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timofeeve [1]
3 years ago
8

Kari thinks, "x is the difference between 87 and 34.25 is this true or not?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0
This is true because it is an unknown number so it is replaced by a variable.
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If you have the option of choosing a loan that will accumulate 4%/ a interest compounded semi-annually compared to a loan that w
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Answer:

4%/ a interest compounded semi-annually

Step-by-step explanation:

The option that gives the lower interest rate payment would be more appropriate. to determine this calculate the effective interest rate

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.04/2)^2 - 1 = 4.04%

(1 + 0.04/12)^12 - 1 = 4.07%

the choice should be 4%/ a interest compounded semi-annually

6 0
3 years ago
According to records, the amount of precipitation in a certain city on a November day has a mean of inches, with a standard devi
Mekhanik [1.2K]

Answer:

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Mean \mu, standard deviation \sigma

n days:

This means that s = \frac{\sigma}{\sqrt{n}}

Applying the Central Limit Theorem to the z-score formula.

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

What is the probability that the mean daily precipitation will be of X inches or less for a random sample of November days?

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

5 0
3 years ago
1.6y + y - 4/15 y + 1 1/6y = 2 1/3 Please help!
Yuri [45]

Answer:

y = 2/7 or y = 14/25

Step by Step explanation:

sorry about the last answer

simplify both sides of the equation, then isolate the variable

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Which role would result in a translation of two units left and three units up
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The rule (x, y) ⇒ (x-2, y+3) will translate the way you want.

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