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3 years ago

Which statement is true about whether Z and B are independent events

1 answer:

const2013 [10]3 years ago

6 0

Independent Events are 2 events where the occurrence of the first doesn't affect the occurrence of the second and vice versa.
Example: rolling 2 simultaneously dies, the occurrence of the first, has no impact, no effect on the occurrence of the 2nd roll

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Vikentia [17]

Answer:

a is the area of the largest rectangle

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3 years ago

Which classification correctly describes the polygon?

sergiy2304 [10]

Answer is (A) because it is concave and it has 8 sides

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3 years ago

Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams

hram777 [196]

Answer:

$X(16)=25.71grams$

Step-by-step explanation:

let $X(t)$ denote grams of $C$ formed in $t$ mins.

For $X grams$ of $C$ we have:

$\frac{2}{3}Xg$ of A and $\frac{1}{3}Xg$ of B

Amounts of A,B remaining at any given time is expressed as:

$40-\frac{2}{3}Xg$ of A and $50-\frac{1}{3}Xg$ of B

Rate at which C is formed satisfies:

$\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}$

Apply the initial condition, $X(0)=0$ ,to the expression above

$0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}$

Now at $X(8)=15$ :

$15=90-\frac{90}{90\times 8k+1} \ ->75=\frac{90}{720k+1}\\k=0.0002778$

Substitute in X(t) to get

$X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71$

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3 years ago

A water tank is being drained at a steady rate. The initial level of the water in the tank was 5.5 feet. The graph below shows t

alisha [4.7K]

The answer would be C. to find this use the rise over run method

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3 years ago

Read 2 more answers

ILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU DONT KNOW DONT ANSWER

lukranit [14]

Answer:

A) CPCTC

Step-by-step explanation:

This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.

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3 years ago