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Daniel [21]
3 years ago
9

What is the distance between P(-3,-25) and Q(50,-2)

Mathematics
1 answer:
Karolina [17]3 years ago
4 0
Dist =   (x2-x1)^{2} +  (y2-y1)^{2}

above  is the distance formula, plugging your numbers from P(x1,y1) and Q(x2,y2).

Dist =  \sqrt{(50-(-3))^{2}  + (-2-(-25))^{2} }
or\sqrt{ 53^{2} + 23 ^{2} }


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The radius of the large sphere is times longer than the radius of the small sphere.
jeka94

Answer:

1/3

Step-by-step explanation:

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daniel's basketball team won 23 games and lost 8 games. Write the ratio of wins to losses in simplest form.
Soloha48 [4]
23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest
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3 years ago
(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun
love history [14]

Answer:

a) f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

b) P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

c) P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

d) P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

X \sim Unif (a=4, b =11)

Part a

The probability density function is given by the following expression:

f(x) = \frac{1}{b-a} , a \leq x \leq b

f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

Part b

We want this probability:

P(X \leq 7)

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}

And replacing we got:

P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

Part c

We want this probability:

P(5 < X \leq 7)

And we can use the CDF again and we have:

P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

Part d

We want this conditional probabilty:

P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

7 0
3 years ago
Hank is buying a shirt that originally cost $25.00. It was on sale two weeks ago for 10% off. Today, it is an additional 20% off
Bogdan [553]

Answer:

$18

Step-by-step explanation:

The initial price is $25

When the first 10% is off, the new amount is (100 - 10)% x 25

= 0.9 x 25

= 22.5

With an additional 20%

the new amount is (100 - 20)% x 22.5

= 0.8 x 22.5

= $18

6 0
3 years ago
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