A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching candle stand. The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g. Both distributions are approximately normal.
Let T= the total weight of a randomly selected candle and a randomly selected stand, and assume that the two weights are independent.
If the total weight T of the two items is under 683g, the company gets a discount on shipping.
Find the probability that the total weight is under 683g.
You may round your answer to two decimal places.
P(T<683)≈

Answer:

820

Step-by-step explanation:

Find the number in the ten place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to

5 and round down if it is less than 5.

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

Answer:

B: The Distribution has a peak at 22 degrees celsius

Step-by-step explanation:

We are given a photo of a point plot, including with several descriptions and are asked to find which accurately describes the picture.

Let's take a look at our options,

A: The Distribution has an Outlier

This would be incorrect, an outlier is a point on any graph that doesn't really fit in well with all the other points, say there is a straight line with a bunch of dots surrounding it, then there is one dot that is far away from the rest, that is an outlier. Looking at the point plot, we see that all the dots fit in well together and no dots are really separated, therefore making this incorrect.

B: The Distribution has a peak at 22 degrees celsius

This would be correct, when referring to peak, the peak is supposed to represent the highest point or value a certain number/amount has. If we look at the point plot, we can see that there are the most dots at 22 than any other temperature. Therefore making it the peak, and making B correct.

C: None of the Above

This is obviously incorrect, B is a correct answer.

Answer:

k  = 54

Step-by-step explanation:

6 = [tex]\frac{k}{9}[/tex]

multiply both sides by 9 to isolate k

=> k  = 54

Answer:

k = 54

Step-by-step explanation:

[tex]6 = \frac{k}{9}[/tex]

Multiply both sides by 9:

9(6) = k

k = 54

Answer:

The probability that a man buys the winning ticket is 107/200

Step-by-step explanation:

78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.

The probability that a man buys the winning ticket is

number of men with tickets / number of tickets, or

107 / 200.

Answer:

1680

Step-by-step explanation:

480x3=1440

480/2=240

1440+240=1680

Answer:

1/64

Step-by-step explanation:

probability of getting one question correct is 1/4

P(3 questions correct):  1/4 · 1/4 · 1/4

Answer

1 and 0.89

Step-by-step explanation:

idrk tho

Answer:

It should be C

Step-by-step explanation:

I hope this helps!

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

Answer: 85

Step-by-step explanation:

360degree for quad

thus

95+85+95 = 275

360-275 = 85

Answer:

S=85°

Step-by-step explanation:

95+85+95= 275

(a square is equaled to 360 degrees so you do this)

360°-275°= 85°

(Take away what the shape/angle is equal to from your findings in your first step) .

Answer:

Width is 3

Step-by-step explanation:

_____________

/ / |

/ ______________/ |

2.5| | |

f | | |

e | | |

e | | |

t | | |

| | /

| | /

|______________|/ 3 feet

4 feet

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

2. 8/10 is bigger

3. 7/8 is bigger

4. 1/2 is bigger

5. 8.12 is bigger

6. 4/6 is bigger

7. 7/12 is bigger

Step-by-step explanation:

Answer:

126 [tex]m^{2}[/tex]

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

First you need to find the total amount of marbles

5+8+6+11= 30

There are 6 orange marbles

So the probability is 6/30 which reduces to 1/5

Answer:

1. (a) a+b=86

2. (c) 5.99a+9.99b≤600

Step-by-step explanation:

1.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:

a+b=86

2.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...

5.99a = total cost of 16gb memory sticks

9.99b = total cost of 32gb memory sticks

Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:

5.99a+9.99b≤600

Answer:

m∠G = 31.83°

Step-by-step explanation:

From the triangle FGH,

FH = 6 ft

FG = 11 ft

And measure of the included angle ∠F = 73°

We have to find the measure of ∠G.

By applying law of cosine in the triangle to get the measure of third side GH first,

GH² = FH² + FG² - 2(FH)(FG)cos(∠F)

GH² = 6² + 11² - 2(6)(11)cos(73°)

GH² = 36 + 121 - 38.593

GH = √118.407

GH = 10.88 ft

Now apply sine rule in the given triangle to get the measure of ∠G.

[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]

[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]

sin(G) = 0.527374

G = [tex]\text{sin}^{-1}(0.527374)[/tex]

m∠G = 31.83°

Answer:

Option A

Step-by-step explanation:

It's given that cosθ = [tex]-\frac{2\sqrt{5} }{5}[/tex]

Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]-\frac{2\sqrt{5} }{5}[/tex]

                                        = [tex]\frac{2}{\sqrt{5}}[/tex]

By applying Pythagoras theorem in the right triangle,

(Hypotenuse)² = (Opposite side)² + (Adjacent side)²

(√5)² = (Opposite side)² + (2)²

5 = (Opposite side)² + 4  

Opposite side = √(5 - 4)

                       = 1

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                  = [tex]\frac{1}{\sqrt{5}}[/tex]

Since, sine is positive in IInd quadrant,

sinθ = [tex]\frac{1}{\sqrt{5}}[/tex]

Therefore, option A will be the answer.

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is 52.

hope this helps,have a great day!!

~Pinky~

Answer:

Triangle 2

Step-by-step explanation:

5, 12, 13

Use the Pythagorean Theorem

a^2 + b^2 = c^2

a = 5

b = 12

c = 13

25 + 144 = 169

a and b are side lengths

c is the hypotenuse

The theorem states that the square of the side lengths of a right triangle added together equals the square of the hypotenuse

Answer:

B is the right triangle because the sum of the square of each of the two shortest sides will equal the square of the longest side.

Step-by-step explanation:

Pythagorean Theorem says if a triangle is a right triangle with side lengths a, b, and c, then a^2 + b^2 = c^2 where c is the length of the longest side.

So, A. 16^2= 7^2 + 12^2  256 does not = 193 NOT a right triangle

      B. 13^2= 5^2 + 12^2  169 = 169 Yes this is a right triangle

      C. 9^2= 4^2 + 5^2  81 does not = 41 NOT a right triangle

      D. 19^2= 8^2 + 15^2  361 does not = 289 NOT a right triangle

Answer:

2x^2+9x-5

Step-by-step explanation:

(X+5)(x-1/2)

x^2-1/2x+5x-5/2

x^2+9/2x-5/2

multiply through by 2

2x^2+9x-5

If there are already 3 fish in the aquarium. Then the number of fish in the aquarium should be less than 2.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. Then the inequality equation will be

Let the number of fish in the aquarium be x. Then the inequality equation will be

x < 5

But there are already 3 fish in the aquarium, then we have

x - 3 < 2

Then the number of fish in the aquarium should be less than 2.

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

d = √85

Step-by-step explanation:

Here use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]

Answer:

The answer is 11

Step-by-step explanation:

Answer:

sorry if I knew I would have told you but follow me