F m∠A = 110 degrees and m∠B = 35 degrees, find m∠1.

A fire department in a rural county reports that its response time to fires is approximatelyNormally distributed with a mean of

____ [38]

Answer:

Option C) 0.25

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22 minutes

Standard Deviation, σ = 11.9 minutes

We are given that the distribution of response time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(response times is over 30 minutes)

P(x > 30)

$P( x > 30) = P( z > \displaystyle\frac{30 - 22}{11.9}) = P(z > 0.6722)$

$= 1 - P(z \leq 0.6722)$

Calculation the value from standard normal z table, we have,

$P(x > 30) = 1 - 0.749= 0.251 = 25.1\%$

Thus, the correct answer is

Option C) 0.25

3 0

2 years ago

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

2 years ago

Complete the long division problem on your own sheet of paper. Then, fill in the digits.

zvonat [6]

Step-by-step explanation:

Answer attached..

<h2>MARK ME AS BRAINLIST </h2>

3 0

1 year ago

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2x-50=150 Someone please help me out

Charra [1.4K]

Start out by adding 50 to both sides.

2x - 50 + 50 = 150 + 50
which simplifies to
2x = 200

then divide both sides by 2
2x ÷ 2 = 200 ÷ 2
which simplifies to
x = 100

And that is your answer! Hope this helps :)

4 0

2 years ago

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At a candy store, Erika bought 3 kilograms of cinnamon red hors and 1 kilogram of gummy bears for $21.00. Meanwhile, trene bough

prisoha [69]

The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00

Step-by-step explanation:

Let,

Cost of one kilogram of cinnamon red hots = x

Cost of one kilogram of gummy bears = y

According to given statement;

3x+y=21 Eqn 1

3x+3y=39 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(3x+3y)-(3x+y)=39-21\\3x+3y-3x-y=18\\2y=18$

Dividing both sides by 2

$\frac{2y}{2}=\frac{18}{2}\\y=9$

Putting y=9 in Eqn 1

$3x+9=21\\3x=21-9\\3x=12$

Dividing both sides by 3

$\frac{3x}{3}=\frac{12}{3}\\x=4$

The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

2 years ago