Must list steps! 15 Points! Will mark brainliest! Find the roots for f(n)=n^2-6n-16

Part B: In complete sentences, explain how a circle can be used to find the circumcenter of the triangle graphed below.

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

Part B:

The center of the circumscribed circle around a triangle is equidistant from vertices of that triangle. To find the circumcenter need to draw at least two perpendicular bisectors to the sides of the given triangle. Point of intersect of them is center of the circumscribed circle.

Part C:

Coordinates of the midpoint of line BC ( y = - 1 ) are

( $\frac{-6+2}{2}$ , $\frac{-1-1}{2}$ ) = ( - 2 , - 1 ) and the equation of the line ⊥ to BC is x = - 2

Because BC is ║ to x-axis and m∠A is 90° , the center of the circle is midpoint of BC and r = $\frac{BC}{2}$ = 4

3 0

1 year ago

Use the sample information 11formula13.mml = 37, σ = 5, n = 15 to calculate the following confidence intervals for μ assuming th

bija089 [108]

Answer & Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

σ= standard deviation. In this case 5

mean= 37

n= number of observations. In this case, 15

(a)

Z(alpha/2)= is the critical value of the standardized normal distribution. The critical valu for z(5%) is 1.645

Then, the confidence interval (90%):

I 90%(μ)= 37+- [1.645*(5/sqrt(15))]

I 90%(μ)= 37+- [2.1236]

I 90%(μ)= [37-2.1236;37+2.1236]

I 90%(μ)= [34.8764;39.1236]

(b)

Z(alpha/2)= Z(2.5%)= 1.96

Then, the confidence interval (90%):

I 95%(μ)= 37+- [1.96*(5/sqrt(15)) ]

I 95%(μ)= 37+- [2.5303]

I 95%(μ)= [37-2.5303;37+2.5303]

I 95%(μ)= [34.4697;39.5203]

(c)

Z(alpha/2)= Z(0.5%)= 2.5758

Then, the confidence interval (90%):

I 99%(μ)= 37+- [2.5758*(5/sqrt(15))

I 99%(μ)= 37+- [3.3253]

I 99%(μ)= [37-3.3253;37+3.3253]

I 99%(μ)= [33.6747;39.3253]

(d)

C. The interval gets wider as the confidence level increases.

8 0

3 years ago

Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980

Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed) 40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:

speed plane (y) in direction A to B plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360 (1)

The return fly took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440 (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation (1) y + (-x) = 360 y - x = 360 y = 360 + x (1)

In the second equation

y + x = 440 then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x 360 + 2x = 440 or 2x = 440 – 360

x (440 - 360)/2

x = 40 miles/hr

X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1) y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0

3 years ago

Nora is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pa

vaieri [72.5K]

9514 1404 393

Answer:

c = 150p + 1000

Step-by-step explanation:

We know the variable cost is 150 per phone, so the total cost will be ...

c = 150p +b . . . . for some value b

We also know the value of c for 8 phones, so we can find b:

2200 = 150(8) + b

2200 -1200 = b = 1000

Then the desired equation is ...

c = 150p + 1000

5 0

2 years ago

Brenda observes the the keyboard and the screen of an open laptop lie on two different places in how many lines do the planes co

Margarita [4]

The keyboard and screen intersect in just one line.

The intersection of 2 different planes is always a straight line. Imagine where the screen and the keyboard meet. It is a horizontal line from left to right as you are looking at the middle of your laptop.

5 0

3 years ago