Y

The ratio of the Areas of the bases of these cones is 9 to 4.

Lapatulllka [165]

Answer:

Step-by-step explanation:

This is something you learn in Geometry. Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area. You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

$\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}$

The one-to-one is 3:2. To get to the volume now, cube those one-to-one values:

$\frac{3^3}{2^3}=\frac{27}{8}$

7 0

3 years ago

Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat

anzhelika [568]

Answer:

(c) Probability that a failure is due to loose keys = 0.2376

(d) Probability that a failure is due to improperly connected or poorly welded wires = 0.078

Step-by-step explanation:

The Whole probability scenario is given for Computer Keyboard failures.

(a) Let F be the event of failure due to faulty electrical connects, P(F) = 0.12

M be the event of failure due to mechanical defects, P(M) = 0.88

LK be the event of mechanical defect due to loose keys, P(LK/M) = 0.27

IA be the event of mechanical defect due to improper assembly, P(IA/M) =0.73

DW be the event of electrical connects due to defective wires,P(DW/F) = 0.35

IC be the event of electrical connects due to improper connections,

P(IC/F) = 0.13 .

PWW be the event of electrical connects due to poorly welded wires,

P(PWW/F) = 0.52

(b) Keyboard failures

Faulty electrical connects Mechanical Defects

P(F) = 0.12 P(M) = 0.88

Defective wires Improper Poorly Loose Keys Improper

P(DW/F)=0.35 Connections Welded wires P(LK/M)=0.27 Assembly

P(IC/F)=0.13 P(PWW/F)=0.52 P(IA/M)=0.73

This is the required tree diagram.

(c) Probability that a failure is due to loose keys is given by:

P(LK) =P(LK/M) * P(M) {This means mechanical failure is due to loose

keys}

P(LK) = 0.27 * 0.88 = 0.2376 .

(d) Probability that a failure is due to improperly connected or poorly welded

wires is given by P(IC $\bigcup$ PWW) ;

P(IC $\bigcup$ PWW) = P(IC) + P(PWW) - P(IC $\bigcap$ PWW) { Here P(IC $\bigcap$ PWW) = 0 }

P(IC) = P(IC/F) * P(F) = 0.13 * 0.12 = 0.0156

P(PWW) = P(PWW/F) * P(F) = 0.52 * 0.13 = 0.0676

Therefore, P(IC $\bigcup$ PWW) = 0.0156 + 0.0676 - 0 = 0.078 .

8 0

3 years ago

What is 3 - 1 x 4 pls answer need help with this I’m getting -1 and 8

MatroZZZ [7]

Answer: -1

Step-by-step explanation:

Considering order of operations, multiplication takes a higher precedent than subtraction. Therefore, you do the multiplication first.

3)

$\implies3-1\times4\\\implies3-4\\\implies\large\boxed{-1}$

7 0

1 year ago

Read 2 more answers

Write an equation that is parallel to the line 2x - 3y = 9 and passes through the point (4, -1).

insens350 [35]

Answer: $y = \frac{2x}{3} - \frac{11}{3}$

Step-by-step explanation:

Equation of the line given ;

$2x - 3y = 9$

To find the slope of the line we will make y the subject of formula , that is

$3y = 2x - 9$

$y = \frac{2x}{3}-3$

Therefore ; the slope = $\frac{2}{3}$

Two lines are said to be parallel if they have the same slope

This means that the slope of the second line = $\frac{2}{3}$

Using the formula $y-y_{1}= m ( x - x_{1} )$ to find the equation of the line , we have

$y - (-1 ) = \frac{2}{3} (x - 4 )$

$y + 1 = \frac{2x}{3} -\frac{2}{3}(4)$

$y + 1 = \frac{2x}{3} - \frac{8}{3}$

$y = \frac{2x}{3}- \frac{8}{3} - 1$

$y = \frac{2x}{3} - \frac{11}{3}$

7 0

2 years ago

If A = -3n + 2 and B = 5n - 7, what is the value of A - B, in simplest form?

bekas [8.4K]

Answer:

- 8n + 9

Step-by-step explanation:

Hi there !

A - B = ( -3n + 2 ) - (5n - 7)

= - 3n + 2 - 5n + 7

= - 8n + 9

Good luck !

6 0

3 years ago