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2 years ago

This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.

Mathematics

1 answer:

icang [17]2 years ago

8 0

There is not enough information to answer this question

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

A local hamburger shop sold a combined total of 754 hamburgers and cheeseburgers on Saturday. There was 54 more cheeseburgers so

DochEvi [55]

Answer: 323 hamburgers

754/2=377
377 ham 377 cheese
54 more cheese than ham
377 ham - 54 = 323 hamburgers total sold on Saturday

7 0

2 years ago

Assume the sales representative calls 6 customers, and each call has 4 possible results: reaches the customer in person, gets an

KonstantinChe [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

Help please asap. best answer gets brainliest.

schepotkina [342]

Answer:

Step-by-step explanation:

4 is coefficient

x is variable

12 is constant

5 0

3 years ago

Read 2 more answers

If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its he

natta225 [31]

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

(h, k) is the vertex point

h = $\frac{-b}{2a}$ and k = f(h)

(h, k) is a minimum point if a > 0 and a maximum point if a < 0

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = $\frac{-128}{2(-16)}$ = $\frac{-128}{-32}$

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

4 0

3 years ago