Assume that the weight of chocolates in boxes of 'celebrations' chocolates in the UK are approximately normally distributed with N(μ=5.8,σ=1.3). Also assume that only those chocolates that weigh between 5 grams and 7 grams can be included for sale in the boxes. State the probability that a randomly chosen chocolate can be included for sale in the celebrations boxes.

Answers

Answer 1

Using the normal distribution principle ; the probability that a randomly chosen chocolate is in the celebration box is 0.553

μ=5.8 ; σ=1.3

Zscore = (X - μ) ÷ σ

For X = 5 :

Zscore = (5 - 5.8) ÷ 1.3 = - 0.615

For X = 7 :

Zscore = (7 - 5.8) ÷ 1.3 = 0.923

Using a normal distribution table :

P(Z < 0.923) = 0.822

P(Z < - 0.615) = 0.269

P(Z < 0.923) - P(Z < - 0.615) = 0.822 - 0.269 = 0.553

Therefore, the probability of inclusion is 0.553.

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f(x)=2x-1 and g(x)=6x-2. Write a formula for (fg)(x)

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Answer:
2(6x-2)-1

Explanation:
Plug in g(x) for x

You ride your bike 1 3/10 mi to school. At the end of the day, you stop at a park on the way home. The park is 25 mi from school. Question : how far is the park from your house

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Step-by-step explanation:

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9514 1404 393

Answer:

(d) 9

Step-by-step explanation:

The relation you're supposed to apply here is ...

an exterior angle of a triangle is equal to the sum of the remote interior angles.

The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.

17x +7 = 13x +3 +40

4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides

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Cait can bike 32 miles in the same amount of time that Carl can bike 24 miles. If Cait bikes 2 mph faster than Carl, how fast does Cait bike?

Answers

Let t = time in hrs for both to go 32 mi

Let s = Carl's speed in mi/hr

s + 2 = Caits speed in mi/hr

------------------------------------------------------------

Carl's equation:

(1) 24 = s · t

Cait's equation:

(2) 32 = (s+2) · t

-----------------------------------

(2) 32 = s · t + 2t

and

(1) s = 24/t

Plug (1) into (2)

(2) 32 = (24/t) · t + 2t

(2) 32 = 24 + 2t

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(2) t = 4

and

(1) s = 24/4

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The speed of Cait is 8 mph

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.

Let x be the time in hours for both to go 32 miles

Let y be Carl's speed

Then Caits speed is = y+ 2

So, Carl's equation:

x y= 24

and, Cait's equation:

32 = (y+2) · x

32 = xy + 2x...............(1)

and, y = 24/x

Put the above value in equation (1)

(24/x) x + 2x = 32

2x+ 24 = 32

2x= 8

x=4

Also, y= 24/x= 24/4 = 6

Hence, speed of Cait is 8 mph

Learn more about Algebra here:

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You want to take out a $222,000 mortgage (home loan). The interest rate on the loan is 5.9%, and the loan is for 30 years. Your monthly payments are $1,316.76. How much will still be owed after making payments for 20 years? Round your answer to the nearest dollar.

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You will owe about $119,145 after making payments for 20 years.

What is the length of the red line segment on the number line?

Answers

Answer:

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Three strands of wire have a total length of
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three times the length of the shortest strand.
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wire?

Answers

Answer: 20 Meters

Step-by-step explanation:

First strand: 2x (twice the length of the shortest strand)

Second strand: 3x (three times the length of the shortest strand)

Third strand: x (the length of the shortest strand)

All the strands: 2x + 3x + x

All the strands: 6x

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(DIVIDE BOTH 6 AND 120 BY 6)

x=20

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Stoplight A changes color every 42 seconds and Stoplight B changes color every 30 seconds. Both stoplights changed color 10 seconds ago. After how many seconds will the stoplights change color at the same time again

Answers

42-30= 12, 12x42=504s until they change at the same time. 504-10= 494s from 10s ago

How do I do 1 and 2

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Hey y’all u need to do is look up a factor tree and do it with those numbers then in the factor tree put a box around the composite numbers and a circle around the prime numbers in the tree and right the prime factorization at the bottom

solve 124.01 plus 12.001

Answers

Answer:

136.011

Step-by-step explanation:

124.01 + 12.001= 136.011

Hope this helps!

Answer:

136,011

Step-by-step explanation:

124,01 + 12,001

= 136,011

help maybe..? Please

Answers

Answer:

15.8

Step-by-step explanation:

First we need to round to the nearest tenth.

18.134 rounds to 18.1 (since it's closer to 18.1 than 18.2)

2.28 rounds to 2.3 (since it's closer to 2.3 than 2.2)

Then we subtract

18.1-2.3=15.8

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The numbers after rounding off to 10th place is :

[tex]18.134\rightarrow18.1[/tex][tex]2.28 \rightarrow2.3[/tex]

now, their difference will be :

[tex]18.1 - 2.3[/tex][tex]15.8[/tex]

Write the quadratic equation that has roots (-1-square root 2)/3 and (-1+square root 2)/3 if its coefficient with x^2 is equal to... 1

Answers

9514 1404 393

Answer:

x² +2/3x -1/9 = 0

Step-by-step explanation:

The quadratic with roots p and q can be written as ...

(x -p)(x -q) = 0

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let Maggie's age be x

Let Maggie's brother's age be 4x-4

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Answers

Answer:

Q 1) 7$ Q 2) 50 Q 3) 15$

Step-by-step explanation:

1) The cost of 1 claypot = $7

2) Total amount sold to yield the given profit = $1100

3) Amount to sell each pot to make the given profit = $22

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Step-by-step explanation:

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HEYY I am posting random questions so whoever answers gets brainliest and a few points since the questions aren't hard!!
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Answers

Answer:

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Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

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Step-by-step explanation:

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Answers

Answer:

$1804.81

Step-by-step explanation:

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C)
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16/20 - 15/20 = 1/20

D)
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Step-by-step explanation:

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