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3 years ago

Which represents a function? Edge 2020.

Mathematics

1 answer:

neonofarm [45]3 years ago

7 0

The data set {(-8,-2),(-4,1),(0,-2),(2,3),(4,-4)} represents a function because for every distinct input x has only one output y, whereas all the other data sets have at least one point of x in which has two or more outputs of y.

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You have 80 grams of a radioactive kind of vanadium. How much will be left after 48 days if it’s half-life is 16 days?

Tresset [83]

10 grams Vanadium will be left after 48 days

Further explanation:

Half-life is the time after which the chemical is reduced to half.

The reaming mass after half life is given by:

$mass\ fater\ half\ life=\frac{Original\ mass}{2}$

The formula for calculating the remaining mass after given time period is:

$Remaining\ substance=\frac{1}{2^n}*mass$

Here n is the number of half lives passed

Now,

Given

Mass=80 grams

Time= 48 days

Half-life = 16 days

The number of half lives will be:

$n=\frac{48}{16}=3$

Putting the values of n and mass in the formula

$Remaining\ substance=\frac{1}{2^3}*80\\=\frac{1}{8}*80\\=10\ grams$

10 grams Vanadium will be left after 48 days

Keywords: Half-life, radioactive

Learn more about half-life calculation at:

#LearnwithBrainly

6 0

3 years ago

Someone please help me with this geometry proof question ASAP!

vivado [14]

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

8 0

3 years ago

16 - 6 into 2 + 3 by 23 - 3 into 2

Alinara [238K]

Answer:

80.5

Step-by-step explanation:

8 0

3 years ago

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

5 0

3 years ago

Which is the volume of this cone (use 3.14 for , and round to the nearest hundredth)?

tensa zangetsu [6.8K]

Answer:

B. 19.17 cubic centimeters

3 0

3 years ago

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