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lawyer [7]
3 years ago
7

The volume of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

ces and a standard deviation of 0.20 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than the advertised 12 ounces. What percentage of the soda cans contain more than the advertised 12 ounces of soda
Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

The correct answer is "0.9332".

Step-by-step explanation:

Given that:

\mu=12.30

\sigma=0.20

So,

= P(X>12)

= 1-P(X

= 1-P(\frac{X-\mu}{\sigma} < \frac{12-12.30}{0.20} )

= 1-P(Z

= 1-P(Z

= 1-0.0668

= 0.9332

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Please help! Question above (+10 points)
cricket20 [7]

There are three answers and they are: choice 2, choice 3, choice 5

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

Further Explanation:

Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.

----

Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)

----

Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.

----

Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)

----

Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.

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edit update: I changed choice 3 from false to true

3 0
3 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Fleas reproduce at a rate of 29% per day. If there are 300 fleas now, how long until there are 1000?
fomenos

Answer:

11.49yrs

Step-by-step explanation:

300*29% = 87

87/ 1000 = 11.49 (symplified)

my answer may not be accurate but HEY! at least im trying.

:( but i do hope this helps really.

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3 years ago
Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the
deff fn [24]
The answer is c. 0.8

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The answer is 12ft. Because if 1in is 3ft then 4in will be 4 multiplied by 3
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