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3 years ago

FIRST ONE TO ANSWER GETS THE BRAINLIEST!!!

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

A. 144 feet.

Step-by-step explanation:

f(x) = -16x^2 + 96x.

The maximum height is 144, as time (x) = 3. More than 3 seconds after, it'll fall back down.

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

6 0

3 years ago

= (1) - (179+6)<br> (9+52i)-(1)

deff fn [24]

179+6=185

1-185= -184

9-1+52i= 8+52i

4 0

3 years ago

Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

8 0

3 years ago

Figure B is the image of Figure A when reflected across line ℓ. Are Figure A and Figure B congruent

soldi70 [24.7K]

Answer:

If they are reflection. I think they are congruent

Step-by-step explanation:

5 0

3 years ago

ΔBLK is ≅ to Δ What? by the rule of:

UNO [17]

It is triangle ACK by the rule of AAS.

Angle, Angle, Side

6 0

3 years ago