Complete the sentence: Squares, rectangles, and rhombi are all types of _____________

Find the height of the cylinder if the radius is 3 and the volume is 340

mr Goodwill [35]

Answer:

12.025

Step-by-step explanation:

h=v/(π*r square)

divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)

340÷(π×3square)

giving you 12.025

(original in calculator=12.02504014)

but it is 12.025

4 0

2 years ago

The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.

katen-ka-za [31]

$L=w+11 \\\\P=86in \\P=2L+2w \\\\ 2(w+11)+2w=86 \\\\ 2w+22+2w=86 \\\\ 4w=86-22 \\\\ 4w=64 \\\\ \boxed{w=\frac{64}{4}=16in} \\\\L=16+11 \\\\ \boxed{L=27in}$

6 0

4 years ago

The value of the pronumeral

Sergio039 [100]

Answer: stop pay attention in class

Step-by-step explanation:

7 0

4 years ago

Andre rode his bicycle to a park located 5 1/2 miles from his house. He returned along the same route. After riding 7 1/2 miles

SSSSS [86.1K]

He needs to travel 3 1/2 more miles

7 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are

raketka [301]

Answer:

(a) 0.59049 (b) 0.32805 (c) 0.40951

Step-by-step explanation:

Let's define

$A_{i}$ : the lab specimen number i contains high levels of contamination for i = 1, 2, 3, 4, 5, so,

$P(A_{i})=0.1$ for i = 1, 2, 3, 4, 5

The complement for $A_{i}$ is given by

$A_{i}^{$c$}$ : the lab specimen number i does not contains high levels of contamination for i = 1, 2, 3, 4, 5, so

P( $A_{i}^{$c$}$ )=0.9 for i = 1, 2, 3, 4, 5

(a) The probability that none contain high levels of contamination is given by

P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )= $(0.9)^{5}$ =0.59049 because we have independent events.

(b) The probability that exactly one contains high levels of contamination is given by

P( $A_{1}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}$ )=5×(0.1)× $(0.9)^{4}$ =0.32805

because we have independent events.

(c) The probability that at least one contains high levels of contamination is

P( $A_{1}$ ∪ $A_{2}$ ∪ $A_{3}$ ∪ $A_{4}$ ∪ $A_{5}$ )=1-P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )=1-0.59049=0.40951

6 0

3 years ago

Complete the sentence: Squares, rectangles, and rhombi are all types of ______________.