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One standard size for the United States flag is 19 feet by 10 feet. On a flag of this size, the union (the blue rectangle in the

amm1812

Answer: 0.127 feet by 0.090 feet

Step-by-step explanation:

Given that :

The USA's flag dimension = 19feet by 10feet

Union's (blue rectangle in the top left corner) dimension = 7 5/8 feet by 5 3/8 feet.

Union dimension for the shoulder patch of the USA flag used by astronauts for the Apollo mission has a scale factor of 1/60

Therefore, dimension of the union patch ;

1/60 * ( 7 5/8 feet by 5 3/8 feet)

1/60 * (61 / 8 feet by 43/8 feet)

61/480 feet by 43/480 feet

0.127 feet by 0.0895 feet

0.127 feet by 0.090 feet

7 0

4 years ago

How can I solve 2x+y=-3

Vladimir79 [104]

Answer:

If solving for x then x = -3/2 +y/2

If solving for y then y = -3-2x

Step-by-step explanation:

For x: Divide both sides by 2

For y: Subtract 2x from both sides of the equation

4 0

3 years ago

The poll found that 38% of a random sample of 1012 American adults said they believe in ghosts. What is the lower bound for a 90

Brrunno [24]

Answer:

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1012, \pi = 0.38$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.645\sqrt{\frac{0.38*0.62}{1012}} = 0.3549$

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

6 0

4 years ago

Mike has already driven 176 laps. The race is 250 laps long. How many more laps does he have to drive to finish the race?

Annette [7]

He has 74 more laps to finish the race.

7 0

3 years ago

Read 2 more answers

Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f

velikii [3]

Answer:

$\frac{dy}{dx}=-\frac{y+1}{x+1}$

Step-by-step explanation:

The given equation is $xy+x+y=6$

Differentiate both sides with respect to x

$x\frac{dy}{dx}+y+1+\frac{dy}{dx}=0$

Take y and 1 to other sides of the equation

$x\frac{dy}{dx}+\frac{dy}{dx}=-y-1$

Factor out dy/dx from the left hand side of the equation

$\frac{dy}{dx}(x+1)=-y-1$

Divide both sides by (x+1)

$\frac{dy}{dx}=\frac{-y-1}{x+1}\\\\\frac{dy}{dx}=-\frac{y+1}{x+1}$

7 0

3 years ago