A cell phone plan cost $150 to start. Then there is a $ charge each month

Answers

Answer 1
Answer:

Answer:

$250

Step-by-step explanation:

I just looked up the question and saw the exact same one so.


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1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a, b] of [2, 10]. (b) From (a), find the probability that X > 5, that 5 < X < 7, and that X2 − 12X + 35 > 0.

Answers

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is (1)/(8)

b) P(X>5) = \int\limits^10_5 {1/8} \, dx = (5)/(8)

P(5<x<7) = (2)/(8) =(1)/(4)

For

x^2-12x+35 >0\n(x-5)(x-7)>0\nx<5 or x >7

P(X<5 or x>7) = 1-P(5<x<7)

= (3)/(4)

Final answer:

The density functionof a real number selected randomly within the range [2,10] is 1/8, with the probability of an event being the difference between the two values divided by 8. The probabilities that X is greater than 5, lies between 5 and 7 and that the inequality X^2 - 12X + 35 > 0 always holds are 5/8, 1/4 and 1 respectively.

Explanation:

The subject of this question is probability, particularly continuous uniform distribution. (a) A real number X selected from a certain interval [2, 10] has a continuous uniform distribution. Hence, the density function f(x) = 1/(b-a) = 1/8 for 2 ≤ x ≤ 10 and0otherwise. The probability of an event E, where E is [a,b], is the integral of f(x) from a to b, which is (b-a)/(10-2).

(b) Probability that X > 5 is the integral of f(x) from 5 to 10, which is (10-5)/8 = 5/8. Probability that 5 < X < 7 is the integral from 5 to 7, which is (7-5)/8 = 1/4. Lastly, the inequality X^2 - 12X + 35 > 0 factors out to (X-5)^2 + 10 > 0 which is always true as square number is always non-negative, thus the probability is 1.

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What is the slope of the line between (-4, 4) and (-1, -2)? (1 point)0 1
C 2
0-2
-1

Answers

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 4 / -1 - (-4)

-2 - 4 / -1 + 4

-6 / 3

2

Rewrite the fraction in simplest form.
10/50

Answers

Answer:

(1)/(5)

Step-by-step explanation:

we have

(10)/(50)

Simplify, divide numerator and denominator by 10

((10/10))/((50/10))=(1)/(5)

Simplest form of the fraction is 1/5.

Given,

Fraction : 10/50

Now,

Greatest common factor of 10, 50:

Greatest number which is a factor of 10 and 50 is 10.

So,

Divide numerator and denominator by 10 to simplify the fraction,

⇒(10/10)/(50/10)

⇒ 1/5

Thus the simplified form is 1/5.

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What is each sum or difference?(7-2i)+(-3+i)


(1+5i)-(3-2i)


(8+6i)-(8-6i)


(-3+9i)+(3+9i)

Answers

1. 4-i
2. -2+3i
3. 0
4. 18i

Answer it answer it answer it

Answers

Answer:

It is 22.5

Step-by-step explanation:

add up all they shaded parts:

22.5 x 4 = 90 degrees

as each unshaded part is three times more then you do 22.5 x 3 for one part

22.5 x 3 = 67.5 degrees

then times by four because there is four unshaded sections.

67.5 x 4 = 270 degrees

270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.

Answer:

22.5

Step-by-step explanation:

cause

Solve.2x + 6 ≥ –4

A.
x ≤ –5

B.
x ≥ –8

C.
x ≤ –8

D.
x ≥ –5

Answers

Hello,

Answer D

2x+6>=-4
==>2x>=-10
==>x>=5