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3 years ago

Analyze this equation.

Mathematics

2 answers:

Alona [7]3 years ago

6 0

Answer:

=−1

Step-by-step explanation:

1. Distribute

2.Subtract 6 from both sides of the equation

3.Simplify

4.Subtract 5x from both sides of the equation

5.Simplify

6.Divide both sides of the equation by the same term

7.Simplify

so the answer is =−1

sammy [17]3 years ago

3 0

The answer is b. Hope this helped

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Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a me

ivanzaharov [21]

Answer:

a) 0.30854

b) 0.21186

c) 0.23468

Step-by-step explanation:

Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.

We solve using z score formula.

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Find the probability that a randomly selected customer will have to wait

a) less than 25 minutes

for x < 25 minutes

z = 25 - 30/10

z = -0.5

Probability value from Z-Table:

P(x<25) = 0.30854

b) more than 38 minutes

For x > 38 minutes

z = 38 - 30/10

z = 0.8

Probability value from Z-Table:

P(x<38) = 0.78814

P(x>38) = 1 - P(x<38) = 0.21186

c) between 26 and 32 minutes

For x = 26 minutes

z = 26 - 30/10

z = -0.4

Probability value from Z-Table:

P(x = 26) = 0.34458

For x = 32 minutes

z = 32 - 30/10

z = 0.2

Probability value from Z-Table:

P(x = 32) = 0.57926

The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:

P(x = 32) - P(x = 26)

= 0.57926 - 0.34458

= 0.23468

4 0

3 years ago

What is the area of this figure

anastassius [24]

Answer:

185

Step-by-step explanation:

sorry. had to do something but im bsck :)

5 0

3 years ago

Read 2 more answers

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

4 years ago

The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say

creativ13 [48]

Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,