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Pani-rosa [81]
3 years ago
7

Solve for Xcould you explain the process of how to do this problem​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

<em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>

x=24

Step-by-step explanation:

x+180+156=360

180+156=336

x+336=360

x=360-336

x=24

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Need help for important quiz. I need the answers to all the blanks please!!!
Mekhanik [1.2K]

Answer:

$15.25=1h+2p+3s

$14=2h+0p+3s

$10.25=1h+2p+3s

Soda=$2.50

HotDog=$3.25

Popcorn:$2.25

Step-by-step explanation:

Just solve each one at a time :D

Gl on your quiz!

5 0
2 years ago
I WILL GIVE 11 POINTS BRAINIEST 5 STAR RATING HELP ME PLZ.
aalyn [17]

(ab + 174)/3 <115

multiply by 3 on each side

ab + 174 < 345

subtract 174 from each side

ab < 171


248+ ab >366

subtract 248 from each side

ab> 118


Answer  118< ab < 171

6 0
3 years ago
Find the ratio a:c if <br>a:b = 1:2, b:d = 4:5, d:c = 3:1<br>​
Makovka662 [10]

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

\frac{a}{c} = \frac{a}{b} × \frac{b}{d} × \frac{d}{c} = \frac{1}{2} × \frac{4}{5} × \frac{3}{1} = \frac{12}{10} = \frac{6}{5}

Thus a : c = 6 : 5

3 0
3 years ago
What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep
Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so m = 25, \mu = \frac{1}{25} = 0.04

We have to find P(X > 35)

P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so p = 0.2466

3 towers, so n = 3

We have to find:

P(X \geq 2) = P(X = 2) + P(X = 3)

In which

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

P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374

P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524

15.24% probability that at least 2 will still stand after 35 years

4 0
3 years ago
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