A single die is rolled twice. the set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. find the probability of getting two numbers whose sum is greater than 10.

Answers

Answer 1
We need to find the rolls whose sum is greater than 10. By looking at the outcomes, we see that (5,6), (6,5), and (6,6) all have a sum greater than 10. Therefore, there are 3 chances to get a sum greater than 10. Since there are 36 chances overall, the probability of rolling greater than 10 are 3/36 = 1/12.
Answer 2

Answer:

Step-by-step explanation:

1/12


Related Questions

a line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify

Answers

The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7

A problem states
there are 5 more girls than boys and girls there are 27 students in the class in all How many boys are in the class
What are the unknowns in this problem

A Number of students in the class
B The number of boys in the class
C The number of girls in class
D The number of boys and the number of girls in class

Answers

the problem only stats there are 27 students and that there are 5 more girls than boys

 it does not say how many boys or how many girls there are so D should be the answer

What percent of 18 is 36

Answers

So you just want to say 36/18 or 2.

So it's 2, or 200%.
100%/x%=18/36

(100/x)*x=(18/36)*x       - we multiply both sides of the equation by x

100=0.5*x       - we divide both sides of the equation by (0.5) to get x

100/0.5=x 

200=x 
x=200

Mia's cat weighs 13 pounds, 7 ounces
About how many kilograms is this

Answers

Mias cat weighs about 6 kg
Her cat is About 6 kg :)

The fourth grade collected 40,583 cans and plastic bottles. Write the number in word form?

Answers

fourty-thousand,five-hundred eighty-three

Answer is 'Forty thousand, five hundred eighty-three'.

When we write numbers in word form, we express each digit's value in words. In the number 40,583, we have:

"Forty" represents the digit 4 in the ten thousands place.

"Five hundred" represents the digit 5 in the hundreds place.

"Eighty" represents the digit 8 in the tens place.

"Three" represents the digit 3 in the ones place.

A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin

Answers

So first I would say, what if all of them were dimes, how far away would it be from $14?

So 92 coins * 10 cents = $9.20

So it's 4.80 dollars away from 14 dollars.

So if we were to switch one to a quarter, it would increase by 0.15 cents.

So we want to see how many increases we need to reach 4.80 dollars more.

4.80/0.15 = 32

So there are 32 quarters and 60 dimes.

There are 60 dimes and 32 quarters.

Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:

0.10 x 92 + 0.25 x 0 = 9.20 0.10 x 72 + 0.25 x 20 = 12.20 0.10 x 52 + 0.25 x 40 = 15.20 0.10 x 62 + 0.25 x 30 = 13.70 0.10 x 60 + 0.25 x 32 = 14

Therefore, there are 60 dimes and 32 quarters.

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Illinois State tax is 4.98%. How much did Brody pay for a post card that cost $1.19?

Answers

so if we take 1.19 to be the 100%, what is 4.98% of that then?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1.19&100\\ a&4.98 \end{array}\implies \cfrac{1.19}{a}=\cfrac{100}{4.98}\implies \cfrac{1.19\cdot 4.98}{100}=a[/tex]

that much.  close to 6 pennies.

Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic?



A .8 + b

B. b + 8


C 8 - b


D. b - 8


Answers

8 - b

8 is the total amount of bottles that they started out with.
b is the amount that Nora and her friends drank.

b cannot be greater than 8, since 8 is the limit

C. 8 - b is your answer

hope this helps

what is the value of x in 7(3x - 13)=224 ?

Will mark brainliest!

Answers

7(3x-13)=224

21x-91 = 224

21x = 315

x = 315 / 21

x = 15

Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length of the box must be 2 times as large as the width. define a function j j that gives the height of the metal box, h h, measured in centimeters in terms of the width of the metal box, w w, measured in centimeters.

Answers

So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).

Find the interest rate for the given deposit and compound amount. $4600 accumulating to $5994.78, compounded monthly for 4 years.

Answers

Here we use the classic formula for Compound Amount:

A = P (1 + r/n)^nt

where P is the intial amount (i. e., the principal), r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

Then    $5994.78 = $4600 (1 + r/12)^(4*12)

or ...     $5994.78 = $4600 (1 + r/12)^48

We must solve for r.

Divide both sides of this equation by $4600:

1.303 = (1 + r/12)^48

Take the 48th root of both sides of this equation:

1.0056 = 1 + r/12
                                                                  
0.0056 = r/12                 Solve for r:    r = 12(0.0056) =  0.0672

The annual interest rate was 6.72%.

The rate of interest monthly is 0.55%.

Given that,

The deposit amount is $4,600.The future value is $5,994.78The number of months = 4(12) = 48.The payment i.e. PMT = $0

Based on the above information, the calculation is as follows:

The formula is

= RATE(NPER,PMT,-PV,FV,TYPE)

After applying the above formula, the rate of interest monthly is 0.55%.

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How to find two fractions between 3/5 and 4/5

Answers

you would have to change the fifths to a different denominator

Boel decided to plant rose bushes in her garden. She has 24 bushes she places 6 bushes in each row. How many rows of rose bushes does she plant in her garden

Answers

Answer:

she can plant 4 rows of bushes

Step-by-step explanation:

6 x _ = 24 (4) or 24 divided by 6 = 4

Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need to sell to reach his goal of $200 in sales?

Three of these equations solve for the number of T-shirts, t, he still needs to sell to reach $200 in sales. Which equation does NOT?

A. t = 9
B. 8(t + 16) = 200
C. 8t + 128 = 200
D. 8t + 16 = 200

Answers

D. When you do the math, the results to everything should be t=9. D is the only outlier. Therefore, D is the answer in this case. 

If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is ________?

Answers

Volume of a cylinder with radius r and height H, Vc = π (r^2)*H

Volume of a conce with radius R and height H, Vcone = (1/3) π (R^2) * H

Vcone = Vc => (1/3)π (R^2)*H = π(r^2)*H

=> R^2 = 3 * (r^2)

=> R = r√3

Answer: R = r √3

use mental math to solve the equation z/-12 = -5

Answers

z=60

because
z/-12 = -5
z= (-5)(-12)
z= 60

Which of these r-values represents the weakest correlation?

A. –0.75
B. –0.15
C. –0.55
D. –0.35

Answers

Answer: B. -0.15

Step-by-step explanation: It is the farthest from -1 so it would be -0.15.

The correct r - value which represents the weakest correlation is, - 0.15.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Apply the absolute value to each number.

In other words, remove the negative sign to determine the positive version of that number.

-0.75 turns into 0.75

-0.15 turns into 0.15

-0.55 turns into 0.55

-0.35 turns into 0.35

Here, The smallest result is 0.15, which is closest to 0.

Thus, The closer r is to 0, the weaker the correlation.

Hence, The correct r - value which represents the weakest correlation is, - 0.15.

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On the blueprint of a house, 48 millimeters represents 7 meters. the length of the living room is 60 millimeters on the blueprint, what is the actual length of the living room?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{blueprint}{mms}&\stackrel{actual}{meters}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 48&7\\ 60&x \end{array}\implies \cfrac{48}{60}=\cfrac{7}{x}\implies x=\cfrac{60\cdot 7}{48}[/tex]

what is 0.688 as a percent

Answers

68.8% is your answer

when changing a decimal to a percentage, move the decimal point twice over

hope this helps
It's 68.8%. You move the decment right two. 

a telephone pole needs a wire attached to its top and anchored to the ground at a point that is 56 feet less than the height of the pole. if the wire is to be 16 feet longer than the height of the pole what is the height of the pole

Answers

check the picture below.

[tex]\bf (y+16)^2=(y-56)^2+y^2 \\\\\\ \underline{y^2}+32y+16^2=y^2-112y+56^2+\underline{y^2} \\\\\\ 32y+256=y^2-112y+3136\implies 0=y^2-144y+2880 \\\\\\ 0=(y-24)(y-120)\implies y= \begin{cases} \boxed{120}\\ 24 \end{cases}[/tex]


it cannot be 24, because then the ground base area will be 24 - 56, which is a negative amount and unfeasible for the phenomena.

A reasonable APR to pay for a 3-year automobile loan is

Answers


if you got a five % apr for 60 monthes you 

Marcus mixes 5 parts white paint with 2 parts red paint to make pink. Suppose he adds one part of each. What is the new ratio of red to white?

Answers

Final answer:

In genetics, crossbreeding a white-eyed male fruit fly with a heterozygous red-eyed female typically results in a 1:1 ratio of red-eyed to white-eyed offspring if eye color is an X-linked trait and red is dominant over white.

Explanation:

The question pertains to genetics, specifically the inheritance patterns of eye color in fruit flies (Drosophila melanogaster), which is a classic example in the field of genetics. When crossing a white-eyed male (mutant allele) with a female that is heterozygous for red eye color (one red allele and one white allele), the offspring will have a 1:1 ratio of red-eyed to white-eyed if eye color is an X-linked trait. This is because the male passes on his Y chromosome without the eye color allele to half the offspring, and his X chromosome with the white eye color allele to the other half. The female passes on one of her X chromosomes to all the offspring—half of these will carry the red allele and the other half will carry the white allele.

If the trait follows simple Mendelian inheritance, assuming red eye color is dominant over white, the offspring ratio will be 50% red-eyed (having one red allele from the mother and one white allele from the father), and 50% white-eyed (having one white allele from the mother and one from the father).

it's 3 to 6 your welcome have a nice day :>

Using the first derivative test, find all relative extrema for f(x) g

Answers

jdxjvbjfjck kdjndkb kehckbksjckiv jcjuw

For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0

Answers

The Variance is  [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].

What is Variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Given:

E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]

=  [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]

For the variance, if μ is the mean, then

Var(x) = E( x- μ)²

= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]

Learn more about variance here:

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Find the point on the plane nearest to g 2x+5y+z=10 that is nearest (2,0,1)

Answers

A bc it makes the most sence

Which of the following is a function equivalent to f(x) = 4(1.8)2x?

f(x) = 4(3.24)x
f(x) = 4(3.24x)
f(x) = 12.96x
f(x) = 51.84x

Answers

The answer is C hope this helps!

Answer:

A: f(x) = 4(3.24)x

(you forgot to put the "^" symbol before the X to show it is rising to "2x",, AKA an exponent, but that's ok <3

Step-by-step explanation:

Please do not listen to the other answer! It is wrong and i will show you why.

First we need to take a look at the exponent and the number in parentheses. If anyone remembers, we need to use the distributive property to distribute the '2' in the exponent '2x' to the number(s) inside the parentheses.

So you would go: 1.8 x 2 = 3.24

You would then put the 3.24 in the place of the 1.8 to give you:

f(x) = 4(3.24)^x

Now, you may ask, 'biscuit, why do we keep the exponent 'x'? shouldn't we put it inside the parentheses?',, and to that i say no! We only used the 2 from the exponent, so the x stays in it's place.

You also might ask 'biscuit, why don't we go a step further and multiply the 4 by the 3.24?',, and to that I also say no! Remember, the question asked us to find a function equivalent to our original equation, not solve the whole equation <3

If you have any questions please don't hesitate to ask!

-Biscuit08

What would a frog do if he could not find scissors to cut a coupon out of the newspaper?

Answers

lick it until it gets wet enough to rip it.


Trigonometric area formula: Area = 1/2 ab sin(c)

What is the area of triangle DEF? Round to the nearest tenth of a square unit.

10.3 square units
18.0 square units
20.0 square units
20.6 square units

Answers

Answer:

1.  10.3 square units.

Step-by-step explanation:  

The general formula for area of triangle is [tex]\frac{1}{2}(\text{ Base}\times\text{ Height}})[/tex]. We can also find area of a triangle using trigonometric area formula.

[tex]Area=\frac{1}{2} ab\text{ sin}(c)[/tex], where a represents length of base and height of triangle is represented by [tex]b\text { sin}(c)[/tex].  

We have been given two angle measures but we can only use sine of included angle whose two side lengths are given. In our triangle the angle that measures 31 degrees in included angle of sides EF and DF.  

Now let us substitute our given values in the above formula.  

[tex]Area=\frac{1}{2}\times 8\times 5\text{ sin}(31)[/tex]

[tex]Area=\frac{1}{2}\times 8\times 5\times 0.51503807491[/tex]

[tex]Area=4\times 5 \times 0.51503807491[/tex]

[tex]Area=20 \times 0.51503807491[/tex]

[tex]Area=10.3007614982\approx 10.3[/tex]

Therefore, the area of triangle DEF is 10.3 square units and 1st option is the correct choice.

Answer:

10.3= the awnser

Step-by-step explanation:

just took test and got it right.

Jon is looking into 4250 vaction packages that offerend for 25% off.there is 9% resort fee added on the total.how much will the vaction cost Jon?

Answers

To get discount price multiply 4250 by (1-discount percent)

$4250x(1-.25)= $425-x(.75) =$3,187.50

To get price after fee is included 
multiply the 3,187.50 by (1+fee percentage)

$3,187.50x(1+.09)
3,187.50x(1.09)
=$3,474.375
=$3,474.36

What is 32.51 in word form
Please help thx

Answers

Thirty two and fifty-one hundreths
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