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Brums [2.3K]
4 years ago
5

A deposit $400 into an account that pays simple interest ta a rate of 3% per year how much interest will be paid in the first 5

years.
Mathematics
1 answer:
ValentinkaMS [17]4 years ago
6 0

Answer:

$60

Step-by-step explanation:

This is because 400 times 0.03 is 12 and 12 times 5 is 60

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
rusak2 [61]

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = <u><em>thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.</em></u>

So, X ~ Normal(\mu=5.0,\sigma^{2} =1.7^{2})

The z-score probability distribution for the normal distribution is given by;

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

where, \mu = population mean thickness = 5.0 mm

           \sigma = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{3.0-5.0}{1.7} ) = P(Z < -1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( \frac{X-\mu}{\sigma} > \frac{7.0-5.0}{1.7} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X \leq 3.0 mm)

    P(X < 7.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{7.0-5.0}{1.7} ) = P(Z < 1.18) = 0.881

    P(X \leq 3.0 mm) = P( \frac{X-\mu}{\sigma} \leq \frac{3.0-5.0}{1.7} ) = P(Z \leq -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

4 0
3 years ago
It says write the following using am or pm
777dan777 [17]
The answer would be am because it says 1/4 to midday and midday is 12 and 12 is when pm starts so it would be am. 

Hope this helps! :)
6 0
3 years ago
The length of an edge of a cube is 2 inches. How many cubic inches are there in the volume of the cube ?
gizmo_the_mogwai [7]
A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3
4 0
3 years ago
For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t
Alinara [238K]
B.
<span>$5852.86

Working;
</span><span>A = P(1 + r)^t
A=5000(1+</span>\frac{3.2}{100})^5
A=<span>5852.86</span>
5 0
3 years ago
Look at the diagram, how do you know that y is not directly proportional to x.
lesya [120]

Step-by-step explanation:

If y was directly proportional to x, the graph of y against x would pass through the origin (O).

Since the graph above does not show this, y is not directly proportional to x.

7 0
3 years ago
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