If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

Answers

Answer 1

Answer in fraction form: 5/8
Answer in decimal form: 0.625

==============================================

Explanation:

There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6

Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4

Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8

The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)

Note: the multiplication of probabilities works because the two events (of rolling each die) are independent

Related Questions

Find (tan A+B) if A and B are in quadrant 2 with tan A=(1/3) and sin B=(20/29)

Answers

Final answer:

The value of [tex]$ \tan(A + B) $[/tex] in quadrant 2, where [tex]$ \tan A = \frac{1}{3} $[/tex] and [tex]$ \sin B = \frac{20}{29} $[/tex], is [tex]$ \frac{11}{57} $[/tex].

Explanation:

To find [tex]$ \tan(A + B) $[/tex], we can use the formula [tex]$ \tan(A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B} $[/tex]. Given that \[tex]( \tan A = \frac{1}{3} \)[/tex] and [tex]$ \sin B = \frac{20}{29} $[/tex], we can determine [tex]$ \cos B $[/tex] using the fact that [tex]$ \sin^2 B + \cos^2 B = 1 $[/tex]. Therefore, [tex]$ \cos B = \sqrt{1 - \sin^2 B} = \frac{21}{29} $[/tex].

Now, substitute the values into the formula for [tex]$ \tan(A + B) $[/tex]:

[tex]\[ \tan(A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B} \][/tex]

[tex]\[ = \frac{\frac{1}{3} + \frac{20}{29}}{1 - \frac{1}{3} \cdot \frac{20}{29}} \][/tex]

[tex]\[ = \frac{\frac{29 + 60}{87}}{\frac{87 - 20}{87}} \][/tex]

[tex]\[ = \frac{\frac{89}{87}}{\frac{67}{87}} \][/tex]

[tex]\[ = \frac{89}{67} \][/tex]

Therefore, [tex]$ \tan(A + B) = \frac{11}{57} $[/tex] in quadrant 2.

Final answer:

To find (tan A+B) when A and B are in quadrant 2, find the components of A and B along the x- and y-axes using A = 34.0 m, θA = 63.0°. Calculate Ax = A cos θA and Ay = A sin θA. Then use the formula tan(A + B) = (tan A + tan B) / (1 - tan A tan B) to find the sum of the tangents.

Explanation:

First, we find the components of A and B along the x- and y-axes. From the problem, we know that A = B = 34.0 m, and θB = 63.0°. We find the x-components by using Ax = A cos θ, which gives Ax = 34.0 cos 63.0° = -15.23 m.

Similarly, we find the y-components by using Ay = A sin θ, which gives Ay = 34.0 sin 63.0° = 29.88 m.

Now, we can find the sum of the tangents of A and B using the formula tan(A + B) = (tan A + tan B) / (1 - tan A tan B). Substituting the given values, we have tan(A + B) = (1/3 + Ay/Ax) / (1 - (1/3)(Ay/Ax)).

given that an arithmetic sequence can be expressed as a linear function in the form f(x)=mx+b, write a linear function to describe the sequence {10,15,20,25,30,35...}

Answers

For this case we have:
m = (y2-y1) / (x2-x1)
m = (15-10) / (2-1)
m = 5/1
m = 5
Then,
y-yo = m (x-xo)
where,
(xo, yo) = (1, 10)
Substituting:
y-10 = 5 (x-1)
y = 5x -5 + 10
y = 5x + 5
Answer:
a linear function to describe the sequence is:
y = 5x + 5

Answer:

a linear function to describe the sequence is:

y = 5x + 5

Step-by-step explanation: ik ur on usa te$t prep

Find a unit vector that is perpendicular to the vector 5, −4

Answers

[tex]( \frac{4}{ \sqrt{41} } , \frac{5}{ \sqrt{41} } )[/tex]

An electrolyte solution has an average current density of 111 ampere per square decimeter \left( \dfrac{\text{A}}{\text{dm}^2}\right)( dm 2 A )left parenthesis, start fraction, A, divided by, d, m, start superscript, 2, end superscript, end fraction, right parenthesis. What is the current density of the solution in \dfrac{\text{A}}{\text{m}^2} m 2 A start fraction, A, divided by, m, start superscript, 2, end superscript, end fraction?

Answers

Average current density of the solution = 1 ampere per square decimeter

We have to find the average current density of the solution in ampere per square meter.

1 decimeter = [tex] \frac{1}{10} [/tex] meter
Squaring both sides we get

1 decimeter square = [tex] \frac{1}{100} [/tex] meter square

Current density = [tex]1 \frac{A}{dm^{2} } =1 \frac{A}{ \frac{1}{100} m^{2} } =100Am^{-2} [/tex]

Thus, the density of electrolyte solution is 100 ampere per square meter

Answer:

Answer is 100

Step-by-step explanation:

If 75 capsules of a drug cost $60, what would 40 capsules of the same drug cost?

Answers

75 capsules = $60

1 capsule = 60 ÷ 75 = $0.80

40 capsules = $0.80 x 40 = $32

Answer: $32

You’re getting riped of for that price

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. How many grams of coffee beans foes Diana uses when company comes?

Answers

The question uses proportional reasoning to determine the quantity of coffee beans Diana would need to make a different volume of coffee. By setting up a ratio based on the original 30 grams for 48 fluid ounces, we can calculate the necessary amount of coffee beans for any new volume of coffee required which is 60 grams.

The question relates to proportion and unit conversion, both key concepts in mathematics, specifically in dealing with ratios and measurements. Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. If 'company comes' and she needs to make more or less coffee, the same ratio of coffee beans to water would apply. To determine the amount of coffee beans Diana would need for a different volume of coffee, you would set up a proportion based on the given ratio and solve for the unknown quantity.

To calculate the amount of coffee beans for a new volume, you can use the following steps:

Determine the new volume of coffee in fluid ounces.

Set up a ratio comparing 30 grams of coffee beans to 48 fluid ounces.

Use the new volume in the ratio to solve for the amount of coffee beans required.

For example, if Diana wants to make 96 fluid ounces of coffee for her company, the proportion would be:

30 grams / 48 fluid ounces = X grams / 96 fluid ounces

Solving this gives us X = (30 grams * 96 fluid ounces) / 48 fluid ounces = 60 grams. Hence, Diana would need 60 grams of coffee beans for 96 fluid ounces of coffee.

Mr. Sanchez bought 2 magazine for 9.95 each and 1 book for 14.95 if the sales tax is 6% what is the total cost of Mr. Sanchez purchases

Answers

rst you have to find the price of everything together

2 magazines for 9.95 each and a book for 14.95

9.95 + 9.95 + 14.95 = 34.85

Next you convert the percent to a decimal

6% = 0.06

Now you put a one in the ones place

1.06

Multiply this by the cost of everything

34.85 * 1.06 = 36.94

The answer is $36.94

Hope this helps!

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A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

Answers

The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190

Answer:

B on edge 190

Step-by-step explanation:

It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messages than pictures. How many text messages, x, and pictures, y, did you send?

Answers

The first thing we must do for this case is to define variables:
x: text messages
Y: pictures
We write the system of equations:
0.05x + 0.10y = 4
x = y + 5
Solving the system we have:
x = 30
y = 25
Answer:
you send:
30 text messages
25 pictures

Final answer:

This is a problem of system of linear equations. We form two equations from the conditions given in the problem, and solve the system of equations to find the number of text messages and pictures sent.

Explanation:

This is a problem of system of linear equations. Here are two conditions mentioned: The total cost and difference of number of text messages and pictures.

Let's denote the number of text messages as x and pictures as y as per your question.

From the cost, we have the equation: $0.05x + $0.10y = $4.

From the difference of the number of sent messages and pictures, we have: x = y + 5.

Now we can substitute x from the second equation into the first one, get the value for y, and calculate the value for x after. Here you have step-by-step solution for your problem.

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Help me please!! I wanna make my mother proud>3

Find the product.

4(−12)(−3)
A) −144
B) −96
C) 144
D) 72

Answers

I believe it's C.

Hope this helps!

a) learn to use your calculator

b) recognize that the even number of minus signs will mean the product is positive, and that 4*3 = 12, so this becomes 12² = 144 (math facts you have memorized).

The appropriate choice is ...
C) 144

Regina's mom bought her some bracelets. There were a total of 85 bracelets in 5 packages.

Which of the following equations would describe n, the number of bracelets that were in one package?

A. n + 5 = 85

B. n ÷ 5 = 85

C. n - 5 = 85

D. n × 5 = 85

Answers

The answer your looking for is B

Evaluate log416 -2 1/2 2

Answers

16 = 4²

So, by the definition of logarithms

[tex]\log_4{16}=2[/tex]

What is the slope of the line y = 3?

Answers

The slope of a line y = any constant real number is 0.

This is because the equation y = a number represents a straight horizontal line on a graph.

A snow storm left 1.25 feet of snow on the ground overnight. At noon today, the temperature will be above freezing and the snow will melt. If the melting snow is modeled by the equation y = -1 3 x + 1.25, how long will it take for the snow to melt away?

Answers

y = -13x + 1.25
0 = -13x + 1.25
-1.25 = -13x
3.75 = x

then,

3.75 hours to 3 hours 45 minutes

Given: triangle ABC, AB = BC Perimeter of ΔABC = 50 Perimeter of ΔABD = 40 Find: BD

Answers

The answer is 15. You can use a equation 2x+2y=50 for ABC and so then x+y=25. x+y+h=40(ABD), so h is 15 units.

The measure of angle ABC and BDC is 80° and 90° respectively.

What is the triangle?

In geometry, a triangle is a closed, two-dimensional shape with three straight sides. A triangle is also a polygon.

Given the ΔABC in which AB ≅ BC, m∠ABD = 40° and BD is the median of ΔABC.

We have to find the measure of angle ∠ABC and ∠BDC.

As the median of the isosceles triangle split the angle at the vertex into two equal parts i.e ∠ABC is twice the angle ∠ABD.

[tex]\rm \angle ABC=2\angle ABD\\\\\angle ABC=2 \times 40\\\\\angle ABC=80[/tex]

Also, the median of an isosceles triangle is perpendicular to the opposite side i.e to the base. Here, BD is perpendicular to AC.

∠BDC=90°

Therefore, the measure of angle ABC and BDC is 80° and 90° respectively.

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What is 3km 9hm 9dm +7km 7dam

Answers

3+9+9+7+7=36
Good night hope thid helps

using conversion

let km be the base unit

9 hm = 0.9km
9 dm = 0.0009 km
7 dam = 0.07km

adding all of the values

3 + 0.9 + 0.00009 + 7 + 0.07 = 10.97009

Which ordered pair is the best estimate for the solution of the system of equations? y=−12x+4y=12x−3 (7, 1) (7, 0) (7, 0.5) (7.5, 0.5)

Answers

A quick way of doing this is to use a graphing calculator and find the point in which both graphs intersect. Another way of doing this is to substitute. Substitute the x’s and y’s of each equation in for each ordered pair and look for the one that is true. Though what’s confusing me is that, the solution is (0.3,0.5).

ANSWER

[tex](7,0.5)[/tex]

EXPLANATION

We want to solve the system;

[tex]y = - \frac{1}{2} x + 4...(1)[/tex]
and

[tex]y = \frac{1}{2} x - 3...(2)[/tex]

Add equations (1) and (2) to get,

[tex]y + y = 4 + - 3[/tex]

This implies that,

[tex]2y = 1[/tex]

[tex]y = \frac{1}{2} [/tex]

or

[tex]y = 0.5[/tex]

We put y=½ into equation (2) to get,

[tex] \frac{1}{2} = \frac{1}{2} x - 3[/tex]
Multiply through by 2 to get,

[tex]1 = x - 6[/tex]
This implies that,

[tex]x = 1 + 6 = 7[/tex]

Therefore the best estimate for the system of equations is
[tex]
(7,0.5)[/tex]
The correct answer is C

Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants.
For every 777 plants in Coco's garden, there are 2_____ plants.

Answers

8 + 4 + 3 + 6 = 21There are 21 plants altogether.21 is 3 times 7.For every 21 plants there are 6 pumpkin plants, sofor every 7 plants, there are 2 pumpkin plants.

Which of the following sets shows all the numbers from the set {0, 0.5, 1, 2.5, 3} that make the inequality 2a + 3 ≥ 8 true?
{2.5, 3}
{1, 2.5, 3}
{0, 0.5, 1}
{0.5, 1}

Explain how you got your answer
PLEASE AND THANK YOU

Answers

It’s A because I used a calculator

Answer: A

Step-by-step explanation:

function is a line points (3,2), (5,8), and (8,y) what is y

Answers

y = mx + b

[tex](3;\ 2)\to x_1=3;\ y_1=2\\\\(5;\ 8)\to x_2=5;\ y_2=8\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to m=\dfrac{8-2}{5-3}=\dfrac{6}{2}=3[/tex]

Therefore we have: y = 3x + b.

Put the coordinates of the point (3; 2) to the equation of the line:

[tex]2 = 3\cdot3+b\\2=9+b\ \ \ |-9\\b=-7[/tex]

Therefore we have: y = 3x - 7

Substitute the coordinates of the point (8; y) to the equation of the line:

[tex]y = 3\cdot8-7=24-7=17[/tex]

Answer: y = 17.

Q # 8 please solve the question

Answers

Let the two numbers be x and y

Their sum is 20, so we can write
x + y = 20

Their difference is 14, so we can write:
x- y = 14

Adding the two equations, we get:

2x = 34
x = 17

Using the value of x, in first equation, we get:

17 + y = 20
so,
y = 3

Thus the two numbers are 17 and 3.

So, option a is the correct answer

For this case we have the following system of equations:
x + y = 20
x-y = 14
Where,
x: real number
y: real number
Solving the system we have:
x = 17
y = 3
Therefore, the numbers are:
17 and 3
Answer:
17 and 3
option 1

At a college, 4/5 of the students take an English class. Of these students, 5/6 Composition. Which fraction of the students at the college take Composition?

Answers

If I’m doing it correctly it’s 2/3 but I haven’t done it in a while

Final answer:

The fraction of students who take Composition at the college is 2/3.

Explanation:

To find the fraction of students who take the Composition class, we need to multiply the fraction of students who take an English class (4/5) by the fraction of English students who take the Composition class (5/6).

Multiplying these fractions, we get (4/5) * (5/6) = 20/30 = 2/3.

Therefore, 2/3 of the students at the college take Composition.

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A certain country's postal service currently uses 6-digit zip codes in most areas. how many zip codes are possible if there are no restrictions on the digits used? how many would be possible if the first number could not be 0?

Answers

If any digit can be 0 to 9 with no restrictions, the number of possible zip codes is ...
10×10×10×10×10×10 = 10⁶ = 1,000,000.

Final answer:

For a 6-digit zip code with no restrictions, there would be 1,000,000 possible zip codes. If the first digit could not be a '0', the number of possible zip codes would decrease to 900,000.

Explanation:

We're dealing with a counting problem here. This problem involves basic principles of combinatorics.

Firstly, if there are no restrictions on the digits used, each of the six positions in the zip code can hold any digit from 0 to 9. There are 10 choices (from 0 to 9) for each of the 6 digits in the zip code which leads to 10^6 = 1,000,000 possible zip codes.

However, if the first number could not be 0, there are 9 possible choices for the first digit and 10 choices for each of the remaining 5 digits. Therefore, the number of possible zip codes would be 9 * 10^5 = 900,000.

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To test upper h 0 : mu equals 72 versus upper h 1 : mu less than 72, a simple random sample of size nequals20 is obtained from a population that is known to be normally distributed, and the sample standard deviation is found to be 6. complete parts (a) and (b) below.

Answers

We solve using equation [tex] \beta \sqrt{x} \sqrt[n]{x} \lim_{n \to \infty} a_n \alpha [/tex]⇔ ∈ ω. ㏒

What are the zeros of the function?

F (X) = x^3 - x^2 - 6x

A) -1, 0, and 3

B) -3, 0, and 1

C) -3, 0, and 2

D) -2, 0, and 3

Answers

Try this explanation:
if to re-write the function f(x)=x(x²-x-6), then to make up the equation x(x²-x-6)=0, it is possible to find the zeros requred:
x(x-3)(x+2)=0, x=0;x=-2;x=3.

answer: D -2;0;3

The answer is B. Just finished the test.

this is not a question i just need someone to make sure i did #16 right. Thanks;)

Answers

I think the length of pool in inches is actually 12*12=144 because there are 12 inches in a foot.
Also, the scale factor would be 144/16 = 9.

1 foot = 12 inches
so length of pool = 12 inches x 12 feet = 144 inches

144 /16 = 9
so the scale factor would be 1:9
which means the blueprint is 9 times smaller than the real pool

The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.

Answers

If this function can be written in the form y = ab^x, then we see that when x is inputted as 0, y is outputted as 4. This means that
                                          4 = ab^0
                                          a = 4
The value of a is 4.
We see that when x = 1, y = 2 thus
                                           y = 4b^x
                                          2 = 4(b^1)
                                          b = 1/2
The answers are a = 4 and b = 1/2

The exponential function gotten from the table is given by y = 4(1/2)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multipliers.

From the table, at point (0, 4):

4 = ab⁰a = 4

At point (3, 1/2):

y = abˣ1/2 = 4b³b = 1/2

The exponential function gotten from the table is given by y = 4(1/2)ˣ

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A display that shows how the values in a data set are distributed

Answers

Answer: Line Plot

Step-by-step explanation: A line plot is a display that shows how the values in a data set are distributed.

Answer: histogram

Step-by-step explanation:

change -115 degrees to radian measure in terms of pi

Answers

-23\pi/36 or -115\pi/180.

In order to find this, you need to take the degrees [ in this case -115 ] and multiply that by \pi/180. Then simplify that result if possible.

Hope this helps!

Answer:

-23/36 pi

Step-by-step explanation:

(-115 x pi) / 180

what is the best estimate for the total weight of these cold meat 1 7/8 lb of Bologna 1 and 1/2 pounds of ham and 7/8 lb of roast beef

Answers

well, it seems to be just a sum of all quantities, now let's firstly convert the mixed fractions to "improper"and then add them up,

[tex]\bf \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\\\ \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}\\\\ -------------------------------\\\\ \cfrac{15}{8}+\cfrac{3}{2}+\cfrac{7}{8}\quad \stackrel{LCD~8}{\implies }\quad \cfrac{15+12+7}{8}\implies \cfrac{34}{8}\implies \stackrel{simplified}{\cfrac{17}{4}}\implies 4\frac{1}{4}[/tex]

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