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3 years ago

How much is the final cost of my $29,990 car at 6.5%

1 answer:

7 0

The period required to pay for the car is not given. However let us assume this interest rate of 6.5% is per annum, on simple interest terms.

I= PRT

where I is the interest accrued, P is the principal, R is the rate and T is the time.

If the car is paid for in one year then the final cost will be:

I = 29990 × 6.5% × 1

6.5% must be expressed as a decimal fraction so we divide by 100 to get 0.065

I= 29990 × 0.065 × 1

I = 1,949.35

29990 + 1949.35 = 31939.35 dollars.

If the car is paid for in five years on simple interest terms then the final cost will be :

I = 29990 × 0.065 ×5 = 9,746.75

29990 + 9.746.75 = 39,736.75 dollars

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Answer:

C. 7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

distance = speed × time

300t = 350(t -1)

300t = 350t -350 . . . . eliminate parentheses

350 = 50t . . . . . . . . . . add 350-300t

7 = t . . . . . . divide by 50

The trip out took 7 hours.

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3 years ago

Suppose his airplane flies in still air at a speed of 420 km/h. One day the wind is blowing strongly at 110 km/h towards the nor

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The answer will be 46,200 Hopes this helps. :)

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3 years ago

Which histogram represents the data set with the smallest standard deviation? A histogram titled Squad 1 has x-ring hits on the

Delicious77 [7]

The histogram which represents the data set with the smallest standard deviation is: C. Squad 3.

<h3>What is a histogram?</h3>

A histogram can be defined as a type of chart that's used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.

Basically, standard deviation is a statistical tool which can be used to determine the measure of spread for the data represented in a histogram, especially based on the frequency of the specified ranges.

In this scenario, the histogram which represents the data set with the smallest standard deviation is Squad 3 because it has the least frequency on the y-axis.

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1 year ago

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Answer:

Step-by-step explanation:

40÷[20-4*(7-4)]

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40÷[20-4*(3)]

Then the brackets, multiply first

40÷[20-12]

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3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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