1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harlamova29_29 [7]
3 years ago
15

A town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96. (a)

What is the probability that neither is available when needed? (b) What is the probability that a fire engine is available when needed?
Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

Answer is

a. P (both pumps not available) = 0.016

b. P (both pumps available) = 0.984

Step-by-step explanation:

a. Probability of neither pump is available.

We know that P1 + P2 = 1

P1 = Probability of one pump is available = 0.96

P2 = Probability of a pump not available = 1-0.96 = 0.04

Now the probability of both pump not available will be = P2 x P2

=0.04 x 0.04 = 0.016

b. Probability of both pumps available will be.

Using the equation of probability

P (both pumps available) + P (both pumps unavailable) = 1

P (both pumps available) = (1- P (both pumps unavailable))

P (both pumps available) = 1-0.016

P (both pumps available) = 0.984

You might be interested in
Find the polynomial of minimum degree, with real coefficients, zeros at
drek231 [11]

Answer:

\huge\boxed{p(x)=4x^3-20x^2+4x+300}

Step-by-step explanation:

\text{If}\ x=4\pm3i\ \text{and}\ x=-3\ \text{are the zeros of a polynomial, then it has  a form:}\\\\p(x)=\bigg(x-(4-3i)\bigg)\bigg(x-(4+3i)\bigg)\bigg(x-(-3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x-4+3i)(x-4-3i)(x+3)\bigg(r(x)\bigg)\\\\p(x)=\underbrace{\bigg((x-4)+3i\bigg)\bigg((x-4)-3i\bigg)}_{\text{use}\ (a+b)(a-b)=a^2-b^2}(x+3)\bigg(r(x)\bigg)\\\\p(x)=\bigg((x-4)^2-(3i)^2\bigg)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2

p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)

\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300

7 0
3 years ago
HELP PLS WUICK! GIVING OUT BRAINLIST
kolbaska11 [484]
You multiply the area of the triangle by 2
4 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!!!!
statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

<u>Shape A: Cross</u>

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

<u>Shape B: Star</u>

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

<u>Shape C: Composite figure</u>

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

<u>Shape D: Circle</u>

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

Read more about rotational symmetry at:

brainly.com/question/12214455

8 0
2 years ago
A young boy is growing at a rate of 3.5 cm per month. He is currently 90 cm tall. At that rate, in how many months will the boy
Olenka [21]
It will take months for the boy to grow to a height of 132cm. 132-90= 42 cm left to grow. 42÷3.5= 12months, or a year.
7 0
3 years ago
Find the factors of 4x2-16x-9.
zzz [600]

Answer:

Step-by-step explanation:

4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)

I Hope It Helps :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Your aunt just got a new car. The car gets about 40 miles per gallon. If there are 12 gallons of gas in the tank, about how many
    6·2 answers
  • An industrial expert claims that the average useful lifetime of a typical car transimssion which comes with ten years warranty i
    7·1 answer
  • What is the volume of this composite solid?<br> 2 m<br> 8 m<br> 3 m<br> 5 m
    14·2 answers
  • To make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space w
    10·1 answer
  • Please help me FAST <br> HELP
    13·2 answers
  • I DONT KNOW WHAT IM DOING, PLEASE HELP
    7·1 answer
  • What is the solution to -4(8 - 3x)2 6x - 8?
    5·1 answer
  • If you and answer any of these 7-9 that would really help!!<br> (pic below)
    13·2 answers
  • The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 cen
    5·1 answer
  • Given the formula for the gas law: pv = nrt. katie tried to solve for the v variable in order to solve a problem. she rearranged
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!