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3 years ago

In a math class with 28 students, a test was given the same day that an assignment

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

Probability that a student who passed the test did not complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed the assignment = 23

Number of students who passed the test and also completed the assignment = 16

To find: probability that a student who passed the test did not complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed the assignment

P(A only) = $P(A)-P(A\cap B)$

Here,

$P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}$

So,

$P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07$

Therefore,

probability that a student who passed the test did not complete the homework = 0.07

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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she

Dmitrij [34]

Answer: The below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x, ------ (1)

where, x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.

8 0

3 years ago

Read 2 more answers

Can someone please help me ?

mr Goodwill [35]

$x = 3 \: and \: y = 2 \:are \: the \: answers.$

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3 years ago

1 answer = 1 step closer to me getting to play animal crossing

OLEGan [10]

Answer:

The answer to your question is the letter A. 20 ft²

Step-by-step explanation:

Data

length of a side = 10 ft

length of the diameter = 10 ft

length of the radius = 5 ft

Process

1.- Calculate the area of the square

Area of the square = side x side

= 10 x 10

= 100 ft²

2.- Calculate the area of the circle

Area = πr²

Area of the circle = (3.14)(5)²

Area of the circle = 78.5 ft²

3.- Calculate the remaining area

Remaining area = 100 - 78.5

Remaining area = 21.5 ft² ≈ 20 ft²

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3 years ago

Need Answered ASAP

kicyunya [14]

Answer:

The possible rational roots are: +1, -1 ,+3, -3, +9, -9

Step-by-step explanation:

The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.

So we start noticing that since the leading term of this polynomial is $x^3$ , the leading coefficient is "1", and therefore the list of factors for this is: +1, -1

On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9

Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:

+1, -1 ,+3, -3, +9, -9

And therefore, this is the list of possible roots of the polynomial.

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3 years ago

In a geometric sequence, the term a n+1 can be smaller than the term a n

Rainbow [258]

Do you mean a_(n+1), worded a sub (n+1)?

If so yes. If the function of the sequence is getting smaller or more negative with each term.

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3 years ago