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3 years ago

Find the slope of the line on the graph.

Mathematics

2 answers:

Naddik [55]3 years ago

7 0

Remember, you find slope values by finding two points on lines within the slope.

Slope= y2-y1/ x2-x1.

(x,y)

I found (0,4), 1, and (2,2), 2.

The answer is -8/2, simplified, -4/1.

Hope this helped.

Rzqust [24]3 years ago

5 0

Answer:

y = 3x + 4

Step-by-step explanation:

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Scott drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would he need to drive 284 miles?

Lisa [10]

It should be somewhere around 13.6

3 0

3 years ago

Find ordered pairs: choose two of the answers below

Anarel [89]

Answer:

b -3,3 c 6,9 hope this helps

5 0

3 years ago

Exercise 5.2. Suppose that X has moment generating function

soldi70 [24.7K]

Answer:

a) Mean, E(X) = - 0.5

Variance = = 9.25

b) $M_{X}(t)=E(e^{tX})$

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Step-by-step explanation:

Given:

moment generating function of X as:

MX(t) = $\frac{1}{2} + \frac{1}{3}e^{-4t} + \frac{1}{6} e^{5t}$

a) Now

Mean, E(X) = $M_{X}'(t=0)$

Thus,

$M_{X}'(t)=\frac{1}{3}(-4)e^{-4t}+\frac{1}{6}(5)e^{5t}$

$M_{X}'(t)=\frac{-4}{3}e^{-4t}+\frac{5}{6}e^{5t}$

also,

$E(X^{2})=M_{X}''(t=0)$

Thus,

$M_{X}''(t)=\frac{-4}{3}(-4)e^{-4t}+\frac{5}{6}(5)e^{5t}$

$M_{X}''(t)=\frac{16}{3}e^{-4t}+\frac{25}{6}e^{5t}$

Therefore,

Mean, E(X) = $M_{X}'(t=0)=\frac{-4}{3}e^{-4(0)}+\frac{5}{6}e^{5(0)}$

Mean, E(X) = - 0.5

and

$E(X^{2})=M_{X}''(t=0)=\frac{16}{3}e^{-4(0)}+\frac{25}{6}e^{5(0)}$

$E(X^{2})$ = 9.5

also,

Variance(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

b) Now,

Let f(x) be the PMF of X

Thus,

$M_{X}(t)=E(e^{tX})$

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Therefore,

at x = 0, P(x) = $\frac{1}{2}$

at x= - 4 ,P(x) = $\frac{1}{3}$

at x = 5, P(x) = $\frac{1}{6}$

Thus,

E(X) = $\sum xP(x)=0(\frac{1}{2})+(-4)(\frac{1}{3})+5(\frac{1}{6})$

E(X) = - 0.5

also, $E(X^{2})=\sum x^{2}P(x)=0^{2}(\frac{1}{2})+(-4)^{2}(\frac{1}{3})+5^{2}(\frac{1}{6})$

$E(X^{2})$ = 9.5

Hence,

Var(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

4 0

4 years ago

An item is priced at $14.54. If the sales tax is 7%, what does the item cost including sales tax?

fredd [130]

...................................15.01

7 0

4 years ago

Demand for a specific design of dinning sets has been fairly large in the past several years and Statewide Furnishings, Inc. usu

V125BC [204]

Answer:

1. a. 117.

2. $2,051.48

3. 592.82

4. 1472.01

5. d. 4116.11

6. d. 24

Step-by-step explanation:

Economic Order Quantity : $\sqrt{\frac{2 * Annual Demand *ordering cost}{Holding cost per unit } ( \frac{Holding cost + Shortage Cost}{Shortage cost }) }$

Economic order quantity is $\sqrt{\frac{2 * 600 * 400}{50} (\frac{50 + 120}{120} )}$

EOQ = 117

2. ordering cost :

( total demand / EOQ ) * Ordering cost

( 600 / 117 ) * 400 = $2051.28

3. Holding cost :

Total demand * holding cost per unit

= 592.82

Reorder Point = Daily Demand * lead time

Reorder point = 600 / 350 * 14 = 24

3 0

3 years ago