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3 years ago

Find the exact interest for $600 at 8% for 45 days. (Round to the nearest cent.)

1 answer:

5 0

Interest is found as the principal times the percentage rate / 100, divided by the proportion of the days. This is, if r is the percentage rate for 1 year, n is the number of days, and p is the amount invested you can calculate the interests as p* (r%/100) * n/365 = $600 * (8/100) * 45/365 = $5.92. So<span> the answer is the option D. 5.92. </span>

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A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

2 years ago

Can y’all help me on this this Is geometry

kogti [31]

Answer:

1. x=8

2.x=7

3.x=5

4.x=9

5.x=11

6.x=6

7.x=-5

8.x=10

9.x=-3

10.x=-7

11.x=4

12.x=-10

Please mark brainliest!

Step-by-step explanation:

6 0

2 years ago

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

KATRIN_1 [288]

By definition, the equation of a circle, centered at point (a, b) is

$(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2$

Where r is the radius of the circumference, and is calculated as the distance from the center to any point belonging to the circumference.

We have the center (5, -4) and the point through which the circumference passes (-3, 2), then:

$a = 5\\b = -4\\r = \sqrt {(- 3-5) ^ 2 + (2 + 4) ^ 2}\\r = 10$

Finally, the equation of the circumference is:

$(x-5) ^ 2 + (y + 4) ^ 2 = 10 ^ 2$

5 0

3 years ago

Read 2 more answers

This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, wa

Otrada [13]

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The vertex is given by:

$(x_v, y_v)$

In which:

$x_v = -\frac{b}{2a}$

$y_v = -\frac{b^2 - 4ac}{4a}$

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.

If a > 0, the vertex is a minimum point.

In this problem, the precipitation each month x in Phoenix is given by:

$y = -0.04088x^2 + 0.4485x + 1.862$

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

$x_v = -\frac{0.4485}{2(-0.04088)} = 5.48$

Hence during the month of May.

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

4 0

2 years ago

The weight of 72 marbles is 183.6 g what is the weight of each marble

Musya8 [376]

They each weigh 2.55g hope it helps

5 0

3 years ago

Read 2 more answers