Suppose you roll a die 5 times. What is the probability of getting at least one odd number ​?

Answers

Answer 1

Answer: 1/2 or 50%

Step-by-step explanation:        

A dice has 6 numbers; 1,2,3,4,5,6

3 of which are odd numbers

which means:

p(event)= number of favorable outcomes/ number of possible outcomes

p(odd)=3/6

3/6=1/2 or 50%


Related Questions

The total mass of 8 cereal boxes is 4 kilograms. What is the mass of each box of cereal in grams?

Answers

Answer:

500 grams

Step-by-step explanation:

we can conclude that the mass of each box is 0.5 kg by dividing 4 by 8

0.5 kg is 500 grams

A cardboard box, which has the shape of a parallelepiped, has the following sizes: 35 cm by 27 cm
(rectangular base). The height of the box is - 27 cm. Calculate the volume of the box.

Answers

Answer:

25,515

Step-by-step explanation:

35 x 27 x 27

945 x 27

25,515

Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132

Answers

Answer:

Step-by-step explanation:

This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.

36 liters.

36 km/3 Liters = x / 36             multiply both sides by 36

36*36 / 3 =  x

1296/3 = x

x = 432 km

So on 36 L he can go 432 km

3 liters

Given as 36 km

48 liters

36km/3 liters = x / 48 liters         Multiply both sides by 48

48*36/3 = x

576 km = x

So on 48 liters, he can go 576 km

132 liters

36 km/ 3 liters = x/132

x = 1564 km

On 132 liters Pat can go 1564 km

please help asap and please leave a real answer thank you

Answers

Answer:

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Step-by-step explanation:

Equation of a rational function is

[tex] \frac{p(x}{q(x)} [/tex]

where q(x) isn't zero.

There is a vertical asymptote at

[tex]x = 1[/tex]

So this mean that our denomiator must have a zero that occur at x=1.

That zero is

[tex]x - 1[/tex]

So our denomiator is

[tex] \frac{p(x)}{x - 1} [/tex]

Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.

So our rational function is

[tex] \frac{ax + b}{x - 1} [/tex]

We know the graph pass through (0,3)

So if we apply that logic,

[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]

[tex] \frac{b}{ - 1} = 3[/tex]

[tex]b = - 3[/tex]

And it passes through (4,0)

[tex] \frac{a(4) + b}{3} = 0[/tex]

[tex]4a + b = 0[/tex]

[tex]4a + ( - 3) = 0[/tex]

[tex]4a = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our rational equation is

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Which expression is equivalent to z+z+z+z+3?

A. 7z
B. 4z + 3
C. 3z +4
D. z3​

Answers

B (4z + 3) is the correct answer. This is because you collect like-terms (z in our case)

Answer:

4z+3

Step-by-step explanation:

multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it

A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.​

Answers

Solution :

We have been provided with the total surface area of cube that is 150cm².

So here we will first find out the value of a side of cube.

Total surface area of cube :-

T.S.A. = 6a²

Here,

a is side of cube

Putting the values,

6a² = 150cm²

a² = 150 / 6

a² = 50 / 2

a² = 25

a = √25

a = 5

Henceforth,

Side of a cube is of 5 cm.

Finding out volume of cube :-

As we know that volume of cube is calculated by the formula :

V = a³

Putting the values,

V = 5³

V = 5 × 5 × 5

V = 25 × 5

V = 125

Henceforth,

Volume of cube is of 125 cm³.

10 men can do the work in 8 days. how many men should be reduced to finish the work in 10 days​

Answers

If Reducing 2 men will bbe enough too finish the work in 10 days

For rate of work use the formualar

rate of work = quantity of work / duration

10 men can do the work at a rate of  =  1 / 8

x men can do same work at a rate of = 1 / 10

x * ( 1 / 8 ) = 10 * ( 1 / 10 )

x = 1 * 8 = 8

therefore 8 men can do the work in 10 days

number of men reduced = 10 men - 8 men = 2 men

Hope it helped

I don’t understand this question. Someone help pls

Answers

Answer:

49.67ft

Step-by-step explanation:

i used the internet, use it too

Consider the sum 7+(-11)+4

Answers

Answer:

0

Step-by-step explanation:

7-11=-4

-4+4=0

Can someone help me plssss!!!
The dimensions of a right rectangular prism are shown below.

How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
show the work pls.​

Answers

Answer:

a.

Step-by-step explanation:

open chormecanvis and draw little cubes on the side of the prisum, thats wahat i did

Represent the sum of the complex numbers 2−3i and −1−i on the complex plane.

Use the Point and Segment tools to plot all required points and segments.

Answers

Answer: I took the test and this is the answer.

ents
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard
model requires 4 hours to assemble and 2 hours for finishing touches. The artisan model requires 2
hours to assemble and 2 hours for finishing touches. Based on their current staffing, they can
manage a maximum number of assembly hours available is 48 per day, and the maximum number
of finishing hours available is 44 per day.
Let x = the number of standard model bookcases produced per day and y = the number of artisan
model bookcases produced per day.
Write the system of inequalities that represents the maximum number of bookcases that can be
produced in one day.

Answers

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

    First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

    We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

    Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

    Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

    We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

    Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

please help with this problem!!

Answers

Answer:

12 cups

Step-by-step explanation:

The ratio he uses is

2 parts strong coffee

3 parts milk

Let's say he makes a recipe exactly like the amounts of the ratio.

2 cups strong coffee

3 cups milk

Total: 2 cups + 3 cups = 5 cups

He wants to make 30 cups, so 5 cups is not enough.

Let's double the amounts of the recipe keeping the same ratio of 2 to 3.

2 × 2 = 4 cups strong coffee

3 × 2 = 6 cups milk

Total: 4 cups + 6 cups = 10 cups

He wants to make 30 cups, so 10 cups is not enough.

We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.

We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.

Multiply both numbers in the ratio by x.

2x cups of strong coffee

3x cups of milk

Now add: the total amount will be 5x cups

We want 30 cups, so

5x = 30

Solve for x.

x = 30/5 = 6

x, the multiplier we need is 6.

2x cups strong coffee = 2(6) cups = 12 cups

3x cups milk = 3(6) cups = 18 cups

Answer: 12 cups

compute the probability of tossing a six-sided die and getting a number less than 3

Answers

Answer:

We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.

Out of those 6 sides, they want to find out if we can roll a number less than 3.

First, let's find how many numbers there are on this die that are less than 3.

1 and 2, so there are 2 sides that contain numbers less than 3 on this die.

So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.

1/3 probability.

Convert this into a percent if you'd want:-

1/3 · 100

= 33.333... which can be rounded to a 33% probability.

Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment

Answers

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Gross domestic product

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Learn more about GDP here:https://brainly.com/question/1383956

In which step was the subtraction property of equality applied?

Answers

Answer:

step 1 is the answer

if you like my answer please like comment and mark me as brilliant

Answer:

D - The subtraction property of equality was not applied to solve this equation

Step-by-step explanation:

I got it right on the test

Explanation - they added 7 to both sides, so there was no subtraction property used

Compare the integers.
-14
-23
A)
B)
> Greater than
O
= Equal to
D
Neither

Answers

Answer:

-14 > -23

Step-by-step explanation:

-14 is greater than -23 since it is closer to 0 than -23.

hope this helps!! p.s. i really need brainliest :)

The sum of the three interior angles of a triangle is 180. Suppose one angle is 74 and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.

Answers

Answer:

53

Step-by-step explanation:

[tex]sum \: of \: angles = 180 \\ 180 = 74 + 2x \: where \: x \: is \: the \: measure \: of \: the \: other \: angles \\ 180 - 74 = 2x \\ 106 = 2x \\ x = \frac{106}{2} \\ x = 53[/tex]

Always welcome

Convert the function from vertex form to standard form.
-1/2(x + 2)^2 - 3

Answers

Answer:

[tex] -\frac{1}{2}x^2-2x-5 [\tex]

Step-by-step explanation:

To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3[/tex] which simplifies further to [tex]-\frac{1}{2}x^2-2x-2-3[/tex] and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]

Hope this helps :)

a student needs to fill a tank with 9 liters of waters how many 1/3 liters of water will it take to fill the tank

Answers

It will take 27 containers of 1/3 liter to fill the tank.

Since you need 3 containers of 1/3 to have a full liter, and 9 liters for the tank, 9*3=27.

Answer:

27

Step-by-step explanation:

1= 1/3x3

3x9=27

Find the surface area of the Cylinder, will mark BRAINLIEST if correct

Answers

Answer:

About 1885 sq. ft

Step-by-step explanation:

[tex]v = \pi \: (10)^{2} (6) [/tex]

Since the radius is 10ft and the height of the cylinder is 6 ft you substitute that into the formula and you receive 1884.96.

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

I believe it is Dissolve.

In a 3-digit number, the hundreds digit is four more than the units digit, and the tens digit is three more then the sum of the other digits. Find the three digits if the sum of all three digits is 15. Then find the number.

Answers

Answer:

591

Step-by-step explanation:

Let's use algebra to solve this question:

Units digit = x

Hundreds digit = x+4

Tens digit = 3 + (x+4) + x = 2x +7

All 3 digits = 15

so x + (x+4) + 2x + 7 = 15

4x +11 =15

4x = 4

x = 1

Then you substitute:

Units = 1

Hundreds = 1+4 = 5

Tens = 2(1) + 7 = 2 + 7 = 9

The number is therefore 591.

A line passes through the point (-4,9) and has a slope of -3/2. Write an equation in slope intercept form for this line

Answers

Answer:

y = -3/2x + 3

Step-by-step explanation:

slope-intercept form: y - y₁ = m (x - x₁)

y - 9 = -3/2 ( x + 4)

y = -3/2 x - 6 + 9

y = -3/2x + 3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

What is the smallest positive integer n such that n! ends in at least 2019 zeros?​

Answers

Answer:

I think there's 502

Step-by-step explanation:

if this is a olunomical question that should be it I believe, because you have to write in standered form then when it equals zero, then factor it

Determine the perimeter of the figure below:
6 cm
5 1/2


helpppp

Answers

Answer:

•SEE BELOW•

WHAT IS PERIMETER?

>> PERIMETER MEANS THE SUM OF ALL SIDES OF FIGURE

NOW,LET'S SEE YOUR GIVEN QUESTION.

THE FIGURES 2 SIDES DATA IS GIVEN

6CM

5.5CM

THEREFORE : 6 + 5.5

: 11.5 CM

THE PERIMETER OF FIGURE IS 11.5 CM

Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money is left in the account for 12 years.

Answers

100 x .4 = 40

40 x 12 = 480

The bank account would have $480 over 12 years. Hope this helps and please mark brainliest

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude ​

Answers

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

Solution:

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

Heron's Formula

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

[tex] \sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}[/tex]

where ( s ) :

[tex] \sf \longrightarrow s = \dfrac{a + b + c}{2} [/tex]

Therefore, for the given triangle first we will calculate ( s )

[tex] \begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}[/tex]

Now, Area of triangle will be:

[tex] \begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}[/tex]

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

[tex] \begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}[/tex]

Answer:

Area = 939.15 cm² (2 d.p.)

Shortest Altitude = 30.79 cm (2 d.p.)

Step-by-step explanation:

Heron's Formula allows us to find the area of a triangle in terms its side lengths.

Heron's Formula

[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

where:

a, b and c are the side lengths of the triangles is half the perimeter

Given values:

a = 35 cmb = 54 cmc = 61 cm

Find the value of s:

[tex]\sf \implies s=\dfrac{a+b+c}{2}=\dfrac{35+54+61}{2}=75\:cm[/tex]

Substitute the values into the formula and solve for area:

[tex]\begin{aligned}\implies \sf Area & =\sf \sqrt{75(75-35)(75-54)(75-61)}\\& = \sf \sqrt{75(40)(21)(14)}\\& = \sf \sqrt{882000}\\& = \sf \sqrt{176400 \cdot 5}\\& = \sf \sqrt{176400}\sqrt{5}\\& = \sf 420\sqrt{5}\\& = \sf 939.15\:\:cm^2\:\:(2\:d.p.)\end{aligned}[/tex]

The altitude of a triangle is a perpendicular line segment drawn from a vertex of the triangle to the side opposite to it.

The shortest altitude of a triangle is drawn to the longest side.

Therefore, the shortest altitude will be the height of the triangle when the longest side is the base:

[tex]\begin{aligned}\textsf{Area of a Triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \sf 420\sqrt{5} & = \sf \dfrac{1}{2} \times 61 \times altitude \\\implies \sf Altitude & = \sf \frac{2 \cdot 420\sqrt{5}}{61}\\& = \sf \dfrac{840\sqrt{5}}{61}\\ & = \sf 30.79\:\:cm\:\:(2\:d.p.)\end{aligned}[/tex]

Solve the system of equations.


2x−9y=14
x=−6y+7

Answers

Step-by-step explanation:

[tex]put \: x \: into \: equation \: 1[/tex]

[tex]2( - 6y + 7) - 9y = 14[/tex]

[tex] - 12y + 14 - 9y = 14[/tex]

[tex] - 21y + 14 = 14[/tex]

[tex] - 21y = 14 - 14[/tex]

[tex] - 21y = 0[/tex]

[tex] \frac{ - 21y}{12} = \frac{0}{21} [/tex]

[tex]y = 0[/tex]

[tex]put \: y = 0 \: into \: equation \: 2[/tex]

[tex]x = 6y + 7[/tex]

[tex]x = 6(0) + 7[/tex]

[tex]x = 0 + 7[/tex]

[tex]x = 7[/tex]

Answer:

y = 0

x = 7

Step-by-step explanation:

2x − 9y = 14     ⇒  ( 1 )

x = − 6y +7      ⇒ ( 2 )

First, let us find the value of y.

For that, replace x with ( - 6y + 7 ).

Let us take equation 1 for that.

2x − 9y = 14

2 ( - 6y + 7 ) - 9y = 14

-12y + 14 - 9y = 14

21y = 14 - 14

21y = 0

Divide both sides by 21.

y = 0

And now let us take equation 2 to find the value of x by replacing y with 0.

2x − 9y = 14    

2x - 9 × 0 = 14

2x - 0 = 14

2x = 14

Divide both sides by 2.

x = 7

For which values of x is the expression undefined x-8/x-5

Answers

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

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