MATHEMATICS HIGH SCHOOL

Find the probability that a number selected at random from the numbers 1 to 25 is not a primenumber when each of the given numbers is equally likely to be selected.

#no irrelevant answer
​

Answers

Answer 1
Answer:

Given:

  • A number is selected at random from the numbers 1 to 25.
  • Each of the given numbers is equally likely to be selected.

To Find:

  • Probability that the number is not a prime number.

Solution:

Required Sample space of the following event ( Non- prime numbers between 1 to 25 )

\dashrightarrow 1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25

Number of Favourable Outcomes = 16

Total number of outcomes = 25

Now as we know

Probability of an event =

\star\;\boxed{\sf{\pink{( Favourable\; number\;of\; outcomes)/(Total\; number\;of\; outcomes)}}}

Probability = 16/25

Hence, probability that the number is not a prime number is 16/25.
Answer 2
Answer:

Answer:

Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}

Number of favourable outcomes=16

Number of total possible outcomes=25

p(not a prime) = (number of favourable outcomes) / number of total possible outcomes

=16/25

Related Questions

How do you solve -8+3x <-17x+17 for graphing?
How to work out 100 divided by 150 without a calculator?
Factor the left hand side of the equation into two or more factors 16x^4-121x^2=0 To the fourth power^4 Squared^2 Cimpletly lost help me figure this out please
If there are 40 games and the team scored 1.4 goals in their games how many goals did they score?
You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle. a. What is the measure of the other acute angle?b. What is the height of the tree?c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree?d. Can you take a clear picture of the top of the tree from where you are standing?e. How many total tiles will be needed to complete the job?

PLEASE HELP! I DONT UNDERSTAND! 98 POINTS! AND I ALREADY HAVE THE GRAPH!!! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, FL to Atlanta, GA. FedEx makes a graph to represent the miles per gallon the truck uses.What is the domain in this situation? explain you answer.

What does the origin of the graph represent in this situation? explain your answer

Answers

Answer:

See below

Step-by-step explanation:

Domain

The domain is the x value. They go alphabetically.

domain = x value

range = y value.

The domain for this situation is 0 to 90 gallons

domain: 0  ≤  x  ≤  90. The domain is between 0 and 90.

As the truck moves, each gallon of gas on the x axis moves it closer to it's destination 660 miles away  (Atlanta Ga)

The slope of the graph is the rate of gas consumption. slope = miles / gallons.

slope = 660 / 90

slope = 7.33 miles per gallon. You are not asked for this but it might help you understand what the domain represents. Every gallon used in the domain allows you to travel another 7.33 miles.

Origin

The origin is (0,0). It means that the Fedex truck has not moved at all when the trip began. It has gone 0 miles and used 0 gallons of diesel fuel.

If you divide 660 by 90, we see that the unit rate for this graph is 7.333 repeating, or 7 1/3. So it shows the unit rate.

The domain is anything that can be divided by 7 1/3.

The origin of the graph represents the coordinates for every other point on the graph.

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater

Answers

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.

17.1 is your answer

I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.
(7, −6)

Determine the value of k such that the points whose coordinates are given lie on the same line.
(k, 0), (0, −1), (10, −11)

Find the slope of the line containing the given points.
P1(5, −9), P2(1, 7)

Find the equation of the line that passes through the midpoint of the line segment between
P1(4, 1) and P2(−2, 3) and has slope of 3.
Let y be the dependent variable and let x be the independent variable.

Find the equation of the line that contains the given point and has the given slope.
P(0, 6), m = 1

Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10  7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to  vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

 m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(-11+1)/(10-0)\Rightarrow m=-1\n-11=-1*(10)+b\therefore b=-1\Rightarrow f(x)=-x-1\nf(k)=-k-1\n0=-k-1\therefore k=-1

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(7+9)/(1-5)\Rightarrow m=(16)/(4)=-4

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

Midpoint=((x_(1)+x_(2))/(2)+(y_(1)+y_(2))/(2))\n

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

m(x-x_(0))=y-y_(0)\n3(x-2)=y-2\n3x-6=y-2\Rightarrow 3x-y=6-2\Rightarrow -y=4-3x\Rightarrow y=3x-4

5) Similarly to the previous one:

m(x-x_(0))=y-y_(0)\n(x-0)=y-6\nx=y-6\Rightarrow -y=-x-6\Rightarrow y=x+6

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9)m=(9-0)/(3-0)\Rightarrow m=3\therefore 9=3(3)+b\Rightarrow b=0\Rightarrow f(x)=3x

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

 100y=331-500x\rightarrow y=(331-500x)/(100)\n500x=331-100y\nx=(331-100y)/(500)\n400((331-100y)/(500))+250y=326\n52.96-80y+250y=326\Rightarrow y=(9)/(25) \,and \,x=(59)/(100)

Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 80 in² 135 in² 160 in²

Answers

Answer:

Option 1st is correct

area of a triangle is, 80 in²

Step-by-step explanation:

Area of triangle(A) is given by:

A = (1)/(2) b \cdot h

where,

b is the base

h is the height or altitude of the triangle respectively.

As per the statement:

Base of a triangle(b) = 10 inches and

Height = altitude(h) = 16 inches

Substitute these in [1] we get:

A = (1)/(2)(10) \cdot 16

⇒A = 5 \cdot 16 = 80in²

Therefore, the area of a triangle is, 80 in²
10 × 16 = 160
160 / 2 = 80

Your answer would be 80in²

Hope that helps!

Please I need a answer fast

Answers

solution

X + k

X - 2k

=X+k-x-2k

=x-x+k-x-2k

=0-k

=-k

or,

1

k

On this chapter quiz for this course you can study for up to four hours If you don't study at all you will get a 70. One hour would give you an 80, the second hour increased your score to 89, the third to 92. If you studied the fourth hour your score would be 87. In which hour did diminishing returns set in? a. The second because your gain is less than the previous hour. b. The fourth because you had a drop in points in this hour. c. The third because your score peaked there. d. The first because the score was the lowest of the studying options.

Answers

Answer:

Step-by-step explanation:

Given that On this chapter quiz for this course you can study for up to four hours

Study time    Marks expected        Difference

  0                      80      

   2                     89                               9

   3                     92                               3

   4                      87                              -5

Thus we find when hours increase the scores also increase upto 3 hours but after that it starts decreasing.

Hence answer is

b. The fourth because you had a drop in points in this hour.

     
Other Questions
F(x) = -7x - 1f() = -8
What is the radius of a circle with circumstance of 22m
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
What are the solutions for the equation 2z^2+4z+2=0