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3 years ago

Write 15 cookies to 45 brownies as a ratio.

Mathematics

2 answers:

tiny-mole [99]3 years ago

3 0

Answer:

1:3

Step-by-step explanation:

15/15 = 1 and 45/15 = 3

IRISSAK [1]3 years ago

3 0

Answer: 33.333333333333%

Step-by-step explanation: just took the test.

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Current estimates are that about 25% of all deaths are due to cancer, and of the deaths that are due to cancer, 30% are attribut

Aliun [14]

Answer:

(a) P (T|C) = 0.30, P (T|D) = 0.40 and P (O|C) = 0.30

(b) The probability that a death is due to cancer and tobacco is 0.075.

Step-by-step explanation:

Let us denote the events as follows:

C = death is due to cancer

T = cause of cancer was tobacco

D = cause of cancer was diet

O = cause of cancer was other issue

The provided information is:

P (C) = 0.25

P (T|C) = 0.30

P (T|D) = 0.40

P (O|C) = 0.30

(a)

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is denoted by, P (A|B).

This implies that the occurrence of event B is affected by the previously occurred event A.

Causes of cancer are tobacco, diet and other issues. If a death is caused by cancer then the probability that the cause of cancer was tobacco or diet or something else are conditional events.

The conditional probabilities are:

0.40 for diet, 0.30 for tobacco and 0.30 for other causes.

(b)

Conditional probability formula is:

$P (A|B)=\frac{P(A\cap B)}{P(B)}$

Compute the probability that a death is due to cancer and tobacco as follows:

$P (T|C)=\frac{P(C\cap T)}{P(C)}\\P(C\cap T)=P(T|C)\times P(C)\\=0.30\times0.25\\=0.075$

Thus, the probability that a death is due to cancer and tobacco is 0.075.

8 0

3 years ago

A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 6cos(t). At

Rom4ik [11]

a. By the fundamental theorem of calculus, the velocity function is

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

The particle starts at rest, so $v(0)=0$ , and we have

$v(t)=\displaystyle\int_0^t6\cos u\,\mathrm du=6\sin u\bigg|_0^t=6\sin t$

Then the position function is

$x(t)=\displaystyle x(0)+\int_0^tv(u)\,\mathrm du$

with $x(0)=6$ , so

$x(t)=6+\displaystyle\int_0^t6\sin u\,\mathrm du=6-6\cos u\bigg|_0^t=12-6\cos t$

b. The particle is at rest whenever $v(t)=0$ ; this happens for

$6\sin t=0\implies \sin t=0\implies t=n\pi$

where $n$ is any integer.

3 0

3 years ago

Ajar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

USPshnik [31]

Answer:

C. Independent, 49/1296

Step-by-step explanation:

A jar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

Total balls = 12+7+10+7

Total balls= 36

Two balls are chosen at random with replacement.

The probability that the both balls are green = probability of the first ball to he green * probability of the second ball to be green

The probability that the both balls are green= 7/36 * 7/36

The probability that the both balls are green= 49/1296

8 0

3 years ago

What is the completely factor form of x4+8x2-9

Mademuasel [1]

It takes some trial and error

To find the factored form, you know that the format will look like

(x^n +/- a) (x^n +/- b)

Since the expanded form has x^4, the first part of each expression in parentheses will be x^2  because x^2 * x^2 will give you x^4

Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.

Factors of -9 will be -3*3 or -1*9 or -9*1

Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in  8x^2 in the expanded form ...

a*x^2 + b*x^2 = 8x^2

If you think about this, you know the a and b will = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.

Final factored form is

(x^2 - 1) (x^2 + 9)

8 0

4 years ago

1. Which other expression has the same value as (-14) - 8?

ludmilkaskok [199]

Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

6 0

3 years ago