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Temka [501]
2 years ago
14

2 times x minus 5 is 7. What is x?

Mathematics
1 answer:
myrzilka [38]2 years ago
4 0

Answer:

6

Step-by-step explanation:

take 7 add 5 and then u get 12 so u take half of that and u get 6

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A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of
amid [387]

Answer:To find out the theoretical probability of the case given, we need to make certain assumptions.

First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

   Answers 10 questions.

   Each question has 4 options with only one correct answer and all other incorrect answers.

   Student is equally likely to pick any outcome in any given question.

   Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

   The number of trials is 10.

   Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

6 0
3 years ago
Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6
yan [13]
Each curve completes one loop over the interval 0\le t\le2\pi. Find the intersections of the curves within this interval.

6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi

The region of interest has an area given by the double integral

\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta

equivalent to the single integral

\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta

which evaluates to 9\pi+72.

8 0
3 years ago
Find the slope of each line. PLS HELP TYSMMMM!
umka2103 [35]

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

4 0
2 years ago
WORTH 100 POINTS. WILL GIVE BRIANLIEST. Six contestants on a reality TV show were stunned to find their lowest scoring colleague
Brut [27]

Answer:

8 The victim wasn't mauled by a cougar - Clue 1

20 Dr. Alpha was in the kitchen cooking - Clue 2

-12 The victim had no venomous bites - Clue 3

72 Miss Beta was at the movie theater - Clue 4

14 The victim wasn't electrocuted - Clue 5

14 Coach Omega was sleeping at the atrium - Clue 6

-8 The murder did not include a firearm - Clue 7

-12 Mrs.Gamma was doing yoga at the gym - Clue 8

169 The murder wasn't drowning - Clue 9

-274 Mr.Epsilon was swimming laps at a pool - Clue 10

is what i know, i will figure out in a bit! :D

Step-by-step explanation:

6 0
2 years ago
Quadratic equations and complex numbers PLEASE HELPPPP ASAP
kondor19780726 [428]

we are given

27x^3-1=0

we can also write it as

(3x)^3-(1)^3=0

now, we can use factor formula

a^3-b^3=(a-b)(a^2+ab+b^2)

we can use above formula

we get  

(3x)^3-(1)^3=(3x-1)((3x)^2+3x\times 1+(1)^2)

now, we can simplify it

27x^3-1=(3x-1)(9x^2+3x+1)

now, we can set it to 0

27x^3-1=(3x-1)(9x^2+3x+1)=0

and then we can solve for x

(3x-1)(9x^2+3x+1)=0

3x-1=0

x=\frac{1}{3}

9x^2+3x+1=0

now, we can use quadratic formula

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can plug values

and we get

x=\frac{-3\pm \sqrt{3^2-4\cdot \:9\cdot \:1}}{2\cdot \:9}

x=-\frac{1}{6}+i\frac{\sqrt{3}}{6},\:x=-\frac{1}{6}-i\frac{\sqrt{3}}{6}

So, we will get solution as

x=\frac{1}{3},\:x=-\frac{1}{6}+i\frac{\sqrt{3}}{6},\:x=-\frac{1}{6}-i\frac{\sqrt{3}}{6}...............Answer

5 0
3 years ago
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