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? 67.75% 54.71% 38.14% 23.22%

Answer:h=11.2

Step-by-step explanation:

From the figure, we can write

[tex]\Rightarrow \sin x=\dfrac{8}{10}=\dfrac{4}{5}\\\\\Rightarrow x=53.13^{\circ}[/tex]

Also, [tex]\sin x[/tex] can be written as

[tex]\Rightarrow \sin x=\dfrac{h}{14}\\\\\Rightarrow \dfrac{4}{5}=\dfrac{h}{14}\\\\\Rightarrow h=11.2\ \text{units}[/tex]

Answer: h = 11.2

explain: I can't do this much but hope this helps.

Answer:

solve the inequality in the form of w

Answer:

Thus, 11/30 is the simplified fraction for 55/150 by using the GCD or HCF method.

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer:

[tex](17a-1)(x+1)[/tex]

Step-by-step explanation:

Given: Expression is [tex]17ax+17a-x-1[/tex]

To factor: the given expression

Solution:

Take [tex]17a[/tex] common from the first two terms and [tex]-1[/tex] from the last two terms.

[tex]17ax+17a=17a(x+1)[/tex]

and

[tex]-x-1=-(x+1)[/tex]

So,

[tex]17ax+17a-x-1=17a(x+1)-1(x+1)\\=(17a-1)(x+1)[/tex]

Therefore,

[tex]17ax+17a-x-1=(17a-1)(x+1)[/tex]

Answer:

Obtuse

Step-by-step explanation:

[tex]8^2+11^2=14^2\\64+121=196\\185=196[/tex]

Since the hypotenuse is bigger, the triangle is obtuse

Answer:

x=4

Step-by-step explanation:

-6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

Answer:

X=4

Step-by-step explanation:

Answer:

area = 42.41

a=2nrh×2nr²

a=2(3.14)(1.5)(3)+2×3.14×1.5²

a=42.41

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

Answer:

It would be Philadelphia

Answer:

$67.2

Step-by-step explanation:

8% of $52.50

52.5 × 8/100 = $4.2

20% of $52.50

52.5 × 20/100 = $10.5

total

$52.5 + $4.2 + $10.5 =$67.2

Answer:

C is the answer

Step-by-step explanation:

 because if you move the triangle two to the right then X=1

X=1 means the line is up and down going thought x=1

and if that line you make you reflect across it would be C

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

please give brainliest to my answer

be sure to follow me

stay safe

Answer:

71

Step-by-step explanation:

vertical sides  are congruent

x+30=101

x=71

Answer:

$4.07

Step-by-step explanation:

You divide 28.49 by 7

7 into 28= 4

7 into 4= 0

7 into 49= 7

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

Answer:

D is the answer since you added all the numbers together ten divide by five

Answer:

D

Step-by-step explanation:

We need to find the missing value to make sure it averages out to 250.

So they will be 5 rounds of different scores.

Since we dealing with averages, we need to set up a

equalivent equation to 250. We would add up all our previous scores and try to find the new x score and divide it by 5 and set it equal to 250. So our equation will look like.

Let x represent of our next game.

[tex] \frac{236 + 274 + 246 + 236 + x}{5} = 250[/tex]

Multiply by 5 both sides

[tex]236 + 274 + 246 +236 + x = 1250[/tex]

[tex]992 + x = 1250[/tex]

[tex]x = 258[/tex]

d is the answer

Answer:

Im not sure but hope you find it!!

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

douwdek0 The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank. the answer is 128 if u read all this but brainlest????

Answer:

70 - b

Step-by-step explanation:

b= 110 so d = 110 - they are opp. angles

d and e are alternate interior angles which add up to 180

d = 110

e =?

e = 180-110 =70

e and h are equal bc they are opp. angles

e=70 and therefore h=70 as well

Answer:

[tex] \huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}[/tex]

Step-by-step explanation:

[tex]\large A_{shaded}\approx 78 \: square \: units [/tex]

Answer:

What are you asking?

Step-by-step explanation:

Answer:

y=x/3-4

Step-by-step explanation:

you get this answer by combine your x with your fraction. since this equation is belonging to system of equations you must combine the variable with your systematic equation.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

The missing side length should be labeled as 2 inches.

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

We are given these possible side lengths:

Let's test out which combinations will create a triangle.

The straw lengths 2, 4, and 5 will form a triangle.

The straw lengths 2, 5, and 6 will form a triangle.

The straw lengths 2, 4, and 6 will NOT form a triangle.

The straw lengths 4, 5, and 6 will form a triangle.

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

[tex]{\sf{\bold\green{\fcolorbox{grey}{grey}{✅\:\:Verified\:\:answer}}}} [/tex]

Answer: sinO=

hypotenuse

opposite

​

=

7.3

x

​

sin

⁡

76

=

x

7.3

sin76=

7.3

x

​

7.3

sin

⁡

76

=

x

7.3sin76=x

x

=

7.0832

≈

7.1

feet

x=7.0832≈ 7.1 feet

Step-by-step explanation:

Answer:

the correct answer is 7.1

Step-by-step explanation:

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them