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4 years ago

What was the price per gallon of milk

Mathematics

1 answer:

sesenic [268]4 years ago

4 0

4 4 4 4 Its That One

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Genrish500 [490]

Answer: Vertical angles are congruent.

Step-by-step explanation:

In the given picture, NS and RT are intersecting line segments, intersects at point Q.

We know that when two lines intersect to make an cross, angles on opposite sides of the cross are called vertical angles. These angles are equal by the theorem that says Vertical angles are congruent.

⇒∠NQT ≅ ∠SQR

Therefore, the reason that justifies the step 2 :- ∠NQT ≅ ∠SQR is "Vertical angles are congruent" in the proof.

3 0

3 years ago

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The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

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:

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

The average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

4 0

3 years ago

3(2x-4)>-12 solve for x?

Darina [25.2K]

Answer:

x > 0

Step-by-step explanation:

6x -12 > -12

6x > -12 +12

6x > 0

x > 0/6

x > 0

7 0

3 years ago

What is the value of 7x2 + 2x when x = 3

Sophie [7]

Answer:

The answer is 20

Step-by-step explanation:

2x=6 and then 7x2=14 then 14+6=20

3 0

3 years ago

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4(b+2)=40 what is the value of b?

Katarina [22]

Answer:

Step-by-step explanation:

4b+8=40

4b=32

b=8

7 0

3 years ago

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