4,12,36,108,324 identify the pattern

Round to nearest thousandth!! (3 decimal places) photo attached

aliina [53]

Answer:

Probability point lies on shaded region: ( About ) 0.294

Step-by-step explanation:

~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region ) are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by: ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294

8 0

3 years ago

Please help with this question

ioda

Answer:

$25$

Step-by-step explanation:

$\frac{5^8 \times 5^{-2}}{5^4}$

$\frac{5^{8+-2}}{5^4}$

$\frac{5^{6}}{5^4}$

$5^{6-4}$

$5^2$

$=25$

3 0

3 years ago

What is the difference of the rational expressions below?

Rom4ik [11]

Answer:

** +2x

Step-by-step explanation:

All the other ones can be it any thing will have difference but how can you do it?

* -sign mutipulcation

2x+* can be different.

O c, OA is N X+2 and more is not a equation. * - can be times really any number.

3 0

3 years ago

Open-Ended Write an equation for the line in slope intercept form.

s344n2d4d5 [400]

Answer:

y = -2x+2

Writing the slope was the more difficult part. Writing the y-intercept was the easiest because I had to select to points on the line and solve to get the slope. The y-intercept was already explicitly shown on the line.

Step-by-step explanation:

y = mx+b

y = -2x + 2

5 0

3 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Nataliya [291]

Answer:

C. 34.15 oz

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu= 33, \sigma = 0.7$