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3 years ago

Examine the diagram, and answer the question.

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

9514 1404 393

Answer:

11.7

Step-by-step explanation:

GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.

The distance formula is used for this:

d = √((x1 -x1)² +(y2 -y1)²)

d = √((-4-2)² +(-3-7)²) = √(36 +100)

d = √136 ≈ 11.7

_____

Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.

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Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to r

sergij07 [2.7K]

P(5 on one throw) = 1/8
expected number of 5's in 400 throws = 1/8 * 400 = 50

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Find the mean for the given set of data.<br> 18, 15, 22, 18, 25, 19, 23<br> 20

cluponka [151]

Answer: 20

Step-by-step explanation:

You find the mean by adding up all the numbers in a data set, then dividing by the number added.

18 + 15 + 22 + 18 + 25 + 19 + 23 + 20 = 160

We added 8 numbers together, so we divide 160 by 8

160/8 = 20

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4. What expression represents the width of the room?

Irina18 [472]

Answer:

35-4

Step-by-step explanation:

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A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all

barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all are boys. Assume that the probability of having a girl is 47.00%.

a) Create a probability model for the number of children they'll have.

X=1,2,3

P(X=1)=??

P(X=2)= ??

P(X=30=???

(Round to four decimal places as needed

b) Find the expected number of children.

E(X)= ???

c) Find the expected number of boys they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

= 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

= 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

= 0.148875×3 +0.46375×2+0.2491 ×1

= 1.6232

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3 years ago

X= -8y + 8<br> x= -2y + 2 <br> How do I solve this system of equations

Agata [3.3K]

Answer:

According the the Property of Equality (POE), if a=b and b=c, then a=c.

If -8y + 8 = x and x = -2y + 2, substitute so that it becomes -8y + 8 = -2y + 2.

Solve from there:

Move the y variables to their own side.

-8y + 2y = 2-8

-6y = -6

y = -6

Then plug the y into either equation to find x.

x = -2y + 2

x = -2(-6) + 2

x = 12 + 2

x = 14

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3 years ago