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DiKsa [7]
3 years ago
10

A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of t

he candies is approximately normally distributed with mean 720 milligrams (mg). If the manager’s belief is correct, which of the following intervals of weights will contain the largest proportion of the candies in the distribution of weights?A) 740 mg to 780 mg.B) 700 mg to 740 mg.C) 680 mg to 720 mg.D) 660 mg to 700 mg.E) 620 mg to 660 mg.
Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

B) 700 mg to 740 mg.

Step-by-step explanation:

Because the mean is the average of a data set, it means that there must be data above and below this value.

If the average is 720 mg, in the range there must be values that exceed this value and others that are below this.

We will analyze each of the options.

A) 740 mg to 780 mg.

There are values above 720, but not below 720.

B) 700 mg to 740 mg.

In this case, there are values below and above 720.

C) 680 mg to 720 mg.

There are only values below 720.

D) 660 mg to 700 mg.

There are only values below 720.

E) 620 mg to 660 mg.

There are only values below 720.

Therefore the answer is B) 700 mg to 740 mg. Since it fulfills the premise that guarantees the mean.

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Given:

The given arithmetic sequence is:

-3,-1,1,3,...

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

-3,-1,1,3,...

Here, the first term is -3. So, b(1)=-3.

The common difference is:

d=-1-(-3)

d=-1+3

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The recursive formula of an arithmetic sequence is:

b(n)=b(n-1)+d

Where, d is the common difference.

Putting d=2, we get

b(n)=b(n-1)+2

Therefore, the recursive formula of the given arithmetic sequence is b(n)=b(n-1)+2, where b(1)=-3.

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3 years ago
What is the value of x?
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Answer:

x = 24

Step-by-step explanation:

(2x - 4) + (3x + 5) + (2x + 11) = 180°

Combine like terms:

7x + 12 = 180

Subtract 12 on both sides:

7x = 168

Divide 7 on both sides:

x = 24

7 0
2 years ago
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A bread recipe calls for 1/3 cup of butter. You want to make 1/2 of a batch. How much butter do you need?
Sergio [31]
Do 1/3 x 1/2 to get 1/6, or you could think, 1/3 divided by 2, which would equal 1/3 x 1/2
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3 years ago
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The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find
inna [77]

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

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Substitute into equation model

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True!

3 0
3 years ago
Two last help with math please and thanks!
12345 [234]
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
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The answer is 20m

2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
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400+b^2=625
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Next, solve for the volume:
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The answer is the second choice or B.

5 0
3 years ago
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