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dmitriy555 [2]
3 years ago
13

If the area of a square living room is 169 square feet . What is the perimeter of the room

Mathematics
2 answers:
stich3 [128]3 years ago
8 0
The one wall would be 13 feet long.
13+13+13+13= 52 feet.
Mariana [72]3 years ago
4 0
A = s^2
169 = s^2
Take the sqrt of both sides
13 = s
P = 4s
P = 4(13)
P = 52 ft
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Solve ( x + 1 < 5) ∩ ( x - 4 > -3).
qaws [65]

The intersection of (x+1-3) is (1,4)

Explanation:

The expression is (x+1-3)

To determine the intersection of these two inequalities, let us solve the two inequalities separately.

Consider x+1

Subtracting both sides by 1, we have,

x

Also, consider x-4>-3

Adding both sides by 4, we have,

x>1

Using these two simplified inequalities in the expression, we have,

(x1)

Writing this in the interval notation, we get,

(-\infty, 4) \cap(1, \infty)

Hence, the intersection of the two interval is

(1,4)

Thus, the intersection of (x+1-3) is (1,4)

3 0
3 years ago
A manager at a company that manufactures cell phones has noticed that the number of faulty cell phones in a production run of ce
ExtremeBDS [4]

Answer:

a) Poisson probability distribution

b) The probability of no faulty cell phones will be produced​ tomorrow is 0.1653

c) The probability of 3 or more faulty cell phones were produced in​ today's run is 0.2694

Step-by-step explanation:

Poisson distribution is used for independent events which occur at a constant rate within a given interval of time

The Poisson probability distribution formula is P(x; μ) = (e^-μ) (μ^x) / x! where

x is the actual number of successes that result from the experiment

e is approximately equal to 2.71828

μ  is the mean of the distribution

The number of faulty cell phones in a production run of cell phones is usually small and that the quality of one​ day's run seems to have no bearing on the next day

That means the probability of finding faulty phones in first day not depend on finding another days

Then the model might you use to model the number of faulty cell phones produced in one​ day is Poisson probability distribution

a) Poisson probability distribution

∵ The mean number of faulty cell phones is 1.8 per​ day

∴ μ = 1.8

∵ There is no faulty cell phones will be produced​ tomorrow

∴ x = 0

- Use the formula above to find the probability

∵ P(0 ; 1.8) = (e^-1.8) (1.8^0) / 0!

- Remember 1.8^0 = 1 and 0! = 1

∴ P(0 ; 1.8) = (e^-1.8)(1)/(1)

∴ P(0 ; 1.8) = 0.1653

b) The probability of no faulty cell phones will be produced​ tomorrow is 0.1653

∵ The mean number of faulty cell phones is 1.8 per​ day

∴ μ = 1.8

∵ There is 3 or more faulty cell phones were produced in​ today's run

∴ x ≥ 3

∵ P(x ≥ 3) = 1 - P(x = 0) - P(x = 1) - P(x = 2)

- Let us find P(1 ; 1.8) and P(2 ; 1.8)

∵ P(1 ; 1.8) = (e^-1.8) (1.8^1) / 1!

∵ 1.8^1 = 1.8

∵ 1! = 1

∴ P(1 ; 1.8) = (e^-1.8)(1.8)/(1)

∴ P(1 ; 1.8) = 0.2975

∵ P(2 ; 1.8) = (e^-1.8) (1.8^2) / 2!

∵ 1.8^2 = 3.24

∵ 2! = 2

∴ P(2 ; 1.8) = (e^-1.8)(3.24)/(2)

∴ P(2 ; 1.8) = 0.2678

Substitute them in the rule above

∵ P(x ≥ 3 ; 1.8) = 1 - 0.1653 - 0.2975 - 0.2678

∴ P(x ≥ 3 ; 1.8) = 0.2694

c) The probability of 3 or more faulty cell phones were produced in​ today's run is 0.2694

7 0
3 years ago
I need help with this ASAP!
Ahat [919]
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.

FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.

(2x+5)(x-2)

The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:

2x^2 - 4x +5x - 10

Combine like terms:

2x^2 + x - 10

The third option is the correct answer.




8 0
3 years ago
Which step should be completed first to solve the equation --2 = 3z + 4 ?
IRINA_888 [86]
Subtract four from both sides. That'll put both numbers without a variable on one side, and the number with the variable is by itself.
4 0
3 years ago
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mash [69]
If <a=90 or <b=90 or < c=90  the triangle is right
if one of the angles is > 90 the triangle is obtuse
if all the angles are < 90 the triangle is acute
8 0
3 years ago
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