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3 years ago

Please explain how to find the answer for this

Mathematics

1 answer:

FromTheMoon [43]3 years ago

5 0

$P(A \textrm{ and } B) = P(A) P(B|A)$

$P(A \textrm{ and } B) = \dfrac{3}{10} \cdot \dfrac{2}{5} = \dfrac{3}{25}$

Second to last choice.

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If a man earns $420 interest in one year at 7%, what was the amount of money invested?

baherus [9]

Answer:

6,000

Step-by-step explanation:

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3 years ago

The point (0, 0) is a solution to which of these inequalities? A. Y - 7 < 2 x - 6 B. Y - 6 < 2 x - 7 C. Y + 7 < 2 x - 6

SCORPION-xisa [38]

Answer:

A. y - 7 < 2 x - 6

Step-by-step explanation:

When you put the given values into the inequalities, you get ...

A: -7 < -6 . . . . true

B: -6 < -7 . . . . false

C: 7 < -6 . . . . .false

D: 7 < 6 . . . . . false

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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

Please answer will mark brainliest

klio [65]

Hello,

Since √25 = 5 and √36=6, it is known that √35 lies between 5 and 6. And then you drag the mouse to approximately 5.9 since √35 ≈ 5.9

Good Luck

8 0

3 years ago

If 14 people feeds on 3 cups of rice. how much rice feeds 17 people

AnnZ [28]

The answer is:

17*(3/14)

More detailed;

3/14 gives us how many it takes to feed 1 person, then we times the amount it takes to feed one person by 17 (to get 17 people)

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3 years ago

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