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3 years ago

A bag contains 44 cookies. Kyle eats 8 of the cookies. What fraction of the cookies is left?

Mathematics

2 answers:

NISA [10]3 years ago

5 0

Answer:

9/11

Step-by-step explanation:

36 of the 44 cookies remain. As a fraction, that is 36/44 = 9/11.

Debora [2.8K]3 years ago

4 0

The answer is 36/44 which of we reduce it by dividing both sides by 4 you'll get 9/11
so the answer you'll write down is 9/11

-all you have to do is take the number of cookies in total as the denominator and the numerator is the amount of cookies left when you subtract 44-8=36 And once you get your answer you try to reduce the number to the lowest fraction which in this case is 9/11 :D

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The equation x2 − 9 = 0 has real solution(s).

tatiyna

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

6 0

3 years ago

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Quadrilateral WXYZ has the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0).

AnnZ [28]

The length of side WX in Quadrilateral WXYZ is 3b units.

<h3>Coordinate plane</h3>

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

$AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

$WX=\sqrt{(b-b)^2+(4b-b)^2}=3b$

The length of side WX in Quadrilateral WXYZ is 3b units.

Find out more on coordinate plane at: brainly.com/question/26100648

7 0

2 years ago

A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho

GaryK [48]

2/3 / 2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour

3 0

3 years ago

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The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

Step-by-step explanation:

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 time interval.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

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

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

1. What is the constant rate of change between x and y in the table below?

Murljashka [212]

Answer:

Step-by-step explanation: ya boi got at least a 90 in all classes

3 0

3 years ago

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