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vaieri [72.5K]
3 years ago
11

An automatic filling machine in a factory fills bottles of ketchup with a mean of 17.6 oz and a standard deviation of 0.05 oz wi

th a distribution that can be well modeled by a Normal model. What is the probability that a bottle of ketchup contains less than 17.5 ​oz?
Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer: 0.0228

Step-by-step explanation:

Given : \text{Mean}=\mu=17.6\ oz

\text{Standard deviation}=\sigma=0.05\ oz

Since , the distribution follows a Normal distribution .

The formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=17.5 oz

z=\dfrac{17.5-17.6}{0.05}=-2

The p-value = P(z

Hence, the required probability : 0.0228

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If g(x) = 3/2x + 3, and g(a) = 0, what is a ?
Lostsunrise [7]

Answer:

a = -2

Step-by-step explanation:

g(x) = 3/2x + 3

g(a) = 0

g(a) = 3/2a +3 =0

Subtract 3 from each side

3/2a +3-3=0-3

3/2a = -3

Multiply each side by 2/3

2/3 * 3/2a = -3*2/3

a = -2

4 0
4 years ago
If f(x) = -2^2 + 2x – 10, what is f(2)?
strojnjashka [21]

Answer:

f(2) = -2

Step-by-step explanation:

To solve this, you have to plug in 2 for x

f(2) = -2^2 + 2(2) - 10

= 4 + 4 - 10

= 8 - 10

= -2

4 0
3 years ago
Which of the following properties would NOT be used to justify any of the steps in solving the equation below?
kykrilka [37]

Given:

The equation is

\dfrac{7}{2}n=3n+4

To find:

The properties which is not used from the given options.

Solution:

We have,

\dfrac{7}{2}n=3n+4

Using Multiplication Property of Equality, multiply both sides by 2.

2(\dfrac{7}{2}n)=2(3n+4)

7n=6n+8                    (Distributive Property)

Using Subtraction Property of Equality, subtract 6n from both sides.

7n-6n=6n+8-6n

n=8

From the given options only one property is not used, i.e., Zero Product Property.

Therefore, the correct option is D.

6 0
3 years ago
A bag contains
nordsb [41]

if you add up all the marbles and then put it as the denominator then put 2 on top. divide. then do the same except this time take 1 minus the amount of total marbles . put it as the denominator and then 2 on top. divide. next take both numbers and make them a fraction. turn to simplest form. ithink

8 0
3 years ago
After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.
ehidna [41]

1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking

Mean=The average of all his throws

It's asking us to calculate his total score  

2. Find Clues to help you solve word problems

Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier

5 throws and Mean Score is 32 are the clues

3. Guess and check

The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.

Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5

Let's try bigger numbers

20+25+20+20

If you like this method, you may try it another method is called work Backwards

5x32=160

Then divide 160 by 5 to double check and you get 32!!

========================================

Therefore, the answer s 160 as his total score

hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept

Hope this helped (:

5 0
3 years ago
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