Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage?​

Answer:

9.2 is the right answeer

Step-by-step explanation:

Answer:

p = 3.6

Step-by-step explanation:

Our goal is to isolate P.

Let's start by adding 4 to each side:

8p = 28.8

Next, we will divide each side by 8:

p = 3.6

Hope this helped! :)

Answer:

Step-by-step explanation:

Assume that B is directly above A.

x = horizontal distance between Charlie and balloons

 = 1400/tan(60°)

altitude of B = x·tan(82°) ≅ 5751 ft

distance between A and B = 5751-1400 = 4351 ft, which doesn't fit any of the choices. So my initial assumption was incorrect.

Is there any other information? A picture?

The distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle

In right angle triangle ACD,

tanx = AC/CD

tan60 = 1400/CD

CD = 808.3

In triangle BDE,

tany = BE/DE

tan82 = 1400/DE

DE = 196.8

The distance between balloon A and balloon B:

= CD + DE

= 808.3 + 196.8

=   1005 Feet

Thus, the distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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Answer:

B

Step-by-step explanation:

the slope is negative and the y intercept is -1

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Answer:

$660

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

its the answer trust me

Answer:

22 and 29

Step-by-step explanation:

22 is less than 30 but greater then 15

29 is less than 30 but greater than 15

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer: I ate my dogs bone

Step-by-step explanation:

Answer:

x= - 9

Step-by-step explanation:

x = 27 / - 3

x = -9

Hope this helps

Answer:

x=9

Step-by-step explanation:

-3x=27

or, x=27/-3

or, x= -9

Answer: 5m,37,53

When you use the pythagorean theorem u find 5m

Answer:

a9

Step-by-step explanation:

5+4= 9 and its the same variable.

Answer:

C

Step-by-step explanation:

The key here is she wants to make "at least", implying that you have an inequality.  If she cecks the house 4 times plus the 2 overnight stays then she will have exactly 150, so that is the least needed to reach her goal.  So at least automatically turns it into an inequality.

Answer:

A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units

Step-by-step explanation:

1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.

A = πr²

A = (3.14)(3)²

A = (3.14)(9)

A = 28.26 cm², like in your work.

2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.

P = 2l + 2w

P = 2(12) + 2(7)

P = 24 + 14

P = 38 units

3) The formula for a triangle's area is A = [tex]\frac{1}{2}[/tex]bh, so we substitute for b = 10 and h = 4.

A =  [tex]\frac{1}{2}[/tex] bh

A =  [tex]\frac{1}{2}[/tex] (10)(4)

A =  [tex]\frac{1}{2}[/tex] (40)

A = 20 units²

4) Circumference is 2πr, and we substitute for r = 7.

C = 2πr

C = 2(3.14)(7)

C = (3.14)(14)

C = 43.96 units

Step-by-step explanation:

diagonals of the rhombus bisect each other at right angles .

5a = 90

a = 90/5 = 18

in ∆ OCD:

5a + 2a + b = 180

7a+ b = 180

b = 180 - 7 ( 18)

b = 180 - 126

b = 54 °

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.☺️

Answer:

a = 18°

[tex] b= 108\degree [/tex]

Step-by-step explanation:

ABCD is a rhombus.

AC and BD are its diagonals

Diagonals of a rhombus bisects at right angles.

Therefore,

5a = 90°

a = 90°/5

a = 18°

2a = 2*18° = 36°

Diagonals of a rhombus bisects the opposite angles.

Therefore,

[tex] m\angle ADC = 2(2a)[/tex]

[tex] m\angle ADC = 2\times 36\degree [/tex]

[tex] m\angle ADC = 72\degree [/tex]

[tex] m\angle ADC+m\angle DCB= 180\degree [/tex]

(Adjacent angles of a rhombus are supplementary)

[tex] 72\degree+b= 180\degree [/tex]

[tex] b= 180\degree-72\degree [/tex]

[tex] b= 108\degree [/tex]

Answer:

C. 14 feet

Step-by-step explanation:

THIS IS TO FIGURE OUT THE TRIANGLE

You have to do the Pythagorean Theorem, which is a² + b² = c²

Since h is the entire piece of wood including the additional 2 feet, I will use m as variable for triangle

Fill in for variables: 5² + m² = 13²

Simplify: 25 + m² = 169

Subtract 25 from both sides: m² = 144

Square root both sides to get m alone: m = 12

Now, you have to add the additional 2 feet above the triangle: 12 + 2 = 14

Therefore, h=14

Answer:

12

Step-by-step explanation:

The only answer that makes sense. If you use pythagorean theorem which is a^2+b^2=c^2, and c is the hypotenuse, which is the slanting side, you do this

12^2+5^2=13^2?

144+25=169

169=169

it checks!

Answer:

total area = 530 ft^2

Step-by-step explanation:

bottom = 8 x 25 = 200 ft^2

2 sides = 8 x 5 x 2 = 80 ft^2

2 other sides = 25 x 5 x 2 = 250 ft^2

200 + 80 + 250 = 530 ft ^2

Answer:

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]

Answer:

$143

Step-by-step explanation:

10% = 0.10

130 * 0.10 = $13

$130 + $13 = $143

Answer:

13=tip 143=total

Step-by-step explanation:

dived 130 by 10 also that's a lot of Money

Answer:

x × 1/2 - 3

Step-by-step explanation:

in slope intercept form an equation is written in y=mx+b where m is the slope and b is the y intercept

from the graph you can see the line goes up 1 and right 2, up 1 right 2, etc. that means the slope is positive 1/2

the line cross the y access at -3, therefore the y intercept is -3

so

[tex]y = \frac{1}{2} x - 3[/tex]

Answer:

10/2 =5

20/2=10

50/2=25

100/2=50

Answer:

Suppose that you have an initial quantity A.

If you have an increase of X%, the new quantity (NQ) is written as:

NQ = A + A*(X%/100%) = A*(1 + X%/100%).

Now, if we have an increase of 2% then:

NQ = A*(1 + 2%/100%) = A*(1 + 0.02)

And no we have another increase of 1%, then:

NQ = (A*(1 + 0.02))*(1 + 1%/100%) = A*(1 + 0.02)*(1 + 0.01) = A*1.0302

The single decimal multiplier that you can use to increase by 2% followed by a 1% increase is 1.0302

Answer:

1,200 area of rectangle

20 x 40 divided by 2 = 400

both added will be: 1,600

Answer:

x=2/3+1/3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−4x−2=0

For this equation: a=3, b=-4, c=-2

3x2+−4x+−2=0

Step 1: Use quadratic formula with a=3, b=-4, c=-2.

Answer:

The first deal is better, unit rate is 30

Step-by-step explanation:

90/3 is 30, 222/6 is 37. 90 is the better deal

Answer:

Area of the sector = 78.54 square meters

Step-by-step explanation:

Radius of the given circle = 10 meters

Sector bounded by the arc having measure = 90°

Angle subtended by the arc at the center = 90°

Area of the sector = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]

Here angle θ is the angle at the center subtended by the arc.

If angle θ = 90°

Therefore, area of the sector = [tex]\frac{90}{360}(\pi)(10)^{2}[/tex]

                                                = 25π

                                                = 78.54 square meters

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y, z) = (124, 112, 42)

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  y° = 180° -68° = 112°

The angle marked 71° subtends an arc twice that measure, so ...

  2(71°) = 100° +z°

  z° = 142° -100° = 42°

The angle marked y° subtends an arc twice that measure, so ...

  2y° = 100° +x°

  x° = 2(112°) -100° = 124°

Answer:

99 is 9 times 11 144 divide by 9 is 16

Answer:

y= 4 , x= -1

Step-by-step explanation:

3x-9y= -39

-3x-7y= -25

-16y= -64

y= -64/-16

y= 4

substitute y into any equation

3x -9(4) = -39

3x-36= -39

3x= -39+36

3x= -3

x= -3/3

x= -1