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Fiesta28 [93]
2 years ago
9

(20 POINTS PLS HELP!!)

Mathematics
2 answers:
dimulka [17.4K]2 years ago
4 0

Answer:

c

Step-by-step explanation:

there is an endpoint at A and the line continues on after g

dsp732 years ago
3 0

Answer:

C)

Step-by-step explanation:

If the number line goes from one side to another, it is going from left to right (AKA, AG), and the number line already has an arrow going to the right, but none going to the left, so the arrow on top, has to also be facing the right.

hope this helps!

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What is the solution to the equation?
Lisa [10]
3q + 5 = -2q + 20

add 2q to both sides.

5q + 5 = 20

subtract 5 to both sides.

5q = 15

divide 5 to both sides.

q = \frac{15}{5}

the answer is: q = 3 
5 0
3 years ago
11. Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x) 5 5 0 x , 0
NISA [10]

Question not properly presented

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x)

0 ------ x<0

x²/25 ---- 0 ≤ x ≤ 5

1 ----- 5 ≤ x

Use the cdf to obtain the following.

(a) Calculate P(X ≤ 4).

(b) Calculate P(3.5 ≤ X ≤ 4).

(c) Calculate P(X > 4.5)

(d) What is the median checkout duration, μ?

e. Obtain the density function f (x).

f. Calculate E(X).

Answer:

a. P(X ≤ 4) = 16/25

b. P(3.5 ≤ X ≤ 4) = 3.75/25

c. P(4.5 ≤ X ≤ 5) = 4.75/25

d. μ = 3.5

e. f(x) = 2x/25 for 0≤x≤2/5

f. E(x) = 16/9375

Step-by-step explanation:

a. Calculate P(X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(X ≤ 4) = F(x) {0,4}

P(X ≤ 4) = x²/25 {0,4}

P(X ≤ 4) = 4²/25

P(X ≤ 4) = 16/25

b. Calculate P(3.5 ≤ X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(3.5 ≤ X ≤ 4) = F(x) {3.5,4}

P(3.5 ≤ X ≤ 4) = x²/25 {3.5,4}

P(3.5 ≤ X ≤ 4) = 4²/25 - 3.5²/25

P(3.5 ≤ X ≤ 4) = 16/25 - 12.25/25

P(3.5 ≤ X ≤ 4) = 3.75/25

(c) Calculate P(X > 4.5).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(4.5 ≤ X ≤ 5) = F(x) {4.5,5}

P(4.5 ≤ X ≤ 5) = x²/25 {4.5,5}

P(4.5 ≤ X ≤ 5)) = 5²/25 - 4.5²/25

P(4.5 ≤ X ≤ 5) = 25/25 - 20.25/25

P(4.5 ≤ X ≤ 5) = 4.75/25

(d) What is the median checkout duration, μ?

Median is calculated as follows;

∫f(x) dx {-∝,μ} = ½

This implies

F(x) {-∝,μ} = ½

where F(x) = x²/25 for 0 ≤ x ≤ 5

F(x) {-∝,μ} = ½ becomes

x²/25 {0,μ} = ½

μ² = ½ * 25

μ² = 12.5

μ = √12.5

μ = 3.5

e. Calculating density function f (x).

If F(x) = ∫f(x) dx

Then f(x) = d/dx (F(x))

where F(x) = x²/25 for 0 ≤ x ≤ 5

f(x) = d/dx(x²/25)

f(x) = 2x/25

When

F(x) = 0, f(x) = 2(0)/25 = 0

When

F(x) = 5, f(x) = 2(5)/25 = 2/5

f(x) = 2x/25 for 0≤x≤2/5

f. Calculating E(X).

E(x) = ∫xf(x) dx, 0,2/5

E(x) = ∫x * 2x/25 dx, 0,2/5

E(x) = 2∫x ²/25 dx, 0,2/5

E(x) = 2x³/75 , 0,2/5

E(x) = 2(2/5)³/75

E(x) = 16/9375

4 0
2 years ago
What is 314.16 rounded to the nearest hundredth
Galina-37 [17]

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

4 0
2 years ago
A flagpole flying the Ohio state flag is 9/10 the height of a 30-foot-tall flagpole that is flying the U.S. Flag. What is the he
Oksanka [162]
The answer to this problem is 27
5 0
3 years ago
The amount Diego charges to detail an SUV is proportional to the time it takes him to detail the vehicle. Diego charges $37.50 t
prisoha [69]

Answer:

d = 15h

Step-by-step explanation:

Given

Charges\ \alpha\ Time

Represent charges with d and time with h

So:

d = \$37.50 when t = 2.50\ hours

Required

Determine the formula

Charges\ \alpha\ Time

In other words,

d\ \alpha\ h

Convert to an equation

d = k * h

Where

k = constant of proportion

Substitute values for Charges and Time

37.50 = k * 2.5

Solve for k

k = 37.50/2.50

k = 15

Substitute 15 for k in d = k * h

d = 15 * h

d = 15h

<em>The above formula models the situation</em>

8 0
3 years ago
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