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3 years ago

Find the solution(s) to (x-3)^2=49. Check all that apply

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:

B. x = -4

E. x = 10

Step-by-step explanation:

$(x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4$

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When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f

Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

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: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

$P(A) = 0.0286 + 0.1*0.9714 = 0.12574$

Probability of you winning and fireworks going off:

100% of 1/35, so $P(A \cap B) = 0.0286$

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275$

0.2275 = 22.75% probability that you actually won that round

8 0

3 years ago

What is the PE of an object that is 15kg that is 5.0 M above the ground?

seropon [69]

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

8 0

3 years ago

What is the relationship between the lines determined by the following two equations?

-BARSIC- [3]

Answer:

Step-by-step explanation:

to determine the relationship between these two lines you have to find the slope.

=> if they have the same slope ,then they are parallel.

=> if they have negative inverse slope relative to each other ,then they are perpendicular.

=> if the slope for both equations is neither of the above cases ,then the two equations are neither parallel nor perpendicular.

so if we divide the first equation by 3 which is the commen factor for the whole equation and arrange it in the form y=mx +b it would give us y =5x +4. and since the two have the same slope which is 5 ,then we can conclude they are <u>parallel lines.</u>

6 0

2 years ago

I need a lil help :) and explanation

Musya8 [376]

Answer:

negative

Step-by-step explanation:

right-to-left is positive

left-to-right is negative

6 0

3 years ago

Read 2 more answers