What is the value of X?

If 20 divided by 5 = 4 Then 20 divided by 5.5=4.?

ahrayia [7]

Answer:

no

Step-by-step explanation:

20 divided by 5.5 is a decimal 3.63

3 0

3 years ago

What is the simplified form of x+6 over x+4 + x-3 over 3

Zigmanuir [339]

1 Cancel 33
x+\frac{6}{x}+4+x-1x+x6+4+x−1
2 Collect like terms
(x+x)+\frac{6}{x}+(4-1)(x+x)+x6+(4−1)
3 Simplify
2x+\frac{6}{x}+32x+x6+3

7 0

3 years ago

4. Simplify -6(3 – 5s + 12t – 2u)

Elan Coil [88]

-18 +30s -72t +12u is the answer

8 0

2 years ago

Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an

Gelneren [198K]

Answer:

(a) P (Z < 2.36) = 0.9909 (b) P (Z > 2.36) = 0.0091

(c) P (Z < -1.22) = 0.1112 (d) P (1.13 < Z > 3.35) = 0.1288

(e) P (-0.77< Z > -0.55) = 0.0705 (f) P (Z > 3) = 0.0014

(g) P (Z > -3.28) = 0.9995 (h) P (Z < 4.98) = 0.9999.

Step-by-step explanation:

Let us consider a random variable, $X \sim N (\mu, \sigma^{2})$ , then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

In statistics, a standardized score is the number of standard deviations an observation or data point is above the mean. The z-scores are standardized scores.

The distribution of these z-scores is known as the standard normal distribution.

(a)

Compute the value of P (Z < 2.36) as follows:

P (Z < 2.36) = 0.99086

≈ 0.9909

Thus, the value of P (Z < 2.36) is 0.9909.

(b)

Compute the value of P (Z > 2.36) as follows:

P (Z > 2.36) = 1 - P (Z < 2.36)

= 1 - 0.99086

= 0.00914

≈ 0.0091

Thus, the value of P (Z > 2.36) is 0.0091.

(c)

Compute the value of P (Z < -1.22) as follows:

P (Z < -1.22) = 0.11123

≈ 0.1112

Thus, the value of P (Z < -1.22) is 0.1112.

(d)

Compute the value of P (1.13 < Z > 3.35) as follows:

P (1.13 < Z > 3.35) = P (Z < 3.35) - P (Z < 1.13)

= 0.99960 - 0.87076

= 0.12884

≈ 0.1288

Thus, the value of P (1.13 < Z > 3.35) is 0.1288.

(e)

Compute the value of P (-0.77< Z > -0.55) as follows:

P (-0.77< Z > -0.55) = P (Z < -0.55) - P (Z < -0.77)

= 0.29116 - 0.22065

= 0.07051

≈ 0.0705

Thus, the value of P (-0.77< Z > -0.55) is 0.0705.

(f)

Compute the value of P (Z > 3) as follows:

P (Z > 3) = 1 - P (Z < 3)

= 1 - 0.99865

= 0.00135

≈ 0.0014

Thus, the value of P (Z > 3) is 0.0014.

(g)

Compute the value of P (Z > -3.28) as follows:

P (Z > -3.28) = P (Z < 3.28)

= 0.99948

≈ 0.9995

Thus, the value of P (Z > -3.28) is 0.9995.

(h)

Compute the value of P (Z < 4.98) as follows:

P (Z < 4.98) = 0.99999

≈ 0.9999

Thus, the value of P (Z < 4.98) is 0.9999.

**Use the z-table for the probabilities.

3 0

2 years ago

What is the surface area of this triangular prism rounded to the nearest tenth? A) 48.6km2 B) 63.4 km2 C) 72.6 km2 D) 84.4 km2

Mekhanik [1.2K]

Correct option B) $63.4km^2$ .

Step-by-step explanation:

We have the following figure attached as shown below.

Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:

2 similar right angled surfaces

We know that area of triangle = $\frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} (3.6)(7.7)$

⇒ $area = 13.86km^{2}$

But there 2 such surfaces so , $area = 2(13.86) = 27.72km^2$

3 rectangular surfaces

Area of rectangle = $length(breadth)$

⇒ $area_1 = 3.6(1.8)$

⇒ $area_1 = 6.48km^2$

⇒ $area_2= 7.7(1.8)$

⇒ $area_2 = 13.86km^2$

⇒ $area_3 = 8.5(1.8)$

⇒ $area_2 = 15.3km^2$

Total area = $6.48 + 13.86 + 15.3 = 35.64km^2$

Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:

$Area = 27.72+35.64 = 63.36km^2$ = $63.4km^2$

Correct option B) $63.4km^2$ .

4 0

2 years ago

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