What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds

Answers

Answer 1

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer 2

Answer:

1/3

Step-by-step explanation:

I took the test


Related Questions

A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 666 to get the output.
Which input and output table works for the rule?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Input Output
000 666

(Choice B)
B
Input Output
111 777

(Choice C)
C
Input Output
222 121212

Answers

Answer:

None of input and output table work for the rule.

Step-by-step explanation:

Start with the numbers given at A, B,C.

According to the rule you need to multiply by 666 to get the output.

A 000 * 666 = 0 (=NOT the output)

B 111 * 666 = 73926 (=NOT the output)

C 222 * 666 = 147852 (=NOT the output)

None of input and output table work for the rule.

Answer:

c

Step-by-step explanation:

khan academy

About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau

Answers

Answer:

Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)

Step-by-step explanation:

The information given is not enough to determine the probability.

We need to know, how many Clouseau are seen each year, then we can find the desired probability.

The Parameters:

Total number of manta rays seen each year = 450

Probability that if a manta ray is spotted at random, it would be clouseau,

P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)

P = C/T

P = C/450

What is b and what is c in degrees?

Answers

Answer:

c is 90 degrees and b is 10 degrees hope its right

Step-by-step explanation:

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

What term must we add to complete the square on x^2 + 12x


Answers

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above

Answers

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\

= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\

=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\

=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]

Solve the equation.

29= p x 20

p= __

Answers

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]

now u end up with 1.45=p

hope it helped

So do i divide by 2 each time?

Answers

Divide by two if you are dividing by two...

Hi can you please help me

Answers

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?

Answers

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

Justin earned $25.67 one week and $37.85 the next
week. He also purchased a DVD for $19.99 and gas for
his car for $22.07. He started with a zero balance in his
checking account. Justin recorded all of these
transactions in his checkbook and ended up with a
balance of $105.58. Was his balance correct? If it was,
write an equation to support the answer. ​

Answers

Answer:

No, Justin isn't correct

Step-by-step explanation:

Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.

($25.67+$37.85)-($19.99+$22.07)=$21.46

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Money earned      Money spend     Money left

A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00

Answers

Answer:

You will get $3 back

mark me as brainliest pls

Step-by-step explanation:

$25 times 8%= 2

25+2=27

30-27=3

Answer:

$3

Step-by-step explanation:

25*.08=2

25+2=27

30-27=3

If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?

Answers

Answer:

The shape of a cone

Step-by-step explanation:

If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).

the leg we choose to rotate around will be the height of the cone.

The other leg will be the radius of the cone's base.

And the hypotenusa of the right triangle will be the slant height of the cone.

Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?

Answers

80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%

Answer: 80%

Step-by-step explanation:

Rule of 3.

Let's put the money on the left side and the percents on the right side.

[tex]\frac{250}{450}=\frac{100}{x}[/tex]

Solve for x:

[tex]x=\frac{450*100}{250}[/tex]

[tex]x=180[/tex]

Subtract 100 from 180

180-100=80

A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family

Answers

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?

Answers

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

Round your answer to the nearest hundredth..
B
?
5
2
A
С

Answers

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

what’s the missing number ?

Answers

Answer:

84

Step-by-step explanation:

One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:

2x = 12(14)

2x = 168

x = 84

Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.

Hope this helped! :)

A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.

Answers

Answer:

73,139.67

Step-by-step explanation:

SC Bookmarks
3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is

Answers

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?

Answers

Answer:

Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.

Step-by-step explanation:

I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6

Answers

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m​

Answers

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?

Answers

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11

Answers

Answer:

4x^2−4x+7

Step-by-step explanation:

Let's simplify step-by-step.

4x^2−10x+9+6x−2

=4x^2+−10x+9+6x+−2

Combine Like Terms:

=4x^2+−10x+9+6x+−2

=(4x^2)+(−10x+6x)+(9+−2)

=4x^2+−4x+7

Answer:

=4x^2−4x+7

Answer:

A

Step-by-step explanation:

If angle AOC = 40 degrees, how many degrees is angle ABC?

Answers

80........................

Thank you so very much for helping

Answers

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Factor the following polynomial:
5x(a - b) – 2y(a - b)

Answers

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

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