Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?

Answers

Answer 1

Answer: 47 = 50 - 3 or:
47 = Mean - 1 Standard deviation
For normal distribution it means that 4 bags represent 16 % of all samples.
4 bags ------ 16%
x bags ------ 100 %
---------------------------
4 * 100 = x * 16
16 x = 400
x = 400 : 16
x = 25
Answer: 25 bags were probably taken as samples.

Answer 2

Answer:

The number of bags that are probably taken as samples is = 25 bags.

What is normal distribution?

A normal distribution usually appears like a bell shape in a graph whereby the mean is centrally placed.

In the normal distribution of candies per bag;

The standard deviation =3

The mean = 50

Therefore candies per bag = 47 - 53

Using the empirical method, the percentage to the right of the line of normal distribution can be calculated as:

50 + 64/2 = 84%.

That means that 100 - 84 = 16% of the data is below 4.

If 16% = 4

100% =X

Make X the subject of formula,

X = 100× 4/16

X = 400/16

X= 25 bags.

Therefore, the number of bags that are probably taken as samples is = 25 bags.

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What is the sum of 352 and 88

Answers

440 you add the two numbers together

and and sum means add so we add 352+88 and we will get the answer. which is 440.
hoped this helped

Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

Answers

Answer: The required ratio in simplest form is 1 : 40.

Step-by-step explanation: We are given to express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

We know that

1 minute = 60 seconds.

So, 30 minutes = (30 × 60) = 1800 seconds.

Therefore, the ratio is given by

$45~\textup{seconds}:30~\textup{minutes}\n\n=\frac{45~\textup{seconds}}{30~\textup{minutes}}\n\n\n=\frac{45~\textup{seconds}}{1800~\textup{seconds}}\n\n\n=(1)/(40)\n\n=1:40.$

Thus, the required ratio in simplest form is 1 : 40.

$1min=60s\to30min=30\cdot60s=1800s\n\n45s:30min=45s:1800s=45:1800=(45)/(1800)=(45:45)/(1800:45)=(1)/(40)$

2v2 -5v +3 = 0 how did I do this?

Answers

$2v2 -5v +3 = 0 \n \n\Delta = b^(2)-4ac = (-5)^(2)-4*2*3= 25-24=1\n \nv_(1)=(-b-√(\Delta ))/(2a) =(5- √(1 ))/(2*2)=(5- 1)/(4)= (4)/(4)=1\n \nv_(2)=(-b+√(\Delta ))/(2a) =(5+ √(1 ))/(2*2)=(5+1)/(4)= (6)/(4)=(3)/(2)=1(1)/(2)$

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal. They set aside the same amount each month and after 7 months discovered they have saved $3,100. The Polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options:Option A: Save the original amount each month but put the pool in one month later than originally planned.

Option B: Increase savings each month by $100 from their original plan

Answers

Answer:

Neither option A nor option B will allow them to meet their goal.

Step-by-step explanation:

Consider the provided information.

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal.

They set aside the same amount each month and after 7 months discovered they have saved $3,100. Now he left with 5 months (∴7+5=12 months)

Let x is the amount he was saving each month. He saved x amount for 7 months and after 7 months he has $3100.

$7x=3100$

$x=442.86$

He saved approximately $442.86 each month.

Option A Save the original amount each month but put the pool in one month later than originally planned.

That means the number of month he has now 5+1=6.

Now find how much he can save in 6 months if he save $442.86 per month.

6×442.86=2657.16

Now add his all savings as:

$3100+$2657.16=$5757.16

Thus, the option A will not allow him to meet his goal.

Now consider the option B) Increase savings each month by $100 from their original plan.

Previously he was saving $442.86 each month now increase this number by $100.

$442.86+$100=$542.86

In 5 months he can save:

5×542.86=$2714.3

Now add his all savings as:

$3100+$2714.3= 5814.3

Thus, the option B will not allow him to meet his goal.

Answer:

its D

Step-by-step explanation:

if the US Senate, with 100 members, contains 20 more Democrat's than Republicans how many Democrat's does it contain?

Answers

There are 60 Democrat's does it contain.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Number of members = 100

And, It contains 20 more Democrat's than Republicans.

Now, Let number of Democrat's does it contain = x

Then, Number of Republicans does it contain = x - 20

Since, Number of members = 100

Hence, We can formulate;

⇒ x + (x - 20) = 100

⇒ 2x = 100 + 20

⇒ 2x = 120

⇒ x = 60

Thus, Number of Democrat's does it contain = 60

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100=d+(d-20)
First add 20 to both sides.
120=d+d
Now divide the sides by 2.
D=60
There are 60 democrats.
100=60+(60-20)
100=60+40

there are 60 democrats and 40 republicans

What percent of 6 is 5?

Answers

_
the answer is 83.3% because 5/6=0.83
_
and 0.83*100=83.3%

83.33% because you are dividing 5 into 6 which equals this as a percent

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