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Lynna [10]
3 years ago
10

The quotient of the cube root of x and nine

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

\frac{  \sqrt[3]{x}  }{9}

Quotient means the answer after dividing two numbers.

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Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the
elena55 [62]

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

4 0
3 years ago
At the beginning of the school year, the 7th grade class at Oak Hill Middle School has 480 students. There are 270 girls and 210
Dimas [21]

Answer:

Part 1: 43.75%

Part 2: 44.07%

Step-by-step explanation:

Hello!

(Pt.1) First, set up a ratio 210/480. Next, you use long division I got the percent 43.75. After that, you subtract 6 from the girls group, (because of them moving away and then more coming back.) and 2 from the boys group. Then, you subtract those from the school "population" and you get 472 as the final population. So then you set up another ratio, 208/472. I got a percent of 44.07% from that.

Thanks For Reading!

7 0
2 years ago
How would you factor x²+10x-2=0
attashe74 [19]
This would be easiest to do by completing the square.

x^2+10x-2=0

x^2+10x=2

x^2+10x+25=27

(x+5)^2=27

x+5=±√27

x=-5±√27

(x+5+√27)(x+5-√27)
5 0
3 years ago
Read 2 more answers
Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X
GarryVolchara [31]

Answer: 9240\ ft^3

Step-by-step explanation:

Given

Dimension of the bathroom is 12'\times 16'

Dimension of the bedroom is 14'\times 18

Dimension of the great room is 20'\times 30'

Height of the ceiling is h=10'

Total area of the cabin

\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2

Volume of the cabin is V=A\times h

\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3

8 0
2 years ago
A teacher is evaluating how students in her first class did on an assessment versus her last class. The box plots show the resul
MrMuchimi

Answer:

The time a student learns mathematics is important for their score

Step-by-step explanation:

Observe the boxes diagrams. Where the horizontal axis represents the score obtained by the students in the test.

The vertical lines that divide the boxes in two represent the value of the median.

The median is the value that divides 50% of the data.

For the class of the morning the value of the median is 50 points, with a maximum value of 80 and a minimum value of 10.

For the afternoon class, the median value is 65 points with a minimum value of 30 and a maximum value of 100.

This indicates that in general, the highest number of high scores were obtained in the afternoon class.

Therefore it can be said that the time a student learns mathematics is important for their  score

4 0
3 years ago
Read 2 more answers
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