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3 years ago

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Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

Try this:
1) if ratio=100/3, then 100/3=2600/x
x=26*3=78 p.
2) if (-2) ⇒ -3*(4)=-12 ⇒ answer: (-2;-12)
if (-1) ⇒ -3*(1)=-3 ⇒ answer: (-1;-3)
if 0 ⇒ -3*0=0 ⇒ answer: (0;0)
if 1 ⇒ -3*1=-3 ⇒ answer (1;-3)
if 2 ⇒ -3*4=-12 ⇒ answer: (2;-12)

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I roll a fair die twice and obtain two numbers X1= result of the first roll and X2= result of the second roll. Given that I know

azamat

By definition of conditional probability,

$P(X_1=4\text{ or }X_2=4\mid X_1+X_2=7)=\dfrac{P((X_1=4\text{ or }X_2=4)\text{ and }X_1+X_2=7)}{P(X_1+X_2=7)}$

$=\dfrac{P((X_1=4\text{ and }X_1+X_2=7)\text{ or }(X_2=4\text{ and }X_1+X_2=7))}{P(X_1+X_2=7)}$

Assuming a standard 6-sided fair die,

if $X_1=4$ , then $X_1+X_2=7$ means $X_2=3$ ; otherwise,
if $X_2=4$ , then $X_1=3$ .

Both outcomes are mutually exclusive with probability $\frac1{36}$ each, hence total probability $\frac2{36}=\frac1{18}$ .

Of the 36 possible outcomes, there are 6 ways to sum the integers 1-6 to get 7:

(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

and so a sum of 7 occurs $\frac6{36}=\frac16$ of the time.

Then the probability we want is

$P(X_1=4\text{ or }X_2=4\mid X_1+X_2=7)=\dfrac{\frac1{18}}{\frac16}=\frac13$

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3 years ago

Find 2.4% of $109. Show work.

Alex73 [517]

Answer:

$2.62

Step-by-step explanation:

$2.4\% \: of \: \$109 \: \\ \\ = \frac{2.4}{100} \times 109 \\ \\ = 0.024 \times 109 \\ \\ = \$2.616 \\ \\ \approx \: \$2.62$

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2 years ago

distance from the center of a compact disc to the edge of the disc 6 centimeters. what is the area of the compact disc

Sladkaya [172]

The answer is 113.04 cm^2. Distance from the center of a circular compact disc to its edge is actually its radius. So, radius is 6 cm. The area of the circle is: A = πr^2. π = 3.14, r = 6 cm. A = 3.14 * (6 cm)^2. A = 3.14 * 36 cm^2. A = 113.04 cm^2. The area of the compact disc is 113.04 cm^2.

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3 years ago

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kolbaska11 [484]

Answer:

It is 1/9 or 0.11111111111111

Step-by-step explanation:

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3 years ago

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EastWind [94]

Answer:

x=0 and y=2

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12.5x+ 2.5(5x+2)=5

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