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aniked [119]
3 years ago
15

If Greg makes only the minimum monthly payment in May, June, and July, what will his total balance be after he makes the monthly

payment for July? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.)
Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0
For this question I would need the money amount what minimum might possibly be? please and thank you
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A popular soft drink is sold in 2-liter (2000 milliliter) bottles. Because of variation in the filling process, bottles have a m
andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 2000, \sigma = 18

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So n = 100, s = \frac{18}{\sqrt{100}} = 1.8

This probability is the pvalue of Z when X = 1995. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1995 - 2000}{1.8}

Z = -2.78

Z = -2.78 has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when Z = 1.28

Z = \frac{X - \mu}{s}

1.28 = \frac{X - 2000}{1.8}

X - 2000 = 1.8*1.28

X = 2002.3

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0
3 years ago
Explain whether the following statement is true or false.
levacccp [35]

Answer:

This statement is false. The side of a triangle that is opposite an angle greater than or equal to 90° is always the largest side of the triangle.

3 0
2 years ago
I’m stuck, please help ASAP. Will give brainliest!
ss7ja [257]

Answer:

C) 35 Degrees

Step-by-step explanation:

To find the degree of an exterior angle, subtract the larger arc, DE, degree by the smaller arc, BC, and then divide by 2! Which is 35. 118-48/ 2 = 35.

7 0
3 years ago
The degree of a polynomial is
scoundrel [369]
The degree of a polynomial is<span> the highest </span>degree<span> of its terms when the </span>polynomial is<span> expressed in its canonical form consisting of a linear combination of monomials.</span>The degree<span> of a term is the sum of the exponents of the variables that appear in it.</span>
5 0
3 years ago
Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki
astra-53 [7]

Answer:

Step-by-step explanation:

Equation : 165 = 102 + 1.4K

Define: K is # of kilometers

Solve: 63 = 1.4k, so k = 45

Final answer: 45 kilometers

7 0
3 years ago
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