MATHEMATICS HIGH SCHOOL

If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere

Answers

Answer 1

Answer:

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is $(4)/(3) *$ π*r³

Putting in the radius, we get:

$(4)/(3)$ *π*14³=

$(4)/(3)$ *π*2744=

$(10976)/(3)$ *π=

3658.66*π≈11494.04

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Round 0.414 to the nearest hundredth.

Simplify.
3
(-4a64)
Write your answer without parentheses.

Answers

Answer:

64w2.

Step-by-step explanation:

Lm how many times does 177 go into 4

Answers

177 goes into 4 zero times because 177 is a larger number than 4, therefore it is impossible to fit 177 into 4.

A circle cuts the x-axis at (4,0) and (14,0), and cuts the y-axis at (0,6) and (0,8). Find it's equation

Answers

It is not a circle but you can find the equation of the ellipse.
To do this we need to work out the major and minor radii and the centre
The centre is at (9, 7)
The major (y) radius is 1 and the minor (x) radius is 5
Therefore the equation is (x-9)/5 + (y-7)/1 = 1

Solve the equation for y (Y-3)^2=4y-12

Answers

If you would like to solve the equation for y, you can do this using the following steps:

(y - 3)^2 = 4y - 12
y^2 - 6y + 9 - 4y + 12 = 0
y^2 - 10y + 21 = 0
(y - 7) * (y - 3) = 0
1. y = 7
2. y = 3

The correct result would be y = 7 or y = 3.

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following:A. One out of the next four cars needs oil.B. Two out of the next eight cars needs oil.C. 5 out of the next 20 cars needs oil.

Answers

This question is about the concept of binomial probability distribution.

A) P(1) = 0.2916

B) P(2) = 0.1488

C) P(5) = 0.03192

Formula for binomial probability distribution is;

P(x) = nCx • p^(x) • q^(n - x)

Where; q = 1 - p

From the question, we are told that the claim is that 1 out of 10 cars need to have their oil checked.

Thus; p = 1/10 = 0.1

q = 1 - 0.1

q = 0.9

A) P(one out of the next four cars need oil) is;

P(1) = 4C1 × 0.1^(1) × 0.9^(4 - 1)

P(1) = 4 × 0.1 × 0.9³

P(1) = 0.2916

B) P(2 out of the next 8 cars needs oil) is;

P(2) = 8C2 × 0.1² × 0.9^(8 - 2)

P(2) = 28 × 0.01 × 0.531441

P(2) = 0.1488

C) P(five out of the next twenty cars needs oil) ;

P(5) = 20C5 × 0.1^(5) × 0.9^(20 - 5)

P(5) = 15504 × 0.00001 × 0.20589113209

P(5) = 0.03192

Read more at; brainly.com/question/24239758

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

$P(X=1) = 4C1(0.1)(0.9)^3 \n= 0.2916$