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3 years ago

Porfavor ayudenme con esto.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

El area es 29,403

Step-by-step explanation..

27 x 33 = 891

891 x 33 = 29,403

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A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after

beks73 [17]

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

$h=32t - 16t^2$

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

$\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t$

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

7 0

3 years ago

We roll two fair 6-sided dice. Each of the 36 possible outcomes is assumed to be equally likely. (a) Given that the roll results

boyakko [2]

Answer:

a) $\frac{1}{7}$

b) $\frac{2}{15}$

Step-by-step explanation:

Given : We roll two fair 6-sided dice. Each of the 36 possible outcomes is assumed to be equally likely.

The outcomes are :

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

(a) Given that the roll results in a sum of 3 or more, find the conditional probability that doubles (the first and the second rolls result in the same number) are rolled.

Let P(A) be the probability of event that the roll results in a sum of 3 or more.

Except (1,1) rest sum is 3 or greater than 3.

So, $P(A)=\frac{35}{36}$

Now, P(A and B) is that the roll results in a sum of 3 or more and that doubles (the first and the second rolls result in the same number) are rolled.

i.e. (2,2), (3,3), (4,4), (5,5), (6,6) - 5

$P(A\cap B)=\frac{5}{36}$

The conditional probability is given by,

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

$P(B|A)=\frac{\frac{5}{36}}{\frac{35}{36}}$

$P(B|A)=\frac{5}{35}$

$P(B|A)=\frac{1}{7}$

(b) Given that the two dice land on different numbers, find the conditional probability that the sum is 5.

Let P(A) be the probability of event that two dice land on different numbers.

Except (1,1),(2,2), (3,3), (4,4), (5,5), (6,6) rest two dice land on different numbers.

So, $P(A)=\frac{30}{36}$

Now, P(A and B) is that two dice land on different numbers and the sum is 5.

i.e. (1,4), (2,3), (3,2), (4,1) - 4

$P(A\cap B)=\frac{4}{36}$

The conditional probability is given by,

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

$P(B|A)=\frac{\frac{4}{36}}{\frac{30}{36}}$

$P(B|A)=\frac{4}{30}$

$P(B|A)=\frac{2}{15}$

4 0

3 years ago

Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution. x = 4, solution is ex

Darya [45]

$\text{The domain:}\\2x+1\geq0\to 2x\geq-1\to x\geq-0.5\\\\D:x\geq0.5\to x\in\left\ \textless \ 0.5;\ \infty\right)\\\\\sqrt{2x+1}=3\ \ \ \ |\text{square both sides} \\2x+1=3^2\\2x+1=9\ \ \ |-1\\2x=8\ \ \ \ |:2\\x=4\in D\\\\\text{Answer: x =0, solution is not extraneous}.$

5 0

3 years ago

Read 2 more answers

A bakery makes a $5 profit for each cake it sells. It makes

oee [108]

Answer:

$92

Step-by-step explanation:

Find the profit by plugging in 10 as c and 7 as p into the expression:

5c + 6p

5(10) + 6(7)

50 + 42

= 92

So, the bakery will make $92

7 0

3 years ago

-3√-20 written as a complex number

galben [10]

Answer: 3√-20 = 3√20√-1 = (3√20)i

Step-by-step explanation:

√-20 can be written √20√-1 since

(√20√-1)^2 is indeed -20.

3 0

3 years ago