Suppose you roll two standard number cubes once. Find the probability. P(7 or even)

Answers

Answer 1

To roll a seven you could have (1,6) (6,1) (2,5) (5,2) (3,4) (4,3)

6 different ways so 6/36 reduces to 1/6 way of getting a 7

For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 ways, probability is 18/36 reduces to ½

So for either one you now have 1/6 + 1/2 = 6+2/12 = 8/12 reduced to 2/3

Related Questions

Solve:

y^6 (y^5)

plz i put eleven idk why se says it's wrong :c

Answers

[tex]y^6(y^5)=y^{6+5}=y^{11}[/tex]

The dot plot below shows the hourly rate of some babysitters in a city: A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates. Which statement best describes the shape of the data? It is symmetric and has no gaps. It is not symmetric and has a peak at $7.00. It is a cluster from $1.00 to $7.00 and has no gaps. It is a cluster from $1.00 to $7.00 and has a peak at $6.00.

Answers

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

Step-by-step explanation:

it did this test

Use the law of cosines to find the missing third side

Answers

a^2=b^2+c^2-2bccosA

a^2=7.4^2+15.8^2-2(7.4)(15.8)cos54°

a^2=304.4-233.84cos54°

a=√(304.4-233.84cos54°) units

a≈12.92 units (to the nearest hundredth of a unit)

The missing third side BC is approximately 16.93 units. To use the Law of Cosines to find the missing third side (BC), we'll use the formula:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

where:

c is the side opposite angle C (BC in this case)

a and b are the known sides (AC and AB, respectively)

C is the angle opposite side c (angle BAC in this case)

Given values:

Angle BAC (C) = 54 degrees

AC (a) = 7.4

AB (b) = 15.8

Now, we can plug the values into the formula and solve for BC (c):

[tex]BC^2 = 7.4^2 + 15.8^2 - 2 * 7.4 * 15.8 * cos(54)[/tex]

To find cos(54), we can use a calculator:

[tex]cos(54 degrees) \approx 0.5878[/tex]

Now, we can continue the calculation:

[tex]BC^2 = 54.76 + 249.64 - 2 * 7.4 * 15.8 * 0.5878\\BC^2 = 54.76 + 249.64 - 17.44\\BC^2 = 286.96[/tex]

Now, find the square root of both sides to get the value of BC:

[tex]BC = \sqrt{286.96} \\BC \approx 16.93[/tex]

So, the missing third side BC is approximately 16.93 units.

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Ralph sold brownies for $0.27 a piece in order to earn money to buy baseball cards. If the cards cost $0.54 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?

Answers

Ha must have sold at least 2 pieces of brownies.

2 because $0.27 times 2 is $0.54.

find the area of the circle with diameter of 11mm leaving answer in terms of pi

Answers

area=πr^2
r=d/2=11/2=5.5
area=π*30.25=30.25π

Evaluate the expression : (0.4)^3=

Answers

.064 is the evaluation for (0.4)^3

The expression when evaluated, can be found to be 0. 064.

How to evaluate the expression ?

( 0 . 4 ) ³ means raising the number 0. 4 to the power of 3 , which is the same as multiplying 0. 4 by itself three times. This is how the expression is evaluated.

Start with:

0 . 4 * 0 . 4 * 0 . 4

Calculate each multiplication step:

1st multiplication: 0 . 4 * 0 . 4 = 0 . 16

2nd multiplication: 0 . 16 * 0 . 4 = 0 . 064

So, when you multiply 0. 4 by itself three times ( 0 . 4 * 0 . 4 * 0 . 4), you get the result of 0 . 064.

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Determine the range of: f(x) = 13 - 20x - x^2 -3x^4. Also, find the max. And min. Values and state where those values occur

Answers

To know the range of the equation, you must first see the graph by plotting arbitrary points. Set values of x in any interval and substitute it to the equation. You would get a corresponding value of f(x) or y. When you plot the points, the graph would look like that in the picture.

The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.

To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:

y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433

Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.

if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.

Answer:

a - √b

Step-by-step explanation:

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.x = (1/2) [ 2a +/- √(4a² - 4(a² - b)] = a +/- (1/2)*√(4b) = a +/- √bx = a + √b, or x = a - √b, as expected.

Please help :) :) :)

Answers

A motorboat travels 222 km in 6 hours going upstream.
Rate = distance/time = 222/6 = 37 km/hr
----------------------
It travels 390 km going downstream in the same amount of time.
Rate = distance/time = 390/6 = 65 km/hr
---------
What is the rate of the boat in still water and what is the rate of the current?
Equations:
Upstream: b-c = 37 km/hr
Downstrm: b+c = 65 km/hr

Add and solve for "b":
(2)b = 102 km/hr
b = 51 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 65
51 + c = 65
c = 14 km/hr (speed of the current)

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours. She works for x hours in a day and x is greater than 8, the expression giving her net earnings for the day is
A. x(80+1.5)
B. (x-8)1.5
C. 80+15 (x-8)
D. (8)(15)(x-8)

Answers

Some information is missing. The logical assumption is that you forgot to write that the rate for the hours worked over 8 hours is 50% more than the regular rate or, what is the same 1.5 times.

With that this is the solution step by step:

1) Number of hours worked: x

2) Rate for the first 8 hours: $10 per hour

2) Pay for the first 8 hours = $10 * 8 = $80

3) Number of hours worked over 8 hours = x - 8

4) Rate for the hours worked over 8: 1.5 times $10 per hour = $15 per hour

5) Pay for the hours worked over 8 = $15 (x - 8) = 15 (x - 8)

6) Total pay = 80 + 15 (x - 8)

That is the option C.

Answer: option C. 80 + 15(x - 8)

the answer is option C

Which of the following volumes represent a perfect cube? CHECK ALL THAT APPLY.

A. 1 in.3
B. 4 in.3
C. 8 in.3
D. 12 in.3
E. 25 in.3
F. 27 in.3
G. 64 in.3

Answers

Answer: A C F G

Step-by-step explanation:

The volumes that represent perfect cubes are A ) 1 inch³, C) 8 inch³, F) 27 inch³ and G) 64 inch³.

What is meant by Perfect Cubes?

Perfect cubes are defined as the number which is the result of the multiplication of another number, likely integers, to itself three times.

For example, 8 = 2 × 2 × 2

So 8 is a perfect cube of 2.

Given are a set of volumes in cubes.

A ) 1 inch³ can be written as 1 inch × 1 inch × 1 inch

So it is a perfect cube.

B) 4 inch³ cannot be written as the product of a number thrice.

So not a perfect cube.

C) 8 inch³ = 2 inch × 2 inch × 2 inch

Perfect cube

D) 12 inch³ not a perfect cube.

E) 25 inch³ not a perfect cube

F) 27 inch³ = 3 inch × 3 inch × 3 inch

Perfect cube

G) 64 inch³ = 4 inch × 4 inch × 4 inch

Perfect cube

Hence the perfect cubes are found.

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Find the height of a triangle with an area (A) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, A=1/2bh

Answers

A=bh/2

2A=bh

h=2A/b, we are given that A=35 in^2 and b=7 in

h=2(35)/7

h=10 in

Height of the triangle is 10 inches

What is Triangle ?

A triangle is a polygon with three edges and three vertices.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

Area of the triangle = 35 square inches

Base of the triangle = 7 inches

Area of the triangle = [tex]\frac{1}{2}bh[/tex]

where,

b is the base length and h is the height

Substitute the values in the equation

[tex]35=\frac{1}{2}(7)(h)\\ 35=3.5h\\h=\frac{35}{3.5}[/tex]

Height h = 10 inches

Hence, the height of the triangle is 10 inches

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Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

I need the answer asap whoever answers first and gets it right gets brainliest

Answers

4 - 8 = -4

A negative number is alwats at the left in a horizontal line.

Let's try to rapresent it.

-4 -3 -2 -1 0 +1 +2 +3 +4

So, you count from +4 to -4

Your answer is "8 units to the left of 4"

If matrix A has dimensions 3 x 2 and matrix B has dimensions 3 x 2, can matrix A and matrix B be multiplied?

Answers

Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns

The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3).

So the matrix multiplication A*B is undefined. We cannot multiply the matrices.

Answer:

we can not multiply matrix A and B.

Step-by-step explanation:

We have been given that

dimension of matrix A = 3 x 2

dimension of matrix B = 3 x 2

Rule of multiplying two matrices:

Two matrix can be multiplied if the column of first matrix is equal to the row of second matrix.

column of first matrix = row of second matrix

Here, we have

Column of first matrix A = 2

Row of second matrix b = 3

Since,, column of matrix A ≠ Row of matrix B

Hence, we can not multiply matrix A and B.

A baseball was pitched at a speed of 75.2 miles per hour. a tennis ball was served at a speed 1.5 times faster than this. how much faster was the speed of the tennis ball than the speed of the baseball?

Answers

75.2*1.5=112.8
112.8+75.2=188
188-75.2=112.8

Answer:

75.2*1.5=112.8

112.8+75.2=188

188-75.2=112.8

factors of 212 like finding a common factor its really hard because the number is so high please please HELP ME!!!!!!!

Answers

Answer:

1.2..17.5

Step-by-step explanation:

i had been singing for the operpopitay

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?
2 + 3
2 + (–3)
–2 + (–3)
–2 + 3

Answers

it starts at 2 degrees which is not a negative number and temperature rises so it isn't a negative number either

so it would be 2+3

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is A, 2+3.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the temperature at 9 a.m. is 2 degrees. Further, the temperature rises 3 more degrees by noon.

As two whole numbers are added together, the total quantity or sum of those values is obtained. Therefore, the expression that describes the temperature at noon is 2 + 3.

This is because the temperature is positive and after the temperature rises, the temperature will be added.

Hence, the expression that describes the temperature at noon is 2 + 3.

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Write the equation of a linear function in point-slope form and slope-intercept form for a line that passes through point A(3,-7) and has an undefined slope.

Answers

y+7=? (×-3) is the answer to your question

help someone plz

A student needs to make a rectangular cardboard piece that is 12 inches long. The area of the cardboard piece should be between 60 square inches to 300 square inches. The function f(w) relates the area of the cardboard, in square inches, to the width w in inches. Which of the following shows a reasonable domain for f(w)?

A: 2 ≤ w ≤ 5

B: 5 ≤ w ≤ 25

C: 25 ≤ w ≤ 60

D: 60 ≤ w ≤ 300

Answers

area = L x w

60 = 12 x w

w=60/12 = 5

300 = 12 x w

w = 300/12 = 25

so B is the correct answer

Answer:

Option B

[tex]5 \leq w \leq 25[/tex]

Step-by-step explanation:

Let

L------> the long of the cardboard piece

W-----> the width of the cardboard piece

The area of cardboard piece is equal to

[tex]A=L*W[/tex]

In this problem we have

[tex]L=12\ in[/tex]

[tex]A=12W[/tex]

[tex]f(W)=12W[/tex]------> equation A

[tex]f(W)\geq 60\ in^{2}[/tex] ------> inequality B

[tex]f(W)\leq 300\ in^{2}[/tex] ------> inequality C

Substitute equation A in the inequality B

[tex]12W\geq 60\ in^{2}[/tex]

[tex]W\geq 60/12[/tex]

[tex]W\geq 5\ in[/tex]

Substitute equation A in the inequality C

[tex]12W\leq 300\ in^{2}[/tex]

[tex]1W\leq 300/12[/tex]

[tex]1W\leq 25\ in[/tex]

The domain for the function f(W) is equal to the interval------> [tex][5,25][/tex]

A woman bought a dress at a discount of 16 2/3. If the woman paid 32.50, what was the original price of the dress

Answers

the original price = what the woman paid + discount
   = 32.50 + 16 2/3
   = 32.50 + 50/3

convert to one form of fractions (improper or decimal)
   = 49 1/6
   = 49.16

--------------------------------------

In case of 16 2/3 % discount of the original price:

price after discount = price before discount - discount
   = x - 16 2/3 % of x
   = x - 01667x
   = 0.833 x
   32.5 = 0.833 x

then x = 32.5/0.833 = 39.015 =~ 39

hope that helps

what's the Least common multiple for 2,6,8?

Answers

2= 2*1

6= 2*3

8= 2*4
8= 2*2*2

The lcm of these three numbers equals 2*2*2*3*1. Notice how we only multiply 3 sets of 2. This is because 2 is a common factor between all 3 of the numbers.

2*2*2*3*1= 24

Final answer: 24

need help, thank you!

2x+3y=5x−y

y=0

x=?

Answers

2x + 3y = 5x - y
2x -5x = -y - 3y
-3x =-4y
X=4\3 y

Answer:

X=4\3

Step-by-step explanation:

If f(x)=6x and g(x) = 4x+1, find ( f o g)(x)

Answers

(f○g)(x)=f(g(x))

(f○g)(x)=6(4x+1)

(f○g)(x)=24x+6

The answer would be 24x+6

Eight states in the united states start with the letter M. What fractions of states in simplest form,begins with the leter M?

Answers

50 total states....8 start with M

fraction of states beginning with M = 8/50 reduces to 4/25 <==

Five scouts took a white water rafting trip. The total cost of the trip was $721. Each person in the group received a student discount of $6. Write and solve an equation to find out how much each student paid before discount.

Answers

cost per student before discount = 721/5+6

721/5 = 144.20 +6 = 150.20

Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to clean the room together?

7
10
seven tenths
ten sevenths

I think the answer is tenth sevenths but im not sure! Please Help ASAP

Answers

Ten sevenths. Hope this helps

Answer: ten sevenths

Step-by-step explanation:

Given: Time taken by Jennifer to clean her room [tex]t_1= 2 \text[ hours}[/tex]

Time taken by John to clean same room [tex]t_2= 5\text[ hours}[/tex]

If they work together to clean the room , then the total time taken by them is given by :-

[tex]\dfrac{1}{t}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{5+2}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{7}{10}\\\\\Rightarrow\ t=\dfrac{10}{7}\text{ hours}[/tex]

Answer this please image below

Answers

The answer is D.

A histogram never provides information regarding how many for an exact number. A histogram measures frequency by looking at and comparing several ranges.

D or the last answer would be correct.

The last answer includes information that can't be drawn from the histogram.
It ask for a specific number of bottles when the histogram utilizes a range to sort the amount of bottles collected.

Hope this helps!

Find the measure of angle AOE in the diagram below.
Help will be appreciated!

Answers

i believe the answer is c) 120

Answer:

We choose D

Step-by-step explanation:

Given that:

∠BOA = (3x -28) degrees ∠COD = (66 -x) degrees ∠BOC = 90 degrees

As we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:

(3x -28) + (66-x) +90 = 180

<=> 2x = 52

<=> x = 26 degrees.

=> ∠BOA = 3*26 - 28 = 50 degrees

As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)

<=> ∠DOE = 50 degrees

Once again, the AD is a straight line, so we have:

∠DOE + ∠AOE = 180

<=> ∠AOE = 180 - ∠DOE

<=> ∠AOE = 180 - 50 = 130 degrees

We choose D

A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?

Answers

Well, there are 1,000 meters in a kilometer, so you just need to multiply 1000 by 332.

332 x 1000 = 332,000

A peregrine falcon can fly 332,000 meters per hour. Hope this helps!

~Ash

3 because u would have to divide it up.

25/150 in simplest form

Answers

The answer i came up with was 1/6

The GCF between 25 and 150 is 25.
Divide bothe the numerator and denominator by 25 to get the simplest form.
25/25=1
150/25=6
Final answer: 1/6

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