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3 years ago

15

Suppose that you roll two dice and don’t get to look at the outcome. Your friend looksat the outcome and tells you honestly that

at least one of the dice came up 6. What isthe probability that the sum of your two dice is 8?

1 answer:

puteri [66]3 years ago

3 0

Answer:

2/11

Step-by-step explanation:

We have to calculate this by

p(B nA)/p(A)

= We have A¹ to be that none of the die roll gives us 6

P(A¹) = 5/6²

P(A) = 1 -5/6²

= 11/36

BnA = one die being 6 and summation being equal to 8

= BnA = (6,2)(2,6)

= P(BnA) = 2/36

Therefore we have (2/36)/(11/36)

= 2/11

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What algebraic property is demonstrated in the equation below? 5(8× - 4) - 10 = 40x - 20 - 10

Nastasia [14]

Distributive Property

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3 years ago

Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?

erica [24]

Answer:

(a)

$V=x^3+x^2-9x-9$

(b)

$x=10$

(c)

$x=\frac{7}{2}$

Step-by-step explanation:

we are given

length is x+1

$L=x+1$

width is x+3

$W=x+3$

height is x-3

$H=x-3$

(a)

we can use volume formula

$V=L\times W\times H$

now, we can plug it

$V=(x+1)\times (x+3)\times (x-3)$

now, we can simplify it

$V=x^3+x^2-9x-9$

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

$V=x^3+x^2-9x-9=1001$

now, we can factor it

$\left(x-10\right)\left(x^2+11x+101\right)=0$

$x-10=0$

$x=10$

(b)

we are given volume

so, we can set

$V=14\frac{5}{8}=\frac{14\times 8+5}{8}$

$V=\frac{117}{8}$

and then we can solve for x

$V=x^3+x^2-9x-9=\frac{117}{8}$

now, we can factor it

$8x^3+8x^2-72x-189=0$

$\left(2x-7\right)\left(4x^2+18x+27\right)=0$

$2x-7=0$

$x=\frac{7}{2}$

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3 years ago

Please answer this qwq

balu736 [363]

Answer:

11

Step-by-step explanation:

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2 years ago

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Find the system of x.

marissa [1.9K]

Answer:

61 degrees

Step-by-step explanation:

A right angle equals 90 degrees.

90-29= 61

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3 years ago

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The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun

Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

2 students______________$10

1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

$\frac{num. of students}{sample size} * dollar spent$

Therefore,

For $10:

$\frac{2}{50} * 10 = 0.4$

For $8:

$\frac{1}{50} * 8 = 0.16$ l

For $6:

$\frac{12}{50} * 6 = 1.44$

For $5:

$\frac{23}{50} * 5 = 2.3$

For $4:

$\frac{8}{50} * 4 = 0.64$

For $3:

$\frac{4}{50} * 3 = 0.24$

To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24

= $5.18

Therefore, the expected value for a student to spend on lunch each day is $5.18

7 0

3 years ago