Suppose that two balanced, six sided dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. (a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7

Answers

Answer 1

Answer:

[tex]\frac{(2/36)}{(1-(28/36))} = 1/4[/tex]

Step-by-step explanation:


Related Questions

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

Answers

Answer:

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M < μ F H 0 : μ M = μ F H 1 : μ M > μ F H 0 : p M = p F H 1 : p M ≠ p F H 0 : p M = p F H 1 : p M < p F H 0 : p M = p F H 1 : p M > p F H 0 : μ M = μ F H 1 : μ M ≠ μ F

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 40 men, 25%Based on a sample of 40 men, 25% owned cats

Based on a sample of 40 women, 40% owned cats

The test statistic is:

The p-value is:

Based on this we:

Reject the null hypothesis

Fail to reject the null hypothesis

What is the range of the function shown in the graph?
у
A
8
6
2
2
X
8
- 6
2
4
6
8
2
4
6
ce
I
OA. -5 < y < 0
OB -00 O c. - < y < -5
-
5

Answers

Answer:

-∞ <y<5

Step-by-step explanation:

The range of the graph is the values that y can take.  The graph can go from negative infinity to 5

-∞ <y<5

Consider the function h(x) =StartFraction 1 Over x EndFraction . Which graph shows h(2x) + 4? On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It goes through (0.5, 1), (1, negative 2), and (2, negative 3). Another curve opens down and to the left in quadrant 3. It goes through (negative 4, negative 4.5) and (negative 2, negative 5). On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It approaches the y-axis in quadrant 1, and then curves down through (0.5, negative 3) and then approaches y = negative 4. Another curves opens down and to the left in quadrant 3. It approaches y = negative 4 and then curves down through (negative 1, negative 4.5). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (2, 5) and (3, 4.5). Another curve opens down and to the left in quadrants 2 and 3. It goes through (negative 1, 2) and curves down through (negative 0.5, negative 1). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (1, 4.5) and (4, 4). Another curve opens down and to the left in quadrants 2 and 3. It approaches y = 4 and then curves down and approaches the y-axis in quadrant 3. Mark this and return

Answers

Answer:

Graph D

Step-by-step explanation:

correct answer on edge :)

Answer:

D

Step-by-step explanation:

Simplify your answer

Answers

Answer:

= F^2 x^2

Step-by-step explanation:

(F(x))^2

Apply the rule: (a) =a     (x) = x

= (Fx)^2

Apply exonent rule: (a . b)^n = a^n b^n      (Fx)^2 = F^2 x^2

= F^2 x^2

If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing
measure.

Answers

Answer:

Step-by-step explanation:

The measure for each angle is shown below.

What is Equilateral Triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given:

As, ∆ABC and ∆DBE is an equilateral triangle.

In Equilateral Triangle all the angles are Equal.

So,  4x+ 3= 9x- 7

5x = 50

x= 10

and, <1 = <9 = 4x+ 3= 43

and, <4 = <5 = <6 = 180/ 3= 60

ans, <3 = <8 = 180-60= 120

Also, <2 = < 7 = 180- <1- <3= 17

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The programming code below shows an ''if-else'' function. After the code is run, the variable ''y'' is equal to _______.

int x, y;
x = 0; y = 0;
if (x < 0) { y = y + 1; }
else { y = y + 2; }

Answers

Answer:

2

Step-by-step explanation:

Since x=0, and it's not <0, the "else statement" is executed making y=0+2

There is a category called "computer and technology", maybe you can get better answers if you select that instead of "mathematics"

Help ask anyone have any more answers for the eye level program

Answers

Answer:

1) -[tex]\sqrt{32}[/tex]

2) -[tex]\sqrt{108}[/tex]

3) -[tex]\sqrt{80}[/tex]

4) -[tex]\sqrt{112}[/tex]

5) -[tex]\sqrt{40}[/tex]

6) -[tex]\sqrt{99}[/tex]

7) -[tex]\sqrt{50}[/tex]

8) -[tex]\sqrt{150}[/tex]

Step-by-step explanation:

-4√2= -√32-6√3= -√36-4√5= -√80-4√7= -√112-2√10= -√40-3√11= -√99-5√2= -√50-5√6= -√150

please mark this answer as brainlist

Find the size of angle XZY give your answer

Answers

The diagram or the shape

Answer:

yeah u forgot to add the picture ig

Please help meeee pleaseeee

Answers

Answer:  1260

Explanation:

Refer to the diagram below. There are n = 9 sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

This nonagon (9 sided polygon) has its interior angles add up to 1260 degrees.

Find the missing term in the pattern.

Answers

Answer:

20

Step-by-step explanation:

20. the answer is 20 good luck bub

Which graph has a domain of all real numbers?

Answers

Nit sure but it is the second one

1. Find the exact value of sin( a−B), given that sin a=−4/5 and cos B=12/13, with a in quadrant III and B in quadrant IV.

2. Find all real numbers in the interval [0,2pi) that satisfy the equation.

3sec^2 x tan x =4tan x

3. Simplify the following trigonometric expressions, using identities as needed:

sin(x)/1−cos(x) + 1−cos(x)/sin(x)

Answers

(1) Recall that

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

sin²(x) + cos²(x) = 1

Given that α lies in the third quadrant, and β lies in the fourth quadrant, we expect to have

• sin(α) < 0 and cos(α) < 0

• sin(β) < 0 and cos(β) > 0

Solve for cos(α) and sin(β) :

cos(α) = -√(1 - sin²(α)) = -3/5

sin(β) = -√(1 - cos²(β)) = -5/13

Then

sin(α - β) = sin(α) cos(β) - cos(α) sin(β) =  (-4/5) (12/13) - (-3/5) (-5/13)

==>   sin(α - β) = -63/65

(2) In the second identity listed above, multiplying through both sides by 1/cos²(x) gives another identity,

sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)

==>   tan²(x) + 1 = sec²(x)

Rewrite the equation as

3 sec²(x) tan(x) = 4 tan(x)

3 (tan²(x) + 1) tan(x) = 4 tan(x)

3 tan³(x) + 3 tan(x) = 4 tan(x)

3 tan³(x) - tan(x) = 0

tan(x) (3 tan²(x) - 1) = 0

Solve for x :

tan(x) = 0   or   3 tan²(x) - 1 = 0

tan(x) = 0   or   tan²(x) = 1/3

tan(x) = 0   or   tan(x) = ±√(1/3)

x = arctan(0) +   or   x = arctan(1/√3) +   or   x = arctan(-1/√3) +

x =   or   x = π/6 +   or   x = -π/6 +

where n is any integer. In the interval [0, 2π), we get the solutions

x = 0, π/6, 5π/6, π, 7π/6, 11π/6

(3) You only need to rewrite the first term:

[tex]\dfrac{\sin(x)}{1-\cos(x)} \times \dfrac{1+\cos(x)}{1+\cos(x)} = \dfrac{\sin(x)(1+\cos(x))}{1-\cos^2(x)} = \dfrac{\sin(x)(1+\cos(x)}{\sin^2(x)} = \dfrac{1+\cos(x)}{\sin(x)}[/tex]

Then

[tex]\dfrac{\sin(x)}{1-\cos(x)}+\dfrac{1-\cos(x)}{\sin(x)} = \dfrac{1+\cos(x)+1-\cos(x)}{\sin(x)}=\dfrac2{\sin(x)}[/tex]

I need help answering this question.

Answers

Answer:

hello dude

x - 9 = - 12

x = 9 -12

x = -3

HAVE A NİCE NİGHT

Step-by-step explanation:

Greetings from Turkey

We have to,

find the required value of x.

Let's start,

→ x - 9 = -12

→ x = -12 + 9

→ x = -3

Thus, -3 is the value of x.

[tex]3x+7=12-2x;1[/tex]

Answers

Step-by-step explanation:

[tex]3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x = 5 \\ x = \frac{5}{5} \\ x =1[/tex]

The U.S. average for state and local taxes for a family of four is $4172. A random sample of 20 families in a northeastern state indicates that they paid an annual amount of $4560 with a standard deviation of $1590. At α = 0.05, is there sufficient evidence to conclude that they pay more than the national average of $4172?

Answers

Answer:

Calculating p-value from excel  

p-value = 0.144458 (From excel  =T.DIST.RT(1.091,19))  

p-value = 0.144458 > 0.05  

So, we failed to reject the null hypothesis. There is sufficient evidence to conclude that they pay not more than the national average of $4172.

Step-by-step explanation:

Here the given de4tails are,

Hypothesized mean = 4172

Sample Standard deviation = 1590

Sample mean = 4560

Sample size n = 20

Formulation of hypothesis

Which is the graph of the function y = 2(4)^x

Answers

Answer:

the second graph is correct

Step-by-step explanation:

The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the left. Complete its equation. Enter exponents using
the caret (-); for example, enter x as x^4. Do not include "G(x) =" in your
answer.
G(x) =

Answers

Answer:

G(x) = x+3

Step-by-step explanation:

The equation of the graph is G (x) = (x - 3)⁴

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relation between a set of inputs having one output each is called a function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, the graph is 3 units left to function F (x) = x⁴.

The equation of the graph is G (x) = (x - 3)⁴

Hence, the equation of the graph is G (x) = (x - 3)⁴

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Kala drove 819 miles in 13 hours.
At the same rate, how long would it take her to drive 441 miles?

Answers

Answer:

[tex]{ \tt{ \frac{819}{13} = \frac{441}{h} }} \\ { \tt{h = \frac{(441 \times 13)}{819} }} \\ h = 7 \: hours[/tex]

100 POINTS!!
Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.


Question: Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.

Answers

......hope it helps......

Answer:

yes,.to obtain sinx as 1 the angle must be 90degrees

so the answer is correct

but there are more solutions like when the cosine angle is 45 the answer is 1

and when x is 450 still sinx = 1..that is to say sin450= 1

Given a parametric curve

{x = 2 cost
{y = 4 sint 0 <= t <= π

a. Set up but do NOT evaluate an integral to find the area of the region enclosed by the curve and the x-axis.
b. Set up but do NOT evaluate an integral to find the area of the surface obtained by rotating the curve about the x-axis.

Answers

(a) The area of the region would be given by the integral

[tex]\displaystyle\int_0^\pi y(t)\left|x'(t)\right|\,\mathrm dt = 8 \int_0^\pi \sin^2(t)\,\mathrm dt[/tex]

(b) The area of the surface of revolution would be given by

[tex]\displaystyle\int_0^\pi y(t)\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt = 4\int_0^\pi\sin(t)\sqrt{4\sin^2(t)+16\cos^2(t)}\,\mathrm dt[/tex]

Can someone give me the letter to all answers 1-4 or at least one 3

Answers

Answer:

hello there here are your answers:

1) a- 12, 18, 24, 30, 36

2) b- 31

3) a-communitive property of addition

4) a- 6a

Step-by-step explanation:

1: go through all the numbers and add 6 like 12+6=16 etc.

2: the common difference is 4 so 27+4 =31

3: communitive property because you can change the number in any order and still get the same sum

4: 6a because only 24ab has a b in it

what is 4/7 raised to the power of negative 1 as a rational number​

Answers

Answer:

7/4

Step-by-step explanation:

(4/7)^-1

We know a^-b = 1/a^b

1/ (4/7)^1

7/4

Answer:

(4/7)^-1

=1/(4/7)^1

=1÷4/7

=1×7/4

=7/4

Therefore 7/4 is equal to 1.75 as a rational number

Which statement is false?
A. Every irrational number is also real.
B. Every integer is also a rational number.
• C. Every rational number is also an integer.
D. No rational number is irrational.

Answers

Answer:

A. false B. true C. false D. true

Whope you all like this answer

1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}

Answers

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

Which of the following as describes the slope of the line below ? Help pls

Answers

Answer:

I think C

Step-by-step explanation:

Sorry if its wrong

Help please!!
The triangles are similar by:
the SAS similarity theorem.
the ASA similarity theorem.
the AA similarity postulate.
None of the choices are correct.
the SSS similarity theorem.

Answers

I believe the SSS theorem as they both share/have side measurements (and no defined angles)

: Use the image to complete the equation below.

Answers

Vertically opposite angles are equal.

So,

(11y - 36)° = 63°

=> 11y - 36 = 63

Answer:

11y-36=63

Step-by-step explanation:

use the concept of vertically opposite angle

A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (5x+1)(7x−7) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form

Answers

Answer:

35x^2 - 28x - 7

Step-by-step explanation:

You are designing an experiment using human subjects. The study will include 30 participants. Of these, 16 will be placed in the experimental group and the remaining 14 will be placed in the control group. In how many ways can you assign participants to the two groups?

Answers

Answer:

The participants can be assigned in 224 different ways.

Step-by-step explanation:

Given that you are designing an experiment using human subjects, and the study will include 30 participants, of which 16 will be placed in the experimental group and the remaining 14 will be placed in the control group, to determine in how many ways can you assign participants to the two groups the following calculation must be performed:

16 x 14 = X

224 = X

Therefore, the participants can be assigned in 224 different ways.

express ratio as a fraction in it's lowest terms.48s to 5minutes​

Answers

Answer:

4/25.

Step-by-step explanation:

We need to have the 2 values in the same unit so:

converting minutes to seconds:

5 mins = 5*60 = 300 seconds.

The require fraction =

48/300              

The GCF of 48 and 300 is 12 so we have:

48/12 / 300/12  

= 4/25

The required fraction of 48 seconds to 5 minutes is  4 / 5 minutes.

Given that,
To express the ratio as a fraction in its lowest terms.48s to 5 minutes​.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
60 second = 1 minute
1 second = 1 / 60 minute
multiply both sides by 48
48 second = 48 / 60 minute
48 second = 4 / 5 minute


Thus, the required fraction of 48 seconds to 5 minutes is  4 / 5 minutes.

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