 2 + 2 = 4, so n = 4, and we want P(X = 2).

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

P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so N = 200

Sample of 4, so n = 4

50 are black, so k = 50

We want P(X = 2).

P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0
3 years ago
FOR WHICH POLYGON ARE BOTH x= -1 and y= -2 lines of symmetry? ILL BRAINLIEST YOU IF YOU GET IT RIGHT HELP ME PLZ
snow_lady [41]

Answer:

C

Step-by-step explanation:

The line of symmetry is a line that splits the figure into 2 halves where each half is a mirror image of the other. In the third figure, if a line is drawn through x = -1, the halves mirror each other. If a line is drawn through y = -2, the top and bottom halves mirror each other.

3 0
3 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
4 years ago
Hi . I need help with the question below and the one in the picture.
Oliga [24]

Answer:

1) N5.00

2) N1.50

Step-by-step explanation:

1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%

That means the 4th girl received 5%.

25 is 5% of 500

500 Kobo is N5.00

2) He lost 55%, so they means he has 45% left.

67.5 is 45% of 150

(67.5/0.45=150)

150Kobo is N1.50

8 0
3 years ago
12 • 3 ÷ 9 - 2(4² - 10) + 8
vladimir2022 [97]

Answer:

Awnser is 6

Step-by-step explanation:

5 0
4 years ago
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