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3 years ago

An account earns simple interest.

1 answer:

3 0

Data:
P (Principal) = $1500
I (Simple Interest) = ?
t (time) = 5 years
r (percentage rate) = 4% = 0.04

Formula:
$I = P*r*t$

Solving (1) <span>Find the interest earned.</span>
$I = P*r*t$
$I = 1500*0.04*5$
$\boxed{\boxed{I = 300}}\end{array}}\qquad\quad\checkmark$

Solution (2) <span>Find the balance of the account.
</span>The future value, (Account), of a loan is given by the equation: A = P + I
$A = P + I$
$A = 1500 + 300$
$\boxed{\boxed{A = 1800}}\end{array}}\qquad\quad\checkmark$

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Rectangular prism is 5.9 millimeters wide and 20 millimeters high. Its surface area is 733.28 square millimeters. What is the le

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Answer:

The the length of the rectangular prism is 6.64 mm

Step-by-step explanation:

knowing the surface area of the rectangular prism is the sum up of all areas of the prisma we have

(20 * 5.9)*2 + (20*X)*2 + (5.9*X)*2 = 733.28

236 + 40X + 34.81X = 733.28

X = 6.64 mm

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3 years ago

Which of the following statements are true? Select all that apply

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Answer:

<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>

Step-by-step explanation:

The choices are

1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.

2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0

3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.

4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.

The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.

Therefore, the first choice is correct.

The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].

The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".

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3 years ago

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random

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Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em> $\bar X$ <em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = $50,000

$\sigma$ = population standard deviation = $25,000

n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P( $\bar X$ > $52,000)

P( $\bar X$ > $52,000) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }$ ) = P(Z > 2.53) = 1 - P(Z $\leq$ 2.53)

= 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

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3 years ago

The lower the average monthly temperature, the higher the monthly heating bill.

sergejj [24]

The first option is correct

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Answer:

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