Suppose the heights of the members of a population follow a normal
distribution. If the mean height of the population is 65 inches and the
standard deviation is 3 inches, 68% of the population will have a height within
which range?
A. 59 inches to 71 inches
B. 53 inches to 77 inches
C. 62 inches to 68 inches
D. 56 inches to 74 inches

Answer: The possible number of minutes is 5 minutes.

Step-by-step explanation: First, we should subtract: 46 - 16, since we already have 16 liters and need to get up to 46 liters. 46 - 16 gives us 30. 30 means that it is the liters needed to be filled.

Step-by-step explanation 2: Next, we know that 6 liters is filled every minute. So, basically just do 30 divided by 6, which gives us 5. 5 means the minutes.

Sooo, The possible number of minutes to fill the tank by 6 liters would be 5 minutes

I tried to explain it the best way I could. Hope it isn't confusing.

Step-by-step explanation:

Two angles are called suplementary when their measures add to 180 degrees.

D+F= 180

3x+5+2x= 180

5x+5=180

5x= 175

x= 35°

angle D = 3x+5= 3(35)+5= 110°

Answer:

∠6 = 125°

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW :-

When any 2 lines intersect each other at any point , the vertical angles are always equal to each other .

__________________________________________________________

According to the figure ,

∠6 is present vertically opposite to the angle whose measure is 125°.

∴ Hence ∠6 = 125°.

Answer: 75

Step-by-step explanation:

Answer:

I’m pretty sure the answer is $84

Step-by-step explanation:

Answer:

180

Have a wonderful day!

Answer:

15

Step-by-step explanation:

that's what gogle said

Answer:

15

Step-by-step explanation:

3÷1/5=3×5=15

when you want to divide by a fraction (n/d), flip the numbers and make multiply sign, but make sure always flip the second number (the number after the divide sign) and not the first and change the divide to multiply

Answer:

y=0  x=2

Step-by-step explanation:

Answer:

x=2+5y

and

x=2-y/2

Step-by-step explanation:

Answer:

1/8 of a cup of frosting on each cake

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

Answer:

The slope is 2/1 or 2, my amigo

2x2=10

Step-by-step explanation:

2x2==2+2=4

4+6=10

Answer:

A = 1863

Step-by-step explanation:

There are a few ways you could do this but I will do the one I know best.

Keep in mind the area is the L(enght x W(idth) = A(rea)

There are two long rectangles if you cut off the square in the middle so find the area of those two first.

31 x 23 = 713

713 x 2 = 1426 (Did this to get the area for both of them.

Now find the area of the square.

23 x 19 = 437

The you would add them all up together to get 1426 + 437 = 1863

Hope this helps :)

Answer:

1,863

Step-by-step explanation:

ok I will try to explain my answer as easy and under standable as posable.

ok what I did is the left and right side of the building I drew two lines down the middle to crate two huge rectangles on each side and one small rectangle in the middle ok. hope you understand! if you don't click the file down below.

ok after you see the file you will under stand a lot better.

ok

what I did is on the left and right triangle I did 31 tall and 23 wide. what you do I multiply the two numbers.

31 x 23 = 713

then the middle triangle is 23 wide and I did 31 - 12 to get the tall of the triangle since it did not give it to you so I got 19.

so I multiplied 23 by 19 and got 437.

so you adding all three triangles and I get 1,863 by

713 + 713 + 437 = 1,863

hope this helps

Answer:

Based on the sample, the probability of an elk being infected is 2/50. Multiply this by the number of elk: 2/50(6000) = 240

Step-by-step explanation:

Answer:

200 miles

Step-by-step explanation:

Given data

Rapid Rental Car

charges a $55 rental fee

$20 for gas, and

$0.65 per mile driven

let the number of miles be x, the total charges y

y=55+20+0.65x

y= 75+0.65x----------1

Capital Cars

charges $55 for rental and gas and

$0.75 per mile.

let the number of miles be x, the total charges y

y=55+0.75x

y= 55+0.75x----------2

Required

The number of miles driven before the two Rental companies charge the same amount

equate 1 and 2

75+0.65x= 55+0.75x

collect like terms

75-55= 0.75x-0.65x

20= 0.1x

x= 20/0.1

x= 200miles

Hence the distance will be 200 miles for the charges to be the same

Answer:

Step-by-step explanation:

Answer:

An Enlargement is the only transformation that changes the size of a shape. Two items of information are required to enlarge a shape: the Centre of Enlargement and the Scale Factor. ... If a shape is being enlarged by a scale factor of 2, the distance from the centre of enlargement to each vertex will be twice the size.

Step-by-step explanation:

hope that helps :)

Answer:

b

Step-by-step explanation:

5 faces 6 vertices goodluck

Answer:

second answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The right side of the identity

[tex]cos^{2} x sec^{2} x - cos^{2} x\\= cos^{2} x (\frac{1}{cos^{2} x} ) - cos^{2} x\\= 1 - cos^{2} x\\= sin^{2} x[/tex]

which is the same as the left side of the identity

Answer: 130 ft

Step-by-step explanation:

a^2 + b^2 = c^2

Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)

50^2 + 120^2 = c ^2

2,500 + 14,400 = c^2

16,900 = c^2

Take the square root of 16,900 to get c.

C = 130

Hypotenuse length is 130

Answer:

My answer to this question would be :

6 = 34 - (12+25) + X

6 = -3 + X

9 = X

The probability would be : 9/34 = 0.26

I am not really sure i will check it later and tell you .

I would be happy if you let me know it was wrong or not , too .

Answer:

B

Step-by-step explanation:

Since UV is a tangent then ∠ WUV = 90°

WZ = WU = x - 1 ( both radii of the circle ) , then

WV = x - 1 + 2 = x + 1

Using Pythagoras' identity in the right triangle

WU² + UV² = WV² , that is

(x - 1)² + (2x - 4)² = (x + 1)² ← expand factors using FOIL

x² - 2x + 1 + 4x² - 16x + 16 = x² + 2x + 1

5x² - 18x + 17 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

4x² - 20x + 16 = 0 ← divide through by 4

x² - 5x + 4 = 0

(x - 1)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

But x ≠ 1 as radius x - 1 = 0

Thus x = 4 → B

Answer:

Step-by-step explanation:

(5/10)(4/9)=20/90=2/9

Two-ninths

Answer:

2/9

Step-by-step explanation:

I just answered it on edg.

Answer:

3 ft

Step-by-step explanation:

Because 6 divided by 2 equals 3. And two 1s equal 2.

Answer:3ft

Step-by-step explanation:6/2

Answer:

Im not a hundred percent sure if this is the right answer but im pretty sure it is 3.33333 repeated so the rate of change is 3 inches per week.

Step-by-step explanation:

I calculated the problem by subtracting the weeks from each other subtracting the amount of length corn has grown too. I found that the corn grew 40 inches in 12 weeks. So I divided the amount of weeks and the amount it has grown and it gave me 3.333333 repeated which makes the answer 3 inches per week. correct me if im wrong...

Hope this helps:)