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3 years ago

Which ordered pair is the reflection of (3, 10) across the x-axis?

Mathematics

2 answers:

polet [3.4K]3 years ago

7 0

Answer:

(3,-10) try plotting all points and you'll find your answer.

AleksandrR [38]3 years ago

3 0

(3, -10) as only the x value will change

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An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 i

slava [35]

Answer:

Step-by-step explanation:

5 0

3 years ago

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I don't know how to do in phone but will try to make u brainliest if u answer these Q for me..

AnnZ [28]

Answer:

Step-by-step explanation:

18 cubic units.

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Length = 90÷(6×3) = 10 units

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10 cubes × (4 cm³)/cube = 40 cm³

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2×5×6

and

5×3×4

6 0

3 years ago

3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20

padilas [110]

I'll do a similar problem, and I challenge you to do this on your own using similar methods!

x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10

Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with

-36y-13z=-92
and
-48y-25z=-217

Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217

Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3

Dividing both sides by (7+2/3) to separate the z, we get
z= $\frac{282/3}{23/3} = \frac{282}{23}$

Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get
$y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}$

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
$x=23- \frac{217-25*282/23}{48}*5-2*282/23$

Good luck, and feel free to ask with any questions!

4 0

3 years ago

In your class, there are 15 students with brown hair, 3 students with blonde hair, and 5 students with black hair. What is the r

sammy [17]

The answer's 3:1 after simplifying it down

3 0

3 years ago

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