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3 years ago

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An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finis

hing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.

2 answers:

Art [367]3 years ago

3 0

9514 1404 393

Answer:

yes

Step-by-step explanation:

10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12

The weight with the added screws is still below 12 ounces.

olganol [36]3 years ago

3 0

Answer:

we have

10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12

The weight with the added screws is still below 12 ounces.

yes the design be within the desired weight limit

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Let X be a Bernoulli rv with pmf as in Example 3.18. a. Compute E(X2 ). b. Show that V(X) 5 p(1 2 p). c. Compute E(X79).

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The Bernoulli distribution is a distribution whose random variable can only take 0 or 1

The value of E(x2) is p
The value of V(x) is p(1 - p)
The value of E(x79) is p

<h3>How to compute E(x2)</h3>

The distribution is given as:

p(0) = 1 - p

p(1) = p

The expected value of x2, E(x2) is calculated as:

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * (1- p) + 1^2 * p$

Evaluate the exponents

$E(x^2) = 0 * (1- p) + 1 * p$

Multiply

$E(x^2) = 0 +p$

Add

$E(x^2) = p$

Hence, the value of E(x2) is p

<h3>How to compute V(x)</h3>

This is calculated as:

$V(x) = E(x^2) - (E(x))^2$

Start by calculating E(x) using:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * (1- p) + 1 * p$

$E(x) = p$

Recall that:

$V(x) = E(x^2) - (E(x))^2$

So, we have:

$V(x) = p - p^2$

Factor out p

$V(x) = p(1 - p)$

Hence, the value of V(x) is p(1 - p)

<h3>How to compute E(x79)</h3>

The expected value of x79, E(x79) is calculated as:

$E(x^{79}) = \sum x^{79} * P(x)$

So, we have:

$E(x^{79}) = 0^{79} * (1- p) + 1^{79} * p$

Evaluate the exponents

$E(x^{79}) = 0 * (1- p) + 1 * p$

Multiply

$E(x^{79}) = 0 + p$

Add

$E(x^{79}) = p$

Hence, the value of E(x79) is p

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F(x) = -x² + 6 <br> Find f(-3).

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Answer:

Step-by-step explanation:

f(-3)= -(-3)^2+6= -9 + 6 = -3

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A tuxedo rental service charges a $150 flat fee for a suit plus $50 per additional day. Write and solve an equation to determine

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Answer:

150+50*4=350

Step-by-step explanation:

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.

frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. $m = -\frac{23350}{13}$

c. $y = -\frac{23350}{13}x + 23350$

Step-by-step explanation:

Given

$Years = 13$

$Total\ depreciation = \$23350$

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

$m = \frac{23350}{13}$

Because it is depreciation, it means the slope represents a deduction.

So,

$m = -\frac{23350}{13}$

Solving (c): The straight line equation

The general format of an equation is:

$y = mx + b$

Where

$m = slope$

$b = y\ intercept$

In (a), we have that:

$y\ intercept = 23350$

In (b), we have that:

$Slope\ (m) = -\frac{23350}{13}$

Substitute these values in $y = mx + b$

$y = -\frac{23350}{13}x + 23350$

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